Arun Kumar | Mathematical Modeling | Best Researcher Award

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Dr. Arun Kumar | Mathematical Modeling | Best Researcher Award

IIT Mandi | India

Dr. Arun Kumar is a Research Associate (Postdoctoral) at the Indian Institute of Technology Mandi, specializing in mathematical and computational modeling of complex biological, ecological, and epidemiological systems. He earned his Ph.D. in Mathematics from Banaras Hindu University in 2023, following an M.Sc. in Mathematics from the same institution and a B.Sc. from CCS University, Meerut. His research focuses on nonlinear dynamics, bifurcation theory, delay differential equations, reaction–diffusion systems, Turing patterns, and the integration of deep learning and physics-informed neural networks (PINNs) for solving partial differential equations. Dr. Kumar has published extensively in high-impact journals on topics including SIR/SIRS epidemic models, cross-diffusion models, predator–prey dynamics, and pattern formation in spatial ecological systems. His work bridges theoretical mathematics and practical applications in disease modeling and ecology, offering insights into complex population interactions, control strategies, and spatio-temporal dynamics. Currently, he is developing deep learning algorithms to solve PDEs with applications in ecological and epidemiological systems. His ongoing research explores predator-prey interactions, learning in ecological models, and the forecasting of infectious diseases such as monkeypox. Dr. Kumar’s contributions have advanced the understanding of nonlinear systems, providing both analytical and computational tools for studying complex biological and ecological phenomena.

Profile : Google Scholar

Featured Publications

Gupta, R. P., & Kumar, A. (2022). “Endemic bubble and multiple cusps generated by saturated treatment of an SIR model through Hopf and Bogdanov–Takens bifurcations.” Mathematics and Computers in Simulation, 197, 1–21.

Gupta, R. P., Kumar, A., & Yadav, D. K. (2024). “The complex dynamical study of a UAI epidemic model in non-spatial and spatial environments.” The European Physical Journal Plus, 139(2), 117.

Yadav, D. K., Gupta, R. P., & Kumar, A. (2022). “Nonlinear dynamics of a three species prey-predator system incorporating fear effect and harvesting.” Journal of Mathematical Control Science and Applications.

Kumar, A., Gupta, R. P., & Tiwari, S. (2022). “Influences of nonlinear cross-diffusion on a reduced SI epidemic model with saturated treatment.”

Kumar, A., Kumari, N., Mandal, S., & Tiwari, P. K. (2025). “Autonomous and non-autonomous dynamics of an SIRS model with convex incidence rate.” Journal of the Franklin Institute, 108236.

Hasanen A. Hammad | Functional Analysis | Best Researcher Award

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Assoc. Prof. Dr. Hasanen A. Hammad | Functional Analysis | Best Researcher Award

Qassim University-Sohag University | Saudi Arabia

Assoc. Prof. Dr. Hasanen A. Hammad is a distinguished mathematician specializing in Functional Analysis, currently serving at the Department of Mathematics, Sohag University, Egypt, and the College of Science and Arts, Qassim University, Saudi Arabia. He earned his Ph.D. (2018), M.Sc. (2015), and B.Sc. (2010, with honors) in Mathematics from Sohag University. With a prolific academic record, Dr. Hammad has published 149 research papers, accumulating 1,157 citations and achieving an h-index of 29 (Scopus). His research focuses on fixed point theory, fractional calculus, differential equations, variational inequalities, and nonlinear functional analysis, contributing significantly to the advancement of mathematical modeling and its applications. He actively serves as a reviewer and editor for prestigious journals, including AIMS Mathematics, Mathematics, Fractal and Fractional, and Journal of Computational and Applied Mathematics. Dr. Hammad has supervised and evaluated doctoral and master’s theses, and his recent works explore advanced fractional differential systems and stability analysis techniques. Recognized for his dedication to scientific excellence and peer review, he continues to foster international collaborations and mentor young researchers. His contributions underscore his commitment to innovation and the practical impact of mathematical sciences in solving complex theoretical and applied problems.

