Muslim Malik | Differential Equations | Best Researcher Award

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Dr . Muslim Malik | technology | Best Researcher Award

šŸ‘Øā€šŸ«Profile Summary

Dr. Muslim Malik, an esteemed academic and researcher, currently serves as the Chairperson of the School of Mathematical and Statistical Sciences at the Indian Institute of Technology Mandi. With a wealth of experience, they have held key positions as an Associate and Assistant Professor, contributing significantly to mathematical biology, fluid dynamics, and inverse problems. Their commitment extends to guiding Ph.D. and M.Sc. students, with impactful research outcomes. A dedicated educator, their teaching spans various mathematical courses, showcasing a versatile skill set. Driven by a profound academic background and diverse international experiences, they continue to shape the landscape of mathematical research and education.

šŸŒ Professional Profiles

 

šŸŽ“ Educational Background šŸ“œ

My academic journey started at Aligarh Muslim University, where I completed my Bachelor’s and Master’s degrees in Mathematics. I earned my Ph.D. from the prestigious Indian Institute of Technology Kanpur, focusing on the study of retarded and neutral functional differential equations with applications. This academic foundation has propelled me into a fulfilling career in research, teaching, and academic leadership..

šŸ” Research Focus šŸ“Š

As a dedicated researcher, my primary interests lie in the realms of fractional, delay, impulsive, and neutral differential equations, with a particular emphasis on their applications in mathematical biology. I am actively involved in exploring inverse problems, particularly in the context of fluid dynamics and differential equations. My research also delves into the qualitative study of abstract differential equations, investigating their stability, controllability, and observability. Time scales calculus forms another pivotal aspect of my work. Currently serving as the Chairperson at the School of Mathematical and Statistical Sciences, Indian Institute of Technology Mandi, I have been contributing to the academic landscape since my earlier role as an Assistant Professor. My teaching repertoire includes courses in mathematics, such as analysis, differential equations, Fourier series, Laplace transform, and more. šŸ“ˆšŸ”¬

šŸ‘©ā€šŸ« Academic Leadership šŸŒ

In my current position as Chairperson, I provide strategic direction to the School of Mathematical and Statistical Sciences. I have also served as an Associate Professor and Assistant Professor at the same institute. Beyond the borders of India, I have contributed to the academic community as an Assistant Professor at institutions in Saudi Arabia and Goa. My commitment extends beyond research and teaching to various administrative roles, including serving as a warden, assistant warden, and committee member for mess selection at the Indian Institute of Technology Mandi.

šŸ‘©ā€šŸŽ“ Doctoral and Master’s Supervision šŸ“š

My academic journey includes the supervision of both Ph.D. and M.Sc. students, each contributing to diverse research areas. Current Ph.D. students are exploring topics ranging from inverse problems and abstract differential equations to discrete differential equations and deep learning techniques for solving differential equations. Past Ph.D. students have successfully completed their degrees, with several now holding positions as assistant professors or engaged in postdoctoral research globally.

šŸ‘Øā€šŸ« Teaching Experience šŸ“

My passion for teaching reflects in a broad spectrum of courses I’ve delivered, encompassing mathematics, analysis, linear algebra, and fractional differential equations. My teaching journey began at IIT Kanpur, where I also served as a tutor and teaching assistant, engaging with courses such as Real Analysis, Complex Analysis, Numerical Analysis, Linear Algebra, ODE, and PDE.

šŸŒ Research Visits and Post-doctoral Experience šŸŒ

I have undertaken research visits to international institutions in France, broadening my research perspectives. Additionally, my post-doctoral experience includes fellowships at the University of Chile and the Indian Institute of Science, reinforcing my commitment to advancing mathematical understanding and applications.

šŸ“šTop Noted Publication

  • “Projective synchronization of fractional order quaternion valued uncertain competitive neural networks” – Published in the Chinese Journal of Physics, (2024).

 

  • “Controllability of Prabhakar Fractional Dynamical Systems” – Published in Qualitative Theory of Dynamical Systems, 23, 63 (2024).

 

  • “Inverse problem for abstract delay differential equation with impulsive effects” – Published in Evolution Equations and Control Theory, 0-10.

 

  • “Inverse problem for an abstract neutral differential equation of Sobolev-type” – Accepted in the Rocky Mountain Journal of Mathematics.

 

  • “Existence, controllability, and Hyers-Ulam stability of a hybrid neutral switched system with impulsive effects” – Published in the International Journal of Systems Science, 55(3), 517-534.

 

  • “Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argument” – Published in Results in Control and Optimization, 100317.

 

  • “Inverse problem for an abstract neutral differential equation of Sobolev-type” – Published in the Indian Journal of Pure and Applied Mathematics, 1-14.

 

  • “Controllability of discrete-time semilinear Riemann-Liouville-like fractional equations” – Published in Chaos, Solitons & Fractals, 175, 113959.

 

  • “Approximation of solutions to abstract neutral differential equations with non-instantaneous impulses” – Published in The Journal of Analysis, 1-24.

 

  • “Inverse problem for an abstract neutral differential equation of Sobolev-type” – Published in Results in Control and Optimization, 11, 100235.

 

  • “An analysis of approximate controllability for Hilfer fractional delay differential equations of Sobolev type without uniqueness” – Published in Nonlinear Analysis: Modelling and Control, 28, 1-23.