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
- Generalized Ulam–Hyers–Rassias Stability of Solution for the Caputo Fractional Non-instantaneous Impulsive Integro-differential Equation and Its Application to Fractional RLC … (3), 2023
- Ulam–Hyers Stability of Second-Order Convergent Finite Difference Scheme for First-and Second-Order Nonhomogeneous Linear Differential Equations with Constant Coefficients (2), 2023
- Stabilization and asymptotic stability of the Caputo–Fabrizio fractional-order linear and semilinear evolution equations , 2023
- Caputo-fabrizio fractional-order systems: periodic solution and stabilization of non-periodic solution with application to gunn diode oscillator, 2023