Prabakaran Raghavendran | Differential Equations | Young Scientist Award

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Mr. Prabakaran Raghavendran | Differential Equations |Young Scientist Award

Research Scholar | Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology , India

Prabakaran Raghavendran is a Ph.D. scholar in Mathematics at Vel Tech R&D Institute, specializing in Fractional Differential Equations and Control Theory, with 33 research publications, 12 patent publications, and diverse interdisciplinary research internships in AI, neuroscience, and energy forecasting.

Profile

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Scholar

🎓 Education 

He is currently pursuing a Ph.D. in Mathematics from Vel Tech R&D Institute; completed his M.Sc. Mathematics with 9.79 CGPA from the same institute in 2022; earned a B.Sc. in Mathematics with 9.25 CGPA from Loyola College, Chennai, in 2020; passed Class XII in 2017 with 87.5% and Class X in 2015 with 94% from Velammal Matriculation School.

💼 Experience 

He interned as a software engineer at CGI Infosys, a Python and LaTeX trainee at Loyola College, and in Finance & Accounts at Falcon Enterprises; participated in two major research internships involving AI in neuroscience and energy forecasting; also conducted academic research on fuzzy algebra and COVID-19 employment effects.

🏅 Awards and Honors 

Recipient of the Young Scientist Award 2025, Young Researcher Award 2024, and two cash awards from Vel Tech University for patent excellence; awarded Rank 1 in SRASS 2025; life member of ISFSEA, IOASD, and IAENG; presented at ICMMAAC-24 in Lebanon with international recognition.

🔬 Research Focus 

His core research lies in Fractional Differential Equations, Control Theory (linear, nonlinear, stochastic, fuzzy), Integral Transforms, Cryptography, Fuzzy Algebra, and AI applications, with practical emphasis on solving boundary value problems, signal processing, robotics, and real-world optimization challenges.

📝 Conclusion

Prabakaran Raghavendran has shown exceptional promise as a researcher, with outstanding academic performance and a rich research portfolio that includes a variety of innovative patents. His interdisciplinary approach, along with his accolades such as the Young Scientist Award and Best Paper Presentation Award, clearly position him as a strong candidate for future awards and recognition in the scientific community. By expanding his research collaboration and focusing on the real-world applications of his work, he has the potential to make significant contributions to both academic and applied sciences.

Publication

    • Title: Analyzing existence, uniqueness, and stability of neutral fractional Volterra-Fredholm integro-differential equations
      Year: 2024
      Authors: T. Gunasekar, P. Raghavendran, S.S. Santra, M. Sajid

    • Title: Solving fractional integro-differential equations by Aboodh transform
      Year: 2024
      Authors: P. Raghavendran, T. Gunasekar, H. Balasundaram, S.S. Santra

    • Title: Application of Laplace transform to solve fractional integro-differential equations
      Year: 2024
      Authors: B.H. Gunasekar T., Raghavendran P., Santra Sh. S., Majumder D., Baleanu D.

    • Title: Advancing Cryptographic Security With Kushare Transform Integration
      Year: 2024
      Authors: R. Prabakaran, T. Gunasekar

    • Title: Applications of the R-Transform for Advancing Cryptographic Security
      Year: 2024
      Authors: T. Gunasekar, P. Raghavendran

    • Title: The Mohand transform approach to fractional integro-differential equations
      Year: 2024
      Authors: T. Gunasekar, P. Raghavendran

    • Title: Existence and controllability results for neutral fractional Volterra-Fredholm integro-differential equations
      Year: 2024
      Authors: T. Gunasekar, P. Raghavendran, S.S. Santra, M. Sajid

    • Title: Study of non-linear impulsive neutral fuzzy delay differential equations with non-local conditions
      Year: 2023
      Authors: T. Gunasekar, J. Thiravidarani, M. Mahdal, P. Raghavendran, A. Venkatesan

    • Title: Application of artificial neural networks for existence and controllability in impulsive fractional Volterra-Fredholm integro-differential equations
      Year: 2024
      Authors: P. Raghavendran, T. Gunasekar, S. Gochhait

 

Muslim Malik | Differential Equations | Best Researcher Award

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Dr . Muslim Malik | technology | Best Researcher Award

👨‍🏫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.

🌐 Professional Profiles

 

🎓 Educational Background 📜

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..

🔍 Research Focus 📊

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. 📈🔬

👩‍🏫 Academic Leadership 🌐

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.

👩‍🎓 Doctoral and Master’s Supervision 📚

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.

👨‍🏫 Teaching Experience 📝

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.

🌍 Research Visits and Post-doctoral Experience 🌐

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.

📚Top 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.