Dr. Rajesh Dhayal

Assistant Professor

Specialization

Applied Mathematics

Email

rajesh.dhayal@thapar.edu

Specialization

Applied Mathematics

Email

rajesh.dhayal@thapar.edu

Contact No.

+91-8628059410

rajesh.dhayal@thapar.edu

Biography

Dr. Rajesh Dhayal is working as an Assistant Professor in the Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala. He joined the Department of Mathematics in July 2021. He received his Master’s degree in Mathematics (M.Sc.) from the Department of Mathematics, Central University of Rajasthan in 2014 and Doctor of Philosophy (Ph.D.) in Applied Mathematics from the School of Basic Sciences, Indian Institute of Technology Mandi (IIT Mandi) in December 2020. His research interests include Fractional, Stochastic, and Impulsive Systems with Non-instantaneous Impulses. Stability, and Controllability of Abstract Differential Equations.

Education

  • Ph.D. from IIT Mandi in Differential Equations & Control Theory.
  • M.Sc. (Mathematics) from Central University of Rajasthan in 2014.
  • B.Sc. from University of Rajasthan, Jaipur in 2012.

Experience: Total Teaching Experience 4+ year

  • Assistant Professor: Thapar Institute of Engineering and Technology, Patiala from July 2021 to present.
  • Assistant Professor: SVKM’S-NMIMS (Deemed-to-be-University), Indore from August 2020 to June 2021.

Teaching Interests:

  • Engineering Mathematics - I & II
  • Optimization Techniques
  • Differential Equations
  • Linear Algebra

Research Interest:

  • Hybrid Dynamic Equations on Time Scales, Singular Dynamic Equations
  • Finite-Time Stability, Finite-Time Stabilization, Control Problems
  • Fractional, Delay, Impulsive and Stochastic Differential Equations

Publications:

Journals

  1. R. Dhayal, and M. Malik, Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses. Chaos, Solitons & Fractals, 151(2021), Art. No. 111292. (I.F.-5.3)
  2. R. Dhayal, and Q. Zhu., Stability and controllability results of ψ-Hilfer fractional integrodifferential systems under the influence of impulses. Chaos, Solitons & Fractals, 168(2023), Art. No. 113105. (I.F.-5.3)
  3. R. Dhayal, J.F. Gómez-Aguilar and J. Torres-Jimenez, Stability analysis of Atangana-Baleanu fractional stochastic differential systems with impulses. International Journal of Systems Science, 53(2022), No. 16, 3481-3495. (I.F-4.9)
  4. R. Dhayal, and M. Malik, Stability analysis of damped fractional stochastic differential systems with Poisson jumps: An successive approximation approach. International Journal of Systems Science, (2024), DOI:10.1080/00207721.2024.2389326. (I.F-4.9)
  5. R. Dhayal, M. Malik and S. Abbas, Approximate and trajectory controllability of fractional stochastic differential equation with non-instantaneous impulses and Poisson jumps. Asian Journal of Control, 23(2021), No. 6, 2669-2680. (I.F-2.7)
  6. R. Dhayal, M. Malik and Q. Zhu, Optimal controls of impulsive fractional stochastic differential systems driven by Rosenblatt process with state-dependent delay. Asian Journal of Control, 26(2024), 162-174 (I.F-2.7)
  7. R. Dhayal, M. Malik, S. Abbas and A. Debbouche, Optimal controls for second-order stochastic differential equations driven by mixed-fractional Brownian motion with impulses. Mathematical Methods in the Applied Sciences, 43(2020), No. 7, 4107-4124. (I.F-2.1)
  8. R. Dhayal, J.F. Gómez-Aguilar and G. Fernandez-Anaya, Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses. Optimal Control Applications and Methods, 43(2022), No. 2, 386-401. (I.F-2.0)
  9. M. Malik, R. Dhayal, S. Abbas and A. Kumar, Controllability of non-autonomous nonlinear differential system with non-instantaneous impulses, Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 113(2019), No. 1, 103-118. (I.F-1.8)
  10. R. Dhayal, M. Malik and S. Abbas, Solvability and optimal controls of non-instantaneous impulsive stochastic neutral integro-differential equation driven by fractional Brownian motion. Aims Mathematics, 4(2019), No. 3, 663-683. (I.F-1.8)
  11. R. Dhayal, M. Malik and S. Abbas, Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses. International Journal of Control, 95,(2022), No. 7, 1719-1730. (I.F-1.6)
  12. N. Hakkar, R. Dhayal, A Debbouche, and D.F.M Torres, Approximate controllability of delayed fractional stochastic differential systems with mixed noise and impulsive effects, Fractal and Fractional, 7(2023), No. 2, Art No. 104. (I.F-3.6)
  13. S. Guechi, R. Dhayal, A. Debbouche and M. Malik, Analysis and optimal control of ϕ-Hilfer fractional semilinear equations involving nonlocal impulsive conditions, Symmetry, 13(2021), No. 11, Art No. 2084. (I.F-2.2)
  14. R. Dhayal and M. Malik, Existence and controllability of impulsive fractional stochastic differential equations driven by Rosenblatt process with Poisson jumps, Journal of Engineering Mathematics, 130(2021), Art No. 11. (I.F.-1.4)
  15. R. Dhayal, Y. Zhao, Q. Zhu, Z. Wang, and M. Karimi, Approximate controllability of Atangana-Baleanu fractional stochastic differential systems with non-Gaussian process and impulses, Discrete and Continuous Dynamical Systems Series S, Doi: 10.3934/dcdss.2024043. (I.F-1.3)
  16. R. Dhayal, M. Malik, S. Abbas, A. Kumar and R. Sakthivel, Approximation theorems for controllability problem governed by fractional differential equation, Evolution Equations and Control Theory, 10(2021), No. 2, 411-429. (I.F-1.3)
  17. R. Dhayal, M. Malik and S. Abbas, Solvability and optimal controls of non-instantaneous impulsive stochastic fractional differential equation of order q ∈ (1, 2), Stochastics: An International Journal Of Probability and Stochastic Processes, 93(2021), No. 5, 780- 802. (I.F-0.8)
  18. R. Kasinathan, R. Kasinathan, V. Sandrasekarana, and R. Dhayal, Solvability and optimal control for second-order stochastic differential systems under the influence of delay and impulses, Stochastics: An International Journal Of Probability and Stochastic Processes, (2024), DOI:10.1080/17442508.2024.2352072. (I.F-0.8)
  19. M. Malik, S. Ruhil, and R. Dhayal An investigation of an inverse problem for second-order abstract differential equation. Indian Journal of Pure and Applied Mathematics, (2023), DOI:10.1007/s13226-023-00498-9. (I.F-0.4)
  20. R. Dhayal, J.F. Gómez-Aguilar and E. Pérez-Careta, Stability and controllability of ψ- Caputo fractional stochastic differential systems driven by Rosenblatt process with impulses, International Journal of Dynamics and Control, (2023), (I.F-2.2).
  21. R. Dhayal, M. Malik and S. Abbas, Approximate controllability for a class of non-instantaneous impulsive stochastic fractional differential equation driven by fractional Brownian motion, Differential Equations and Dynamical Systems, 29(2021), 175-191. (I.F-0.8)
  22. R. Dhayal, M. Malik and S. Abbas, Approximate and trajectory controllability of fractional neutral differential equation, Advances in Operator Theory, 4(2019), No. 4, 802-820. (I.F-0.8)
  23. R. Dhayal, and M. Nadeem, Existence results of a nonlocal impulsive fractional stochastic differential systems with Atangana-Baleanu derivative, The Journal of Analysis, (2024), DOI:10.1007/s41478-024-00793-6. (I.F-0.7)
  24. R. Dhayal, and Q. Zhu, The averaging principle of Atangana-Baleanu fractional stochastic integro-differential systems with delay, The Journal of Analysis, (2024), https://doi.org/10.1007/s41478-024-00823-3. (I.F-0.7)
  25. R. Dhayal, M. Malik and K.S Nisar, Results on non-instantaneous impulsive Caputo fractional differential systems: stability and controllability, Differential Equations & Applications, 16(2024), No. 2, 113-134. (I.F-0.7)
  26. M. Malik, R. Dhayal and S. Abbas, Exact controllability of a retarded fractional differential equation with non-instantaneous impulses, Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, 26(2019), No. 1, 53-69.

