**Patent**“A system and method for determination of Crack progression” (Ref. No. P.1323.IN; Application No. 201711012057; Date of filing: April 3, 2017). I had been Academic Visitors in number of universities viz., NUS,

**Singapore**; NTU, Singapore; University Malaya,

**Malaysia**; City University and Hong Kong Poly. University,

**Hong Kong**; Tokyo University of science,

**Japan**; I attended and delivered lectures in various international conferences in

**USA, Japan, Switzerland, Italy, France, England, Scotland, Greece, China, Taiwan, Singapore, Malaysia, Thailand, Bangladesh**. I have also delivered invited lectures in conferences/workshops in various institutes in India viz., Ramanujan institute for Advanced study in Mathematics, University of Madras, NIT, Durgapur, NIT, Silchar, Jadavpur University etc. Last year, I had been in

**Glasgow, Scotland**and

**London, England**for participating in an international conference IWCMM28 and for an academic interaction during September 10-16, 2018. I had been an Academic Visitor in the Department of Mathematical Sciences, University of South Africa, Johannesburg,

**South Africa**during March 14-20, 2018 and also had been Academic visitor in the Institute of Mathematical Sciences, University Malaya, Kuala Lumpur during December 16-23, 2018.

I have supervised Nineteen Scholars (19) for their Doctoral Programme (17 have been awarded and 02 submitted) and Twenty one students (21) during their Post Graduate Programme. Presently, Eight Research Scholars and Two Post Graduate Students are working under my supervision. One Post doctoral student is working under my supervision in the area Dynamical system for the period of three years.

I have the experience to work as Deputy Co-ordinator, SAP, UGC. I have completed projects from the Funding Agencies like BRNS, BARC and TCS, India. I am also working as a Principal Investigator for my ongoing project tiled “Study and Analysis of Mathematical Models of Nonlinear Fractional order Diffusion Equations” approved by SERB, Department of Science & Technology, Govt. of India.

Recently, one of my research articles has been Accepted in "**IEEE Transaction of Neural Networks and Learning Systems**" (Impact Factor: **7.98**).

My institute IIT (BHU) has conferred me the **“Excellence in Teaching Award”** for the session 2016-17.

- MA 101: Engineering Mathematics
- MA 202: Probability & Statistics
- MA 203: Mathematical Methods
- CSM 311: Mathematical Modelling & Simulation

