DEPARTMENT OF MATHEMATICS |

Assistant Professor
Department of Mathematics
IIT Madras
Chennai - 600 036
Email : sdubey@iitm.ac.in
Phone: 0091 - 44 - 22574600 |

**Area of
Research:
**

1.
Nonlinear Analysis of Functional
Differential Equations

2.
Mathematical Study of Ferromagnetic
Systems

**Publications:
**

**Published:
**

1.
**Sharad Dwivedi and Shruti Dubey**,
On Dynamics of Current-Induced Static Wall Profiles in Ferromagnetic Nanowires Governed by the Rashba Field, International Journal of Applied and Computational Mathematics, Vol. 3,No.1 (2017) pp 27-42.

2.
**Madhukant Sharma and Shruti Dubey**,
Analysis of Fractional Functional Differential Equations of Neuitral type with Nonlocal conditions, Differential Equations and Dynamical Systems (2016) DOI: 10.1007/s12591-016-0290-1

3.
**Madhukant Sharma and Shruti Dubey**,
Controllability of Sobolev type Nonlinear Nonlocal Fractional Functional Integro-differential Equations, Progress in Fractional Differentiation and Applications, Vol.1 No 4(2015) pp. 281-293.

4.
**Shruti Dubey, Madhukant Sharma**,
Solutions to Fractional Functional Differential Equations with Nonlocal Conditions, Fract. Calc. Appl. Anal.,Vol. 17, No 3(2014), pp. 654-673; DOI: 10.2478/s13540-014-0191-3. Impact Factor : 2.974

5.
**Madhukant Sharma and Shruti Dubey**,
Asymptotic Behavior of Solutions to Nonlinear Nonlocal Fractional Functional Differential Equations, J. Nonl. Evol. Equ. Appl., Vol. 2015, No.2(2015), pp 21-30.

6.
**Madhukant Sharma and Shruti Dubey**,
Controllability of Nonlinear Fractional Functional Differential Equations with Nonlocal Conditions, Int. J. of Dynamical Systems and Differential Equations, Vol. 5 No 4(2015), pp 302-321.

7.
**Shruti Agarwal, Gilles Carbou, Stephane Labbe** and **Christophe Prieur**, Control of a network of magnetic ellipsoidal
samples, Mathematical Control and Related Field, AIMS, 1(2011), no. 2,
pp.129-147.

8.
**Shruti A. Dubey**,
The method of lines applied to nonlinear nonlocal functional differential
equations, Journal of Mathematical Analysis and Application, 376(2011), issue
1, pp.275-281.

9.
**Shruti A. Dubey**,
Numerical solution for nonlocal sobolev-type differential equations, Electronic
Journal of Differential Equations, Conf. 19 (2010), pp.75-83.

10.
**Shruti A. Dubey** and **D.Bahuguna**, Eistence and
regularity of solutions to nonlocal retarded differential equations, Applied
Mathematics and Computation, 215(2009), pp. 2413-2424.

11.
**D. Bahuguna** and **S. Agarwal**, Approximations of
solutions to neutral functional differential equations with nonlocal history
conditions, Journal of Mathematical Analysis and Application 317(2006), no. 2,
583-602.

12.
**S. Agarwal and D.Bahuguna**, Existence of solutions to sobolev type partial neutral
differential equations, Journal of Appled Mathematics and Stochastic Analysis
(2006), 10pp, DOI10.1155/JAMSA/2006/16308.

13.
**S. Agarwal and D.Bahuguna, **Exact and approximate solutions of delay differential
equations with nonlocal history conditions, Journal of Applied Mathematics and
Stochastic Analysis 2005(2005), no.2, 181-194.

14. **S. Agarwal and D.Bahuguna, **Existence and uniqueness of strong solutions to nonlinear
nonlocal functional differential equations, Electronic Journal of Differential
Equations (2004), no. 52, 9pp.

15.
**S. Agarwal and D.Bahuguna, **Method of semidiscretization in time to nonlinear retarded
differential equations with nonlocal history conditions, International Journal
of Mathematics and Mathematical Sciences 2004 (2004), no. 37, 1943-1956.

**Book Chapter:
**

1.
**S. Agarwal and D.Bahuguna, **Semidiscretization pf nonlinear
retarded differential equations, Differential Equations and Dynamical Systems.
Editor: Dr. D. Bahuguna. ISBN: 81-7319-588-9. Narosa Publishing House, India,
2004, pp. 107-117.**
**

**Conference papers published in proceedings:
**

1.
**Sharad Dwivedi and Shruti Dubey**,
Field Driven Motion of Ferrofluids in Ferromagnetic Nanowire under the influence of Inertial Effects Procedia Engineering, Volume 127, Pages 1-1378 (2015) INTERNATIONAL CONFERENCE ON COMPUTATIONAL HEAT AND MASS TRANSFER (ICCHMT) – 2015.

2.
**Sharad Dwivedi and Shruti Dubey**,
On Stability of Steady-States for a Two-Dimensional Network Model of Ferromagnetic Nanowires, Analysis, Modelling, Optimization and Numerical Techniques Series: Springer Proceedings in Mathematics & Statistics, International Conference on Recent Trends in Mathematical Analysis and Its Applications (ICRTMAA), Dec. 21-23, 2014.

3.
**Shruti Dubey**,
Control and Stability of One Dimensional Ferromagnetic System, International Conference on Advances in Modeling, Optimization and Computing (AMOC – 2011), IIT Roorkee, Dec. 5-7 2011.

4.
**Shruti Agarwal, D. Bahuguna**,
A study of a class of nonlocal delay differential equations, National Conference on Mathematical Modeling and Analysis, Birla Institute of Technology and Sciences, Pilani, October 8-9, 2004.

**Invited Talks:
**

1.
Controllability of fractional order differential equations with nonlocal initial condition, International conference on Recent advances in theoretical & computational partial differential equations and applications, Panjab University, Chandigarh, December 5-9, 2016.

2.
Control of 2D ferromagnetic system governed by Landau-Lifschitz equation, International Conference on PDEs: Theory and Computation, South Asian university, New Delhi, December 28-30, 2015.

3.
A study of controlability of ferromagnetic material, National Conference on Evolution Equations: Theory, Methods & Applications (NCEETMA – 2012), IIT Kanpur, December 7 – 8, 2012.

**Guidance:
**

**Ph.d :
**

**1. **
**Madhukant Sharma
**

**2. **
**Sharad Dirvedi
**

**
**