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Madhu Kant Sharma

Madhu Kant Sharma
Madhu Kant Sharma
 
PhD (Mathematics), IIT Madras

Contact Details

 
079-68261554
 
# 1109, FB-1 , DA-IICT, Gandhinagar, Gujarat, India – 382007
 
https://www.researchgate.net/profile/Madhukant-Sharma
https://scholar.google.com/citations?user=o_BY9JYAAAAJ&hl=en

Biography

Dr. Madhu Kant Sharma received his M.Sc. (Mathematics) degree (2008-2010) from the Indian Institute of Technology Kanpur, and his Ph.D. degree in Mathematics (2011-2015) from the Indian Institute of Technology Madras. He has held academic positions as an Assistant Professor at the Mahindra EcoleCentale Hyderabad (Aug. 2015 – Jul. 2018) and at the Indian Institute of Information Technology Dharwad (Aug. 2018 – May 2020). Since June 2020, he has been with the Dhirubhai Ambani Institute of Information and Communication Technology (DA-IICT) Gandhinagar as an Assistant Professor. His current research interests include the analytical and numerical study of Fractional Differential Equations (FDEs), Applications of FDEs, Optimization Techniques, and Signal Processing.

Specialization

Fractional Differential Equations, Optimization, Numerical Methods for PDEs, Signal Processing

Publications

  • Prusty, B., Sharma, M. A Robust Higher-Order Scheme for Fractional Delay Differential Equations Involving Caputo Derivative. Iran J Sci 48, 1561–1577 (2024). https://doi.org/10.1007/s40995-024-01695-9 
  • Madhukant Sharma, Existence of optimal pairs and solvability of non-autonomous fractional Sobolev-type integrodifferential equations. Indian J Pure Appl Math, (2023). ISSN: 0975-7465. https://doi.org /10.1007/s13226-023-00457-4
  • Madhukant Sharma, Udit Satija, MGDMD: Multi-Variate Generalized Dispersive Mode Decomposition, Signal Processing},  Vol. 196, 108511, (2022). https://doi.org/10.1016/j.sigpro.2022.108511
  • Madhukant Sharma, Shruti Dubey, Solvability and controllability of a retarded-type nonlocal non-autonomous fractional differential equation, Progress in Fractional Differential Equations and Applications, (2022). http://dx.doi.org/10.18576/pfda/090310
  • Madhukant Sharma, Solvability and Optimal Control of Nonautonomous Fractional Dynamical Systems of Neutral-Type with Nonlocal Conditions, Iranian Journal of Science and Technology, Transactions A: Science,  Vol. 45(6) , pp. 2121 - 2133, (2021). https://doi.org/10.1007/s40995-021-01215-z.
  • Madhukant Sharma, Shruti Dubey, Existence of Solutions to Sobolev type Nonlocal Nonlinear Functional Integrodifferential Equations involving Caputo derivative, Differential Equations and Dynamical Systems, ISSN: 0974-6870, https://doi.org/10.1007/s12591-019-00505-8, 2019.
  • Indira Mishra, Madhukant Sharma, Approximate Controllability of a Non-Autonomous Differential Equation, Proceedings – Mathematical Sciences, ISSN: 0253-4142, (2018), 128(3), https://doi.org/10.1007/s12044-018-0391-6
  • Madhukant Sharma, Shruti Dubey, Analysis of Fractional Functional Differential Equations of Neutral Type with Nonlocal Conditions, Differential Equations and Dynamical Systems, ISSN:0974-6870, (2017), 25, 499-517, https://doi.org/10.1007/s12591-016-0290-1.
  • Madhukant Sharma, Shruti Dubey, Controllability of Sobolev type Nonlinear Nonlocal Fractional Functional Integro-differential Equations, Progress in Fractional Differentiation and Applications, ISSN: 2356-9336, (2015), 1(4), 281 – 293, http://dx.doi.org/10.18576/pfda/010405
  • Madhukant Sharma, Shruti Dubey, Controllability of Nonlocal Fractional Functional Differential Equations of Neutral Type, International Journal of Dynamical Systems and DifferentialEquations, ISSN: 1752-3583, (2015), 5(4), 302 – 321, https://dx.doi.org/10.1504/IJDSDE.2015.072840
  • Madhukant Sharma, B. V. Rathish Kumar, Vivek Sangwan, S. K. Murthy, Modeling and simulation of dispersed two – phase flows of bubbles, drops and particles, World Journal of Modelling and Simulation, ISSN: 1746-7233, (2015), 11(2), 145 – 160, http://www.wjms.org.uk/wjmsvol11no02paper07.pdf
  • Madhukant Sharma, Shruti Dubey,Asymptotic Behavior of Solutions to Nonlinear Nonlocal Fractional Functional Differential Equations, Journal of Nonlinear Evolution Equations and Applications, ISSN: 2161-3680, (2015), 2015(2), 21 – 30, http://www.jneea.com/sites/jneea.com/files/JNEEA-vol.2015-no.2.pdf
  • Shruti Dubey, Madhukant Sharma, Solutions to Fractional Functional Differential Equations with Nonlocal Conditions, Fractional Calculus and Applied Analysis, ISSN: 1314-2224, (2014),17(3), 654 – 673, https://doi.org/10.2478/s13540-014-0191-3
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Teaching

  • Computational and Numerical Methods
  • Functions of Single Variable & ODEs
  • Probability, Statistics and Information Theory
  • Functions of Several Variables & PDEs
  • Linear Algebra
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