**Fracture Mechanics :**

**S. Das**and B. Patra, Moving Griffith Crack at the interface of two dissimilar orthotropic Half-Planes,**Engineering Fracture Mechanics,**V. 54, 523-531 (1996).**S. Das**and B. Patra, Stress Intensity Factors and Crack Energies for a Cruciform crack in an Orthotropic elastic plane,**Bulletin of Calcutta Mathematical Society,**V. 89, 59-64 (1997).**S. Das**, B. Patra and L. Debnath, Diffraction of SH-Waves by a Griffith Crack in an infinite Orthotropic medium,**Applied Mathematics Letters,**V. 12, 57-61(1997).**S. Das**and B. Patra, Stress Intensity Factors for a pair of equal parallel interfacial cracks on a layer sandwiched between two dissimilar Half-planes, Proceeding of the 10^{th}Mathematical Conference,**Bangladesh Mathematical Society,**V. 89, 59-64 (1997).**S. Das**, B. Patra and L. Debnath, Stress Intensity Factors for an interfacial crack between an Orthotropic Half-plane bonded to a dissimilar Orthotropic layer with a punch,**Computers and Mathematics with applications,**V. 35, 27-40 (1998).**S. Das**and B. Patra, Stress Intensity Factors for moving interfacial crack between bonded dissimilar fixed orthotropic layers,**Computers and Structures,**V. 69, 459-472 (1998).**S. Das**and B. Patra, Interaction between three Line Cracks in a Sandwiched Orthotropic Layer,**International****Journal of Applied Mechanics and Engineering,**V.3, 249-269 (1997).**S. Das**, B. Patra and L. Debnath, Stress Intensity factors for an interfacial Griffith crack in composite media,**International Journal of Engineering Science,**V. 37, 453-475(1999)**S. Das**and B. Patra, A pair of equal collinear interfacial Griffith Cracks,**International****Journal of Applied Mechanics and Engineering**, V. 4, 97-112 (1999).**S. Das**and B. Patra, Stress Intensity Factor around a Griffith Crack in Orthotropic Punched Layer,**Indian****Journal of Pure and Applied Mathematics,**V. 30, 1003-1015 (1999).**S. Das**and L. Debnath, Interaction of Elastic Waves by an interfacial Griffith Crack,**International Journal of Computers and Mathematics with applications,**V. 38, 151-158(1999).**S. Das**, B. Patra and L. Debnath, Stress Intensity Factors around two coplanar Griffith Cracks in an Orthotropic layer sandwiched between two identical Orthotropic Half-planes,**International Journal of Engineering Science,**V. 38, 121-133(2000).**S. Das**and L. Debnath, Study of static cruciform crack in an Orthotropic elastic media,**Computers and Mathematics with applications,**V.40, 569-575(2000).**S. Das**, B. Patra and L. Debnath, Diffraction of SH-Waves by collinear Griffith cracks in an infinite transversely Isotropic medium,**Canadian Applied Mathematics Quarterly,**V. 8, 17-26 (2000).**S. Das**, B. Patra and L. Debnath, Interaction between Griffith cracks at the interface of elastic media,**Korrean Journal of Comput. and Applied Math.,**V.8, 59-69(2001).**S. Das**, Three interfacial Griffith cracks between bonded dissimilar elastic media,**International****Journal of Applied Mechanics and Engineering,**V. 6,133-149(2001).**S. Das**, On a moving interfacial Griffith crack at the interface of two bonded dissimilar Orthotropic Half-Planes,**ZAMM. Z. Angrew. Math. Mech.,**V. 81,281-287(2001).**S. Das**and L. Debnath, Stress Intensity Factor around a moving Griffith Crack in a Punched Orthotropic Layer,**Mathematical and Computer Modelling,**V.33, 957-963(2001).**S. Das**, Interaction between line cracks in an Orthotropic Layer,**International Journal of Mathematics and Mathematical Sciences,**V.29, 31-42(2002).**S. Das**and L. Debnath, Interaction between Griffith cracks in a sandwiched Orthotropic layer,**Applied Mathematics Letters,**V.16, 609-617(2003).- A. Baksi,
**S. Das**, and R. K. Bera, Impact Response of a Cracked Orthotropic Medium- Revisited,**International Journal of Engineering Science,**V.41, 2063-2079(2003). **S. Das**and B. Patra, A Pair of equal collinear Interfacial Cracks between bonded dissimilar fixed Isotropic Layers -**International****Journal of Applied Mechanics and Engineering,**V.8, 167-175 (2003).**S. Das**, Moving Interfacial Griffith cracks between bonded dissimilar Orthotropic Half Planes,**Canadian Applied Mathematics Quarterly,**V.12, 303-322 (2004).**S. Das**, B. Patra and L. Debnath, On Elastodynamical problem of Interfacial Griffith Cracks in Composite Media,**International Journal of Engineering Science,**V.42, 736-752 (2004).- A. Baksi,
**S. Das**and R. K. Bera, Interaction of moving Interfacial cracks between bonded dissimilar elastic strips under antiplane shear -**International Journal of Pure and Applied Mathematics,**V.15, 13-24 (2004). **S. Das**, Pair of Collinear interface cracks between dissimilar fixed orthotropic layers,**International Journal of Computational Civil and Structural Engineering,**V.1, 65-78 (2005).**S. Das**and S. Mukherjee, Moving Interfacial Griffith Crack between dissimilar Media,**Journal of Applied Mathematics,**V.2005, 289-299 (2005).**S. Das**, Elastodynamic Response of a Cracked Orthotropic Medium under Impact loading,**Computational Materials Science,**V.37, 187-192 (2005).- S. Mukherjee and
**S. Das**, Moving Griffith Crack in an Orthotropic Strip with Punches at boundary faces,**International Journal of Mathematics and Mathematical Sciences,**V.19, 3157-3167 (2005). - S. Mukherjee and
**S. Das**, Weight Function for a crack in an Orthotropic medium under Normal Impact loading,**International Journal of Applied Mechanics and Engineering,**V.11, 915-928 (2006). **S. Das**, Interaction of moving interface collinear Griffith cracks under Antiplane Shear,**International Journal of Solids and Structures,**V.43, 7880-7890 (2006).**S. Das**, Weight function for a crack in a two-dimensional Orthotropic medium under impact shear loading,**International Journal of Fracture,**V. 142, 331-338 (2006).- A. Baksi,
**S. Das**and R. K. Bera, A Note on thermo elastic problem of two collinear Griffith cracks in an Orthotropic medium,**International Journal of Pure and Applied Mathematics,**V. 36, 365-374 (2007). **S. Das**and B. Patra, Impact Response of a Cracked Orthotropic Strip,**International Journal of Computational Civil and Structural Engineering,**V.1, 36-46 (2007).- S. Mukherjee and
**S. Das**, Interaction of three interfacial Griffith cracks between bonded dissimilar orthotropic half planes,**International Journal of Solids and Structures,**V.44, 5437-5446 (2007). **S. Das**, S.Chakrborty, N.Srikanth and M.Gupta, Symmetric Edge Crack in an Orthotropic strip under normal loading,**International Journal of Fracture,**V.153, 77-84 (2008).**S. Das**, Elastodynamic Response of Cracked Orthotroppic Strip under Impact Loading,**International Journal of Fracture,**V.153, 177-184 (2008).**S. Das**, Weight function for an Edge Crack in an infinite Orthotropic strip under normal point force loading,**ZAMM. Z. Angrew. Math. Mech.,**V.90, 271-277(2010).**S. Das**, S. Mukhopadhyay and R. Prasad, Stress Intensity Factor of an edge crack in bonded orthotropic materials, I**nternational Journal of Fracture,**V.168, 117-123 (2011).**S. Das**, S. Mukhopadhyay and R. Prasad, Stress intensity factor of an edge crack in composite media,**International Journal of Fracture,**V. 172, 201–207 (2011).**S. Das**, S. Mukhopadhyay and R. Prasad, Boundary integral equation formulation for coupled thermo-elasticity with three phase-lags -**Mathematics and Mechanics of Solids,**V.18, 44-58 (2013).**S. Das**, S. Mukhopadhyay and R. Prasad, A two dimensional problem of Mode-I crack in a type III thermoelastic medium,**Mathematics and Mechanics of Solids**, V. 18, 506-523 (2013).- P. K. Mishra,
**S. Das**and M. Gupta, Interaction between interfacial and sub-interfacial cracks in a composite media - Revisited,**ZAMM. Z. Angrew. Math. Mech.,**V.96 (2016) 1129–1136. - P. K. Mishra and
**S. Das**, Interaction between interfacial collinear Griffith cracks in composite media under thermal loading,**Zeitschrift für Naturforschung A,**V. 71, 465–473 (2016). - P. K. Mishra and
**S. Das**, Two interfacial collinear Griffith cracks in thermo-elastic composite media,**Thermal Science**, doi:10.2298/TSCI151017210M (2016). - P. K. Mishra, P. Singh and
**S. Das**, Study of thermo-elastic cruciform crack with unequal arms in an orthotropic elastic plane,**ZAMM. Z. Angrew. Math. Mech.,**Accepted (2017). - P. K. Mishra, P. Singh and S. Das, Interaction of three interfacial cracks between an orthotropic half-Plane bonded to a dissimilar orthotropic layer with punch,
**Zeitschrift für Naturforschung A,**Accepted (2017).