Profiles : Orcid | Scopus | Google Scholar

Featured Publications

Hammad, H.A., Aboelenen, T., & Abdalla, M.E.M. (2025). Optimal control and controllability theorems for impulsive Hilfer fractional integro-differential inclusions with numerical applications. Ain Shams Engineering Journal.

Hammad, H.A. & De la Sen, M. (2025). Existence and stability analysis of fractional differential quasi-variational inequalities with illustrative applications. Advances in Continuous and Discrete Models.

Hammad, H.A., Liu, Z., & Abdalla, M.E.M. (2025). Existence and stability results of f-Caputo modified proportional fractional delay differential systems with boundary conditions. Boundary Value Problems.

Hammad, H.A., Dafaalla, M.E., & Abdalla, M.E.M. (2025). Creating a novel algorithm for studying the strong convergence to a sequence with applications. PLOS ONE.

Hammad, H.A., Abdeljawad, T., & De la Sen, M. (2025). Solving nonlinear fractional equations and some related integral equations under a measure of noncompactness. Computational and Applied Mathematics.

Matap Shankar – Dynamical Systems – Best Researcher Award 

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Dr Matap Shankar - Dynamical Systems - Best Researcher Award 

Department of Mathematics Indian Institute of Technology Guwahati - India 

Author Profile

Early Academic Pursuits

Dr. Matap Shankar began his academic journey with a Bachelor's degree in Mathematics Honours from Kurseong College, North Bengal University, West Bengal. He successfully completed his Higher Secondary education from Pushpa Rani Roy Memorial School, Kurseong, and his Secondary education from St. Xavier’s Higher Secondary School, Dilaram Darjeeling.

Professional Endeavors

Dr. Matap Shankar pursued his interest in mathematics further by obtaining a Master's degree in Mathematics and Computing from the Department of Mathematics at the Indian Institute of Technology Guwahati. His Master's project, supervised by Prof. Bhaba Kumar Sharma, focused on "Minimum Rank of a Simple Digraphs."

His academic journey continued with a Ph.D. in the Department of Mathematics at the Indian Institute of Technology Guwahati, where he delved into the research realm under the guidance of Prof. Swaroop Nandan Bora. His doctoral thesis, titled "Ulam-Hyers and Lyapunov Stability for Some Classes of Fractional Differential Equations and Difference Equations," showcases his dedication to advancing knowledge in the field.

Contributions and Research Focus

Dr. Matap Shankar's research interests lie in the qualitative analysis of fractional-order dynamical systems and control. His specific research areas include stability analysis of fractional-order dynamical systems, Ulam-Hyers, and Lyapunov stability analysis of fractional-order differential equations, and bifurcation theory of fractional-order dynamical systems.

He has made significant contributions to the field, evident in his publications in reputable journals. Notable works include papers on Ulam-Hyers stability, stabilization, and Lyapunov stability analysis of fractional-order systems.

Accolades and Recognition

Dr. Matap Shankar's academic excellence has been recognized through various honors and awards. He has been awarded a Senior Research Fellowship by MHRD, demonstrating his exceptional research capabilities. Earlier, he received a Junior Research Fellowship by MHRD, qualified the GATE Examination in Mathematics, and secured a Merit-Cum-Means Scholarship by IIT Guwahati.

His achievements also extend to national-level exams, such as qualifying the CSIR NET Examination in Mathematics and the Joint Admission Test for M.Sc (JAM) Examination.

Impact and Influence

Dr. Matap Shankar's influence extends beyond his research contributions. As a Teaching Assistant at the Indian Institute of Technology Guwahati, he has actively contributed to the academic growth of students by assisting in various theory courses.

His participation in workshops, seminars, and conferences demonstrates a commitment to staying updated with the latest advancements in his field and sharing knowledge with the academic community.

Legacy and Future Contributions

Dr. Matap Shankar's legacy lies in his significant research contributions, academic achievements, and the impact he has had on students through his role as a Teaching Assistant. As he continues to explore and contribute to the field of mathematics, his future contributions are eagerly anticipated, and he is well-positioned to make further advancements in qualitative analysis and control of fractional-order dynamical systems.

Notable Publication