International Conferences

  1. Presented a paper in the 3rd European Computing Conference (ECC), Ierapetra Beach, Crete Island, Greece, May 7-9, 2024.
  2. Presented a paper in the International Congress of Mathematicians-2018 (ICM-2018) held at Rio de Janeiro, Brazil during August 01-09, 2018
  3. Presented a paper in the International Conference on Computational Mathematics and its Applications (CMA-2019) held at IIT Indore, Indore, India during November 12-14, 2019.
  4. Presented a paper in the International Conference on Mathematical Modeling and Computations (ICMMC-2018) held at South Asian University, New Delhi, India during December 01-03, 2018.
  5. Presented a paper in the 2nd International Conference on Mathematical Modelling, Applied Analysis and Computation-2019 (ICMMAAC-19) held at JECRC University, Jaipur, India during August 8-10, 2019.
  6. Presented a paper in the International Conference on Nonlinear Differential Equations - Theory, Modeling and Computations held at SRM University, Chennai, India during December 08-09, 2017.

Workshops/Training Programs

 

  1. Workshop on Science Academies Lecture Workshop on Essence of Partial Differential Equation organized by the School of Basic Sciences, Indian Institute of Technology Mandi, India, April 02-04, 2018.
  2. Workshop on Controllability of Heat and Wave Equations under the auspices of National Program on Differential Equation: Theory, Computation and Applications (NPDE-TCA), School of Basic Sciences, Indian Institute of Technology Mandi, India, November 16-20, 2015.
  3. Advance Level Training programme on Advance Mathematics for Researchers in Engineering Field organized by the School of Basic Sciences, IIT Mandi, India during March 24-28, 2017
  4. Attended The Research Fair Anusandhan, March 04, Indian Institute of Technology Mandi, Himachal Pradesh, India
  5. National Level Training programme on Differential Equations with Applications in Engineering organized by the School of Basic Sciences, IIT Mandi, India during July 01-08, 2016.

Achievement, Awards and Recognitions

  • National Eligibility Test-Junior Research Fellowship (NET-JRF) organized by CSIR New Delhi, AIR - 118.
  • Graduate Aptitude Test in Engineering (GATE-2015) organized by IIT Kanpur, AIR-284.
  • International Travel Support (IIT Mandi) to attend the International Congress of Mathematicians-2018 (ICM-2018) held at Rio de Janeiro, Brazil, August 01-09, 2018.
  • National Travel Support (IIT Indore) to attend the International Conference on Computational Mathematics and its Applications (CMA-2019) held at IIT Indore, Indore, India during November 12-14, 2019.
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