**Mathematical Modelling :**

**S. Das**, Solution of Fractional Vibration Equation by the Variational Iteration Method and Modified Decomposition Method,**Int. J. of Nonlinear Sciences and Numerical Simulation,**V.9, 361-366 (2008).- Rajeev, K.N. Rai and
**S. Das**, Numerical Solution of a Moving Boundary Problem with variable latent heat,**Int. J. of Heat and Mass Transfer,**V.52, 1913-1917 (2008). **S. Das**, Analytical approximate solution of diffusion equation of fractional order by Variational Iteration Method,**Chaos, Solitons & Fractals,**Accepted (2009).**S. Das**, Solution of Vibration Equation by Variational Iteration Method and Modified Decomposition Method,**International Journal of Applied Mechanics and Engineering,**V. 9, 361–366 (2009).**S. Das**, A Numerical Solution of the Vibration Equation using Modified Decomposition Method,**Journal of Sound and Vibration**, V. 320, 576-583 (2009).- K.N. Rai, Rajeev and
**S. Das**, Solution of one dimensional moving boundary problem with periodic boundary conditions by Variational Iteration Method,**Thermal Sciences**, V.13, 199-204 (2009). **S. Das**, Analytical Solution of a Fractional Diffusion Equation by Variational Iteration Method,**Computers and Mathematics with Applications**, V. 57, 483-487 (2009).**S. Das**, P. K. Gupta and Rajeev, A Fractional predator-prey Model and its Solution**,****Int. J. of Nonlinear Sciences and Numerical Simulation,**V. 10, 873-876 (2009).**S. Das**, A Note on Fractional Diffusion Equations,**Chaos, Solitons & Fractals,**V. 42, 2074 - 2079 (2009).**S. Das**, P.K. Gupta, V.S. Pandey and K. N. Rai, Application of He’s Homotopy Perturbation Method to fractional Diffusion Equation, Zeitschrift**für Naturforschung A****,**V. 65a, 53-58 (2009).- V. Srivastava, K.N. Rai and
**S. Das**, Analytical approach to micro scale bio-film heat transport using homotopy perturbation method,**Int. J. of Applied Mathematics and Computation**, V.1, 148-158(2009). **S. Das**and P.K. Gupta, An Approximate Analytical Solution of the Fractional Diffusion Equation with Absorbent Term and External Force by Homotopy Perturbation Method,**Zeitschrift für Naturforschung A,**V. 65a,182-190 (2010).- D. Tripathi, S. K. Pandey, and
**S. Das**, Peristaltic Flow of Viscoelastic Fluid with Fractional Maxwell Model through a Channel,**Applied Mathematics and Computation**, V. 215, 3645-3654 (2010). **S. Das**, A Note on Fractional Schrodinger Equation,**Nonlinear Science, Letter A,**V.1, 91-94 (2010).**S. Das**, R. Kumar and P. K. Gupta, Homotopy Analysis Method for Fractional Diffusion Equation with Absorbent Term and External Force,**Journal of Nonlinear Systems and Applications****,****V. 1, 141-145 (2010).****S. Das**and Rajeev, Solution of fractional diffusion equation with a moving boundary condition by Variational Iteration Method and Adomian Decomposition Method,**Zeitschrift für Naturforschung A****,**Vol. 65a, 793-799 (2010).**S. Das**, R. Kumar and P. K. Gupta, An approximate analytical solution of the fractional diffusion equation with external force and different type of absorbent term – Revisited, Special Issue No. 1, 101-109 (2010).- K. Rajeev and
**S. Das**,**A Numerical Study for Inward Solidification of a Liquid Contained in Cylindrical and Spherical Vessel,****Thermal Sciences**, V**.**14, 365-372 (2010). **S. Das**, R. Kumar, P.K. Gupta, Approximate analytical solutions for fractional space- and time- partial differential equations using homotopy analysis method,**Applications and Applied Math.**V. 5, 1641-1659 (2010).**S. Das**, P.K. Gupta and K. Vishal, Approximate approach to the Das Model of Fractional Logistic Population Growth,**Applications and Applied Mathematics**, V. 5, 1702-1708 (2010).**S. Das**, S. Kumar and O.P. Singh, Solutions of Nonlinear Second Order Multi-point Boundary Value Problems by Homotopy Perturbation Method,**Applications and Applied Mathematics**, V, 05, 1592-1600 (2010).**S. Das**, and R. Kumar, An Approximate Analytical Solution of One-Dimensional Phase Change Problems in a Finite Domain,**Applied Mathematics and Computation**, V.217, 6040-6046 (2011).**S. Das****,****Approximate analytical solutions of time-space fractional diffusion equation by Adomian Decomposition Method and Homotopy Perturbation Method,****Communications in Fractional Calculus**, V.2, 29-35 (2011).**S. Das**and P.K. Gupta, Application of Homotopy Perturbation Method and Homotopy Analysis Method to Fractional Vibration Equation**,****Int. J. of Computer Mathematics**, V. 88, 430-441 (2011).**S. Das**and P.K. Gupta, Homotopy Analysis Method for Solving Fractional Hyperbolic Partial Differential Equations,**Int. J. of Computer Mathematics**, V. 88, 578-588 (2011).**D. Tripathi, P.K. Gupta, and****S. Das****, Influence of Slip Condition on Peristaltic Transport of a Viscoelastic Fluid with Fractional Burgers’ model,****Thermal Sciences,**V. 15, 501-515 (2011).- H. Jafari,
**S. Das**and H. Tajadodi, Solving a multi-order fractional differential equation using Homotopy analysis method,**Journal of King Saud University (Science)**, V.23, 151-155 (2011). **S. Das**, R. Kumar, and P.K. Gupta, Analytical approximate solutions of space- and time- fractional diffusion equation with a moving boundary condition,**Zeitschrift für Naturforschung A,**V. 66a, 281–288 (2011).- D. Tripathi, S.K. Pandey and
**S. Das**, Peristaltic transport of a generalized Burgers' fluid: Application to movement of chyme in the small intestine,**Acta Astronautica**, V. 69, 30-38 (2011) **S. Das**, H. Jafari and P.K. Gupta, Approximate analytical solution of the Fractional predator-prey model for n–species by Homotopy Analysis Method,**J. Adv. Res. Sci. Comput.,**V. 3, 15-30 (2011).**S. Das**, R. Kumar and P.K. Gupta, The homotopy analysis method for fractional Cauchy reaction–diffusion problems,**International Journal of Chemical Reactor Engineering**, V. 9, 1542-6580, (2011).**S. Das**and P.K. Gupta, A Mathematical Model on fractional Lotka-Volterra equations,**Journal of Theoretical Biology**, V. 277, 1-6 (2011).**S. Das**, P.K. Gupta and P. Ghosh, An approximate solution of nonlinear fractional reaction-diffusion equation,**Applied Mathematical Modelling,**V.35, 4071-4076 (2011)**S. Das**, K. Vishal and P.K. Gupta, Solution of the nonlinear fractional diffusion equation with absorbent term and external force,**Applied Mathematical Modelling**, V.35, 3970–3979 (2011).**S. Das**, K. Vishal, P.K. Gupta and A. Yildirim, An approximate analytical solution of time-fractional telegraph equation,**Applied Mathematics and Computation**, V.217, 7405-7411 (2011).**S. Das**, K. Vishal, P.K. Gupta, and S. Saha Ray, Homotopy Analysis Method for solving Fractional Diffusion equation,**Int. J. Applied Mathematics and Mechanics, 7**, 28-37 (2011).**S. Das**and R. Kumar, Approximate analytical solutions of fractional gas dynamic equations,**Applied Mathematics and Computation**, V. 217, 9905-9915(2011).**S. Das****, An approximate analytical solution of Schrodinger equation**,**Nonlinear Science, Letter B,**V.1, 129-133 (2011).- N. A. Khan, M. Jamil, A. Ara and
**S. Das**, Explicit Solution for Time-Fractional Batch Reactor System,**Int. J. of Chemical Reactor Engineering**, V.9, A 91(2011). - K. Vishal, S. Kumar and
**S. Das**, Application of Homotopy Analysis Method for Fractional Swift Hohenberg Equation- Revisited,**Applied Mathematical Modelling,**V. 36, 3630-3637 (2011). **S. Das**, An approximate analytical solution of nonlinear fractional diffusion equation,**International Journal of Nonlinear Science**, V.12, 339-346 (2011).- N. A. Khan, M. Jamil, A. Ara and
**S. Das**, Compact on Solutions of Nonlinear Dispersive K(n,n) Equations with Time fractional Derivatives,**World Applied Science Journal**, Accepted (2011). - K. Vishal and
**S. Das**, Solution of the nonlinear fractional diffusion equation with absorbent term and external force using optimal homotopy-analysis method,**Zeitschrift für Naturforschung A**, V.67a, 203-209 (2012). - P. Ghosh, A. Sarkar and
**S. Das**, Analysis of film condensation along a vertical flat plate under sinusoidal G-Jitter,**Microgravity, Science and Technology, Springer,**V.25, 95-102 (2012). - R. Kumar and
**S. Das**, Fractional diffusion equations in the presence of reaction terms,**Communications in Fractional Calculus**, Accepted (2012). - S. Das, Approximate Solution of Fractional Diffusion Equation – Revisited,
**International Review of Chemical Engineering**, V. 4, 501-504 (2012). **S. Das**, K. Vishal and P. K. Gupta, Approximate analytical solution of diffusion equation with fractional time derivative using optimal homotopy analysis method,**Surveys in Mathematics and its Applications**, V.8, 35-49 (2013).**S. Das**and S. P. Ansari, Stability analysis of fractional order water-borne epidemic model,**Communications in Fractional Calculus**, V.4, 25-31 (2013).- P. K. Singh and
**S. Das**, Approximate analytical solutions of the time-fractional coupled Burger equations and KdV equations using homotopy perturbation transform method,**Problems of Nonlinear Analysis In Engineering Systems**, V.19, 58-67 (2013). - K. Vishal,
**S. Das**, S. H. Ong and P. Ghosh, On the Solutions of Fractional Swift Hohenberg Equation with dispersion,**Applied Mathematics and Computation**, V. 219, 5792-5801 (2013). - V. Mishra, K. Vishal,
**S. Das**, and S. H. Ong, On the solution of the nonlinear fractional diffusion-wave equation with Absorbtion: Homotopy approach,**Zeitschrift für Naturforschung,**V**.**69, 135-144 (2014). - V. Mishra and
**S. Das**, Solution of Variable order fractional differential equations using homotopy analysis method,**Journal of Mathematics and Computer Science**, Accepted (2015). - V. Mishra,
**S. Das**, H. Jafari and S. H. Ong, Study of fractional order Van der Pol Equation,**Journal of King Saud University-Science, Elsevier**, V. 28, 55–60 (2016). **S. Das**, P. Kar and V. Mishra, Solution of Nonlinear Fractional diffusion equation using similarity transform and homotopy analysis method,**International Review of Chemical Engineering**, V. 7, 22-28 (2015).**S. Das**, N. K. Tripathi, S. H. Ong, H. Jafari, Solution of higher order nonlinear time-fractional reaction diffusion equation,**Entropy**, V. 18, 329-339 (2016).- S. Jaiswal, M. Chopra, S. H. Ong and
**S. Das**, Numerical solution of one-dimensional finite solute transport system with first type source boundary condition,**International Journal of Applied and Computational Mathematics**, doi:10.1007/s40819-016-0280-6 (2016). - S. Jaiswal, M. Chopra and
**S. Das**, Numerical solution of space fractional order solute transport system,**Journal of Porous Media**, V. 21, 1–16 (2018). - N. K. Tripathi,
**S. Das**, S. H. Ong, H. Jafari and M. Al Qurashi, Solution of time- fractional Cahn-Hilliard equation with reaction term using Homotopy analysis method,**Advances in Mechanical Engineering**, Accepted (2017). - S. Das, Anup Singh and S. H. Ong, Numerical solution of fractional order advection-reaction-diffusion equation,
**Thermal Science**, Accepted (2017). - S. Jaiswal, M. Chopra and
**S. Das**, Numerical Solution of Two-dimensional Solute Transport System using Operational Matrices,**Transport in Porous Media**, Accepted (2017).

**Nonlinear Dynamics :**

- M. Srivastava, S. K. Agrawal and
**S. Das**, Synchronization of chaotic fractional order Lotka-Volterra systems,**Int. J. of Nonlinear Science,**V.13, 482-494 (2012). - S. K. Agrawal, M. Srivastava and
**S. Das**, Synchronization of fractional order chaotic systems using Active control,**Chaos, Solitons & Fractals,**V. 45, 737-752 (2012). - S. K. Agrawal, M. Srivastava and
**S. Das**, Synchronization between fractional order Ravinovich-Fabrikant and Lotka-Volterra system,**Nonlinear Dynamics,**V. 69, 2277-2288 (2012). - S. K. Agrawal, M. Srivastava and
**S. Das**, Hybrid Synchronization between different fractional order Hyperchaotic systems using Active control method,**Journal of Nonlinear System and Application**, V.2013, 70-76 (2013). - M. Srivastava, S. K. Agrawal and
**S. Das**, Adaptive anti-synchronization between different hyperchaotic systems with uncertain parameters,**Differential Equations and Control Processes**, V.4, 92-110 (2012). - S.K. Agrawal and
**S. Das**, A modified adaptive control method for Synchronization of some fractional chaotic systems with unknown parameters,**Nonlinear Dynamics,****Springer,**V.73, 907-919 (2013). **S. Das**, M. Srivastava and A.Y.T. Leung, Hybrid phase synchronization between identical and non-identical three-dimensional chaotic system using active control method,**Nonlinear Dynamics,**V.73, 2261-2272 (2013).- S.K. Agrawal and
**S. Das**, Projective Synchronization between different fractional order hyperchaotic systems with uncertain parameters using Proposed Modified Adaptive Projective Synchronization Technique,**Mathematical Methods in the Applied Sciences, DOI: 10.1002/mma. 2963**(2013). - M. Srivastava, S.K. Agrawal, K. Vishal and
**S. Das**, Adaptive projective synchronization between different chaotic systems with parametric uncertainties and external disturbances,**Pramana - Journal of Physics, Springer**, V.81, 417-437 (2013). - M. Srivastava, S. K. Agrawal and
**S. Das**, Reduced-order anti-synchronization of the projections of the fractional order hyperchaotic and chaotic systems,**Central European Journal of Physics,**11(10), 1504-1513 (2013). - M. Srivastava, S. P. Ansari, S. K. Agrawal,
**S. Das**and A. Y. T. Leung, Anti-synchronization between identical and non-idetical fractional order chaotic systems using Active control method,**Nonlinear Dynamics,**76, 905-914 (2014). - M. Srivastava, S.K. Agrawal, K. Vishal and
**S. Das**, Chaos control of Fractional order Ravinovich-Fabrikant System and Synchronization between chaotic and chaos controlled Fractional order Ravinovich-Fabrikant system,**Applied Mathematical Modelling**, 38 (13), 3361-3372 (2014). - S. P. Ansari and
**S. Das**, Projective Synchronization of time-delayed chaotic systems with unknown parameters using Adaptive Control Method,**Mathematical Methods in the Applied Sciences**, V. 38, 726-737 (2015). - S. K. Agrawal and
**S. Das**, Function Projective Synchronization between four dimensional Chaotic Systems with Uncertain Parameters Using Modified Adaptive Control Method,**Journal of Process Control,**V.24, 517-530 (2014). - S. P. Ansari and
**S. Das**, Phase Synchronization between fractional order chaotic systems with uncertainties and external disturbances,**Proc. American Institute of Phys**., Accepted (2015). - K. Vishal, S. K. Agrawal and
**S. Das**, Hyperchaos control and adaptive synchronization with uncertain parameters for fractional order Mathieu-Van der Pol systems,**Pramana - Journal of Physics, Springer,**V**.**86, 59-75 (2015). - S. P. Ansari, S. K. Agrawal and
**S. Das**, Stability Analysis of fractional order Generalized Chaotic SIR epidemic model and Its Synchronization using Active Control Method,**Pramana - Journal of Physics, Springer,**V**.**84, 23-32 (2015). - V. K. Yadav, S. K. Agrawal, M. Srivastava and
**S. Das**, Phase and anti-phase synchronizations of fractional order hyper-chaotic systems with uncertainties and external disturbances using nonlinear Active control method,**International Journal of Dynamics and Control,**1-10, 11 June (2015). -
**S. Das**and V. K. Yadav, Chaos control and function projective synchronization of fractional order systems through backstepping method,**Theoretical and Mathematical Physics**, V. 189 (2016) 1430-1439. - A. K. Singh, V. K. Yadav and
**S. Das**, Synchronization between fractional order complex chaotic systems,**International Journal of Dynamics and Control,**1-15, 29 January (2016). - V. K. Yadav and
**S. Das**, Stability analysis, Chaos control of Fractional order Vallis and El Nino systems and its Synchronization,**IEEE Journal of Automatica Sinica**, V.4 (2017) 114-124. - A. K. Singh, V. K. Yadav and
**S. Das**, Comparative study of synchronization methods of fractional order chaotic systems,**Nonlinear Engineering – Modeling and Application**, V.5 (2016) 185-192. - V. K. Yadav, N. Srikanth and
**S. Das**, Dual function Projective synchronization of fractional order complex chaotic systems,**Optik - International Journal for Light and Electron Optics**, 127 (2016) 10527-10538. - A. K. Singh, V. K. Yadav and
**S. Das**, Dual combination synchronization of the fractional order complex chaotic systems,**ASME Journal of Computational and Nonlinear Dynamics,**V. 12 (2016) 0110171-8. - V. K. Yadav,
**S. Das**and D. Cafagna, Nonlinear synchronization of fractional-order Lu and Qi chaotic systems,**IEEE Int. Conf. on Electronics, Circuits and Systems (ICECS),****IEEE****Publication**, 596 – 599 (2016). doi:: 10.1109/ICECS.2016.7841272. - A. K. Singh, V. K. Yadav and
**S. Das**, Synchronization between fractional order complex chaotic systems with uncertainty,**Optik - International Journal for Light and Electron Optics**, V. 133 (2017) 98-107. - V. K. Yadav, G. Prasad, T. Som and
**S. Das**, Combined synchronization of time-delayed chaotic systems with uncertain parameters,**Chinese Journal of Physics**, Accepted (2017). - V. K. Yadav,
**S. Das**, A. K. Singh, B. S. Bhadauria and M. Srivastava, Stability analysis, chaos control of fractional order chaotic chemical reactor system and its function projective synchronization with parametric uncertainty,**Chinese Journal of Physics**, Accepted (2017). - A. K. Singh, Vijay K. Yadav and
**S. Das**, Synchronization of time-delay chaotic systems with uncertainties and external disturbances,**Discontinuity, Nonlinearity and Complexity**, Accepted (2017). - A. K. Singh, Vijay K. Yadav and
**S. Das**, Nonlinear control technique for dual combination synchronization of complex chaotic systems,**Journal of Applied Nonlinear Dynamics**, Accepted (2017). - Vijay K. Yadav, Vijay K. Shukla,
**S. Das**, A.Y.T. Leung and M. Srivastava, Function projective synchronization of fractional order satellite system and its stability analysis for incommensurate case,**Chinese Journal of Physics**, Accepted (2018). - Vijay K. Yadav, G. Prasad, M. Srivastava,
**S. Das,**Combination-Combination phase synchronization among non-identical fractional order complex chaotic systems via nonlinear control,**International Journal of Dynamics and Control**(2018). - Vijay K. Yadav and S. Das, Combination synchronization of fractional order n-chaotic systems using active backstepping design, Nonlinear Engineering – Modeling and Application (NLENG), Accepted (2018).

**Book Chapters**

141. Homotopy Analysis Method for fractional Swift-Hohenberg equation, Advances in the Homotopy Analysis Method, Editor - S. J. Liao, **World Scientific Publisher, 2014**.

142. Backstepping control for combined function projective synchronization among fractional order chaotic systems with uncertainties and external disturbances, Nonlinear dynamical Systems with self-excited and hidden attractors, **Springer Publisher (2017)**.

143. Dual combination synchronization scheme for non-identical different dimensional fractional order systems using scaling matrices, Linear and Nonlinear Fractional Order Systems, **Elsevier Publisher (2018)**.

- Executed a Project entitled “Study of Interaction Between Griffith Cracks in Isotropic/Anisotropic Composite Media”, under the
**Department of Science & Technology, Govt. of West-Bengal, India**. - Executed a Project entitled “Study of Interaction between cracks in Orthotropic Composite Media”, under the
**Department of Science & Technology, Govt. of West-Bengal, India**. - Acting as
**Deputy Coordinator in the Special Assistance Program (SAP), UGC**of the Department of Applied Mathematics, IT, BHU. **A MoU has been signed with TCS, India**by virtue of which one of my research scholars Ms. Sana P. Ansari received scholarship of Rs. 23,000/- per month for a period of two years (Jan 2014 – December 2015).- One of the Team members of the research project sub programme sponsored by
**University of Malaya research programme**. Title of the proposed programme: Stochastic dynamics, processes and models for dispersion. Programme leader: Prof. S. H. Ong. Research grant: RM 179,900 per year for duration three years. - The project entitled “Study of Some Engineering problems in Fractional order Dynamical Systems” has been sanctioned under
**Institute Research Project**(for individual faculty) for a period of one year (2015 – 2016) under , Research grant: Rs. 4,02,500/-. - The ongoing project entitled “Fractional calculus approached solutions for two dimensional ground water contaminations in unsaturated media” has been approved by
**Board of Nuclear Science (BRNS), BARC, Govt. of India**for a period of three years (2014 – 2017), Research grant: Rs. 22,95,750/-. - The ongoing project entitled “Study and Analysis of Mathematical Models of Nonlinear Fractional order Diffusion Equations” has been approved by
**SERB, Department of Science & Technology, Govt. of India**for a period of three years (2015 – 2018), Research grant: Rs. 16,92,000/-.

**Ph.D. Thesis Supervision (Awarded: 17, Submitted: 02, Ongoing: 08)**

**Awarded:**

**1. Dr. Subir Mukherjee** (Supervisor: S. Das), **Topic: **Some Crack Problems in orthotropic Media,** Year:** December, 2008 (in Jadavpur Univ., W.B.)

2.** Dr. Sunil Kumar** (Co-supervisor: S. Das), **Topic: **Numerical Solutions Of Generalized Abel Integral Equation And Some Nonlinear Partial Differential Equations by Homotopy and Operational Matrix Methods, **Year:** July, 2011.

3**.** **Dr.** **Kumar Vishal** (Supervisor: S. Das), **Topic: **Study of Some Crack Problems Fractional Calculus, **Year:** March, 2013.

4**.** **Dr. R. Prasad** (Co-supervisor: S. Das), **Topic: **Some Studies on generalized Thermo-elasticity and Crack Problems, **Year:** April, 2013.

**5. Dr. Rajnesh Kumar **(Supervisor: S. Das), **Topic: **Fractional Calculus and its Applications in Engineering Problems, **Year:** August 2, 2013.

6. **Dr. Saurabh Kumar Agrawal** (Supervisor: S. Das), **Topic: **Application of Fractional Calculus on Chaos and Synchronization, **Year: **2014.

7. **Dr. Mayank Srivastava** (Supervisor: S. Das), **Topic: **Some problems in Chaos and its synchronization, ** Year: **2014.

8.** Dr. Piush Kr. Singh **(Co-supervisor: S. Das), **Topic:** Approximate Solutions of Some Physical Problems in Fractional order Systems and Abel's Integral Equation, **Enrollment No.** : 329061.

9. **Dr.** **Sana P. Ansari **(Supervisor: S. Das), **Topic: **Study of Chaos and Synchronization in Dynamical Systems, **Enrollment No.** : 340871.

10. **Dr. Vivek Mishra** (Supervisor: S. Das), **Topic: **Applications of fractional order derivatives in nonlinear systems,** Roll No.** : 12612EN011.

11. **Dr. Prasant K. Mishra** (Supervisor: S. Das), **Topic: **Some problems of Fracture Mechanics**, Roll No.** : 13121002

12. **Dr. Vijay Kr. Yadav** (Supervisor: S. Das), **Topic: **Study of some problems of Chaos and synchronization in Dynamical systems,** Roll No.** : 13121001

13. **Dr. Ajit K. Singh** (Supervisor: S. Das), Topic: Study of synchronization in chaotic systems, Roll No. : 13121011.

14. **Dr. Ghanashyam Prasad** (Co-supervisor: S. Das), **Topic:** Study of some problems of Dynamical systems and Fractional calculus, **Roll** **No**.: 11612EN002.

15. **Dr. Shubham Jaiswal** (Supervisor: S. Das), **Topic:** Study of some transport phenomena problems in porous media, **Roll No**. : 13121007

16. **Dr. Neeraj K. Tripathi** (Supervisor: S. Das), **Topic:** Study of nonlinear problems in fractional order system, **Roll No. **: 13121012

17. **Mr. Gopal Kumar Gupta **(Co-supervisor: S. Das), **Topic:** State dependent arrival in bulk service queue with and without vacation, **Roll No**. : 13121006; **e-mail :** gopal.rs.apm13@itbhu.ac.in

**Submitted/Completed:**

18. **Ms. Pragya Singh** (Supervisor: S. Das), **Topic:** Study of some problems of fracture mechanics, **Roll No**. : 13121013; **e-mail :** pragya.rs.apm13@itbhu.ac.in

19. **Mr. Vijay K. Shukla** (Supervisor: S. Das), **Topic:** Some problems on synchronization of chaotic systems, **Roll No**. : 13121004; **e-mail : **vshukla1100@gmail.com

**Ongoing:**

20. **Mr. Anup Singh** (Supervisor: S. Das), **Topic: **Nonlinear fractional order diffusion equations, Joined as a Project Scholar, **Roll No. **: 16121004; **e-mail :** anups.rs.mat16@itbhu.ac.in

21. **Ms. Anuwedita Singh** (Supervisor: S. Das), **Topic: **Study of some problems of fracture mechanics, **Roll No. :** 16121005; **e-mail :** anuweditas.rs.mat16@iitbhu.ac.in

22. **Mr. Rakesh Kumar** (Supervisor: S. Das), **Topic:** Dynamical system, **Roll No.** : 16121006; **e-mail :** rakeshk.rs.mat16@iitbhu.ac.in

23. **Mr. Sachin Kumar** (Supervisor: S. Das), **Topic:** Diffusion equation, **Roll No. **: 17121021; **e-mail :** sachinkr.rs.mat17@itbhu.ac.in

24. **Mr. Kushal Dhar Dwivedi** (Co-supervisor: S. Das), **Topic:** Porous Media, **Roll No.** : 16121504; **e-mail :** kushaldd.rs.mat16@itbhu.ac.in

25. **Mr. Prashant Pandey** (Supervisor: S. Das), **Topic:** Porous Media, **Roll No.** : 17121012; **e-mail :** prashantpandey.rs.mat17@itbhu.ac.in

** Supervised at the level of Post-doctoral (Ongoing-01)**

1. **Dr. Vijay Kr. Yadav** joined on October 26, 2016 in the Department of Mathematical Sciences, IIT(BHU) as Post Doctoral Fellow (PDF) under my supervision in the Institute Sponsored Project “Fractional order dynamical system”; **e-mail **: vijayky999@gmail.com

** M.Tech. Thesis Supervision (Awarded: 21)**

**1. Mr. Bharat Dhaker** (Supervisor: S. Das), **Topic: **Modeling of Fractional Logistic Equation and Good Random Number Generators, **Year:** May, 2010.

2. **Mr. Vineet Sharma **(Supervisor: S. Das), **Topic: **Effect of Order of Derivative on Chaos Synchronization of Fractional Order Differential Equations, **Year:** May, 2011.

3. **Mr. Anuj Kaushik** (Supervisor: S. Das), **Topic: **Effect of Order of Derivative on Chaos Synchronization of Fractional Order Differential Equations, **Year:** May, 2011.

4.** Mr. Gaurav Goel** (Supervisor: S. Das),**Topic: **Applications of Finite Automata and Turing Machine Simulation using C++ Prog, **Year:** May, 2012.

5. **Mr. Arpit Srivastava** (Supervisor: S. Das), **Topic: **Modeling Populations and Studding Their Mathematical Behavior through Simulations, **Year:** May, 2012.

6. **Mr. Manoj Kumar** (Joint Supervisors: S. Das and Om P. Singh), **Topic: **Study of Some Problems of Econophysics, **Year:** May, 2012.

7. **Mr. Raj Barethia**, (Supervisor: S. Das), **Topic: **Analysis of Image Encryption scheme using Fractal Images as keys,** Year:** May, 2013.

8. **Mr. Ashish Sharma** (Joint Supervisors: S. Das and V. S. Pandey), **Topic: **Study of SIR models and vaccination strategies**, Year:** May, 2013.

9. **Mr. Aniket Pathak** (Supervisor: S. Das), Prediction of Stock Movement using Linear Statistical Learning, **Year:** May, 2014.

10. **Ms.** **Samridhi Khurana **(Supervisor: S. Das), **Topic:** Dynamics of Synchronization and Modularity in Complex Networks, **Year:** May, 2014.

11.** Ms. Lipi Kundan** (Supervisor: S. Das), **Topic: **Study of Nonlinear diffusion equation in Porous medium, **Year:** May, 2015.

12. **Ms. Asha Jyoti** (Supervisor: S. Das), **Topic: **Study of the applications of finite Automata and Turing machine simulation, **Year:** May, 2015.

13. **Mr. Agam Tomar** (Co-supervisor: S. Das), **Topic: **Analysis and physical parameter identification of structural systems,** Year:** May, 2016.

14. **Mr. Nripesh Trivedi** (Supervisor: S. Das), **Topic: **Keep the Conversations going: Engagement based customer segmentation on Online social service platforms, **Year:** May, 2016.

15. **Mr. Ankit Jain** (Supervisor: S. Das), **Topic: **Applications of finite Automata and Turing machine simulation using C++ programming, **Year:** May, 2016.

16. **Mr. Saurabh Rajiv Shah** **Year **(Supervisor: S. Das), Solutions of the Cahn-Hilliard problem, **Year: **June, 2017.

17. **Mr. Shashi Kumar **(Supervisor: S. Das), Applications of finite automata and turing machine simulation using C++ programming, **Year:** June, 2017.

18. **Mr. Dheerendra Singh** (Supervisor: S. Das), Synchronization of complex valued neural networks with time delay using LMIs approach, **Year:** May, 2018.

19. **Mr. Shivam Tyagi** (Supervisor: S. Das), Projective synchronization of identical chaotic neural networks with mixed time delays, **Year:** May, 2018.

20. **Ms. Shreemoyee Sarkar **(Supervisor: S. Das), An application of chaos theory in financial markets - detection of market crashes, **Year:** June, 2019.

21. **Mr. Vikhyat Chadha** (Supervisor: S. Das), Optimal Pairs trading strategy using chaos theory, **Year:** June, 2019.

- Presented a paper entitled ‘Stress Intensity Factors for a pair of equal parallel Interfacial Cracks on a layer sandwiched between two dissimilar Half-planes’ in the 10
^{th}Bangladesh Mathematical Conference organized by Bangladesh Mathematical Society in**University of Dhaka in 1995.** - Selected as a participant in attending the Summer School course on “Non –linear Hyperbolic Equations’ conducted by CIMPA (France) was held in
**Beijing (China) from September 9-26, 1998**. - Selected as a participant in attending the 31
^{st}Symposium on Mathematical Physics, institute of Physics, Nicholas Copernicus University,**May 18-21, 1999, Torun, Poland**. - Selected as a participant in attending the Quantum Symposium in Thermal Physics and Mathematics (School) CIMPA – UNSA – UNESCO - ARGENTINA San Carlos de
**Bariloche (Argentina), January 10-24, 2000**. - Participated in the CIMPA School course on “Mathematical Problems arising from thin Structures” held in Sanghai
**(CHINA), August 20-31, 2001**. - Selected as a participant in the International conference on Smart technology demonstrators and devices in
**Edinburgh (U.K.), December 12-14, 2001**. - Selected as a participant in the Satellite conference of ICM, 2002 Beijing on Scientific computing (SCSC) held in
**Xian, CHINA, during August 15-18, 2002**. - Delivered a lecture in the Laboratory of the Faculty of Engineering in Shizuoka University,
**JAPAN, during December 5 - 7, 2004**. - Participated in the CIMPA School course on “Kinetic Equations: from Theory to Applications” held in
**Taipei (Taiwan), during December 8 – 20, 2004**. - Participated in the NSF – CBMS Conference on
*“New Perspectives for Boundary Value Problems and their Asymptotic”*held in**University of Texas, USA during May 16-20, 2005**. - Had been an Academic Visitor to the Department of Mechanical Engineering at
**National University of Singapore (NUS) from June 03-June 10, 2007**. - Presented a paper titled “Interaction of moving Interfacial cracks in composite media under antiplane shear” at ICIAM’07 held at
**ETH, Zurich, Switzerland during July 16 – July 20, 2007**. - Had been an Academic Visitor to the Department of Applied Mathematics at
**ICTP, Trieste, Italy from July 21-July 29, 2007**. - Had been an Academic Visitor to the Department of Mechanical Engineering at
**National University of Singapore (NUS) from June 13-June 25, 2008**. - Presented a paper titled “Solution of time-space fractional diffusion equation with Absorbant term” at
**ICCSA 2009**held at**University of Le Havre, Le Havre, Normandy, France****during June 29 – July 02, 2009**. - Had been an Academic Visitor to the Department of Mechanical Engineering at
**National University of Singapore (NUS) from June 16 - June 30, 2010**. - Had been an Academic Visitor to the Department of Mechanical Engineering at
**Hong Kong Polytechnique University from February 12 - February 19, 2011**. - Had been an Academic Visitor of the Institute of Mathematical Sciences,
**University of Malaya, Malaysia**from June 15- July 14, 2011. - Had been an Academic Visitor of the Department of Civil and Construction Engineering at
**City University, Hong Kong**during February 29 - March 10, 2012. - Had been an Academic Visitor of the Institute of Mathematical Sciences,
**University of Malaya, Malaysia**from June 15- July 14, 2012. - Had been an Academic Visitor of the Department Mechanical Engineering,
**Tokyo University of science, Tokyo, Japan**during June 8-17, 2013. - Had been an Academic Visitor of the Department of Civil and Construction Engineering at City
**University, Hong Kong**during June 17-23, 2013. - Had been an Academic Visitor of the Institute of Mathematical Sciences,
**University of Malaya, Malaysia**from July 3-16, 2013. - Had been an Academic Visitor to the Department of Mechanical Engineering at
**National University of Singapore (NUS) from April 3 – April 10, 2014**. - Had been an Academic Visitor of the Institute of Mathematical Sciences,
**University of Malaya, Malaysia**from June 17-30, 2014. - Presented a paper titled “Phase Synchronization between fractional order chaotic systems with uncertainties and external disturbances” at
**International Conference of Numerical Analysis and Applied Mathematics****(ICNAAM 2014)**held at**Rhodes, Greece**during**Sept 22 – 28, 2014**. - Presented a paper titled “Chaos control and function projective Synchronization of fractional order systems through backstepping method” at
**International Conference of Physics and Mathematics of Nonlinear Phenomena****(PMNP 2015)**held at**Gallipoli, Italy**during**June 20 – 27, 2015**. - Had been an Academic Visitor of the Institute of Mathematical Sciences,
**University of Malaya, Malaysia**during**July 12-22, 2015**. - Delivered one day workshop on “Fractional order nonlinear equations and their solutions” to the faculty members and research scholars during the stay as an Academic Visitor in Institute of Mathematical Sciences,
**University of Malaya, Malaysia**from**October 02- 09, 2017**. - Had been an Academic Visitor of the Institute of Mathematical Sciences,
**Nanyang Technological University (NTU), Singapore**during**December 06-12, 2017**. - Had been an Academic Visitor of the Department of Mathematical Sciences,
**University of South Africa, Johannesburg, South Africa**during**March 14-20, 2018**and delivered a talk titled “Fractional order nonlinear diffusion equations”. - Presented a paper titled “Semi-infinite crack in an orthotropic strip sandwiched between two identical half planes” at
**28**^{th}**International Workshop on Computational Mechanics of Materials (IWCMM 28)**held at**Glasgow, Scotland**and went for an Academic interaction in**London, England**during**Sept 10 – 16, 2018**”. - Had been an Academic Visitor of the Institute of Mathematical Sciences,
**University of Malaya, Malaysia**during**December 16-23, 2018**.

- Received 2011 IT-BHU Publication Award under 1
^{st}Prize category for the faculty presented by IT-BHU Global Alumni Association. - Received 2012 IT-BHU Publication Award under 1
^{st}Prize category for the faculty presented by IT-BHU Global Alumni Association. - Received 2013 IIT (BHU) Publication Award under 1
^{st}Prize category for the faculty presented by IIT (BHU) Global Alumni Association. - Received 2014 IIT (BHU) Publication Award under Star Prize category for the faculty presented by IIT (BHU) Global Alumni Association.
- Received
**“Excellence in Teaching Award”**for the session 2016-17 from Indian Institute of Technology (BHU), Varanasi-221005.