Dr. Bichitra Kumar Lenka | Fractional calculus | Best Researcher Award

Indian Institute of Technology (Indian School of Mines) Dhanbad, India

Professional Profiles:

👨‍🎓 Bio Summary:

Dr. Bichitra Kumar Lenka is an accomplished mathematician specializing in fractional calculus, nonlinear dynamics, and control theory. He holds a Ph.D. in Mathematics from the Indian Institute of Science Education and Research (IISER) Kolkata, where his research focused on the dynamics and stability of fractional order systems. Currently serving as an Institute Post-Doctoral Fellow at IIT (Indian School of Mines) Dhanbad, he has previously worked at IIT Guwahati. Dr. Lenka’s research contributes to developing innovative methods for stability theory, with applications in engineering control systems. His work has been published in reputable international journals, advancing the field of applied mathematics.

🎓 Educational Background:

Dr. Bichitra Kumar Lenka holds a Ph.D. in Mathematics from the prestigious Indian Institute of Science Education and Research (IISER) Kolkata (2019), where his thesis focused on the Dynamics and Stability of Fractional Order Systems. He earned an M.Sc. in Mathematics from Indian Institute of Technology (IIT) Delhi in 2011, completing a thesis on the Kinematic Scheme for Euler Equations. His academic journey began with a B.Sc. in Mathematics (Hons) from Ravenshaw University Cuttack, where he graduated with an impressive 92.2% in his honors subject.

🔍 Research Focus:

Dr. Lenka’s research spans fractional calculus, nonlinear dynamics, control theory, and stability theory. His primary areas of interest include exploring real-order systems and time-delay systems, with a focus on developing stability conditions using advanced mathematical theories like Lyapunov, Lyapunov-Razumikhin, Metzler, and Mittag-Leffler. His innovative work has contributed to advancing the field of real-order calculus and its application in engineering control theory and other complex systems.

🏆 Honors & Awards:

While Dr. Lenka’s formal accolades are yet to be listed, his prestigious post-doctoral fellowships at IIT Dhanbad and IIT Guwahati are significant achievements, reflecting recognition of his expertise and dedication in applied mathematics. His work has been accepted in notable international journals, adding further recognition to his contributions to fractional calculus and control theory.

💼 Professional Experience:

Dr. Lenka currently serves as an Institute Post-Doctoral Fellow at IIT (Indian School of Mines) Dhanbad, where he continues his research on fractional calculus and control theory under the mentorship of Professor Ranjit Kumar Upadhyay. Previously, he held the same position at IIT Guwahati, working with Professor Swaroop Nandan Bora on similar research themes from December 2020 to June 2023.

📚 Top Noted Publications :

Sufficient Conditions for Asymptotic Stability and Stabilization of Autonomous Fractional Order Systems
Authors: B.K. Lenka, S. Banerjee
Citations: 58
Published in: Communications in Nonlinear Science and Numerical Simulation
Year: 2018
Index: 56, 365-379

Fractional Comparison Method and Asymptotic Stability Results for Multivariable Fractional Order Systems
Author: B.K. Lenka
Citations: 49
Published in: Communications in Nonlinear Science and Numerical Simulation
Year: 2019
Index: 69, 398-415

Asymptotic Stability and Stabilization of a Class of Nonautonomous Fractional Order Systems
Authors: B.K. Lenka, S. Banerjee
Citations: 37
Published in: Nonlinear Dynamics
Year: 2016
Index: 85 (1), 167-177

New Global Asymptotic Stability Conditions for a Class of Nonlinear Time-Varying Fractional Systems
Authors: B.K. Lenka, S.N. Bora
Citations: 21
Published in: European Journal of Control
Year: 2022
Index: 63, 97-106

Time-Varying Lyapunov Functions and Lyapunov Stability of Nonautonomous Fractional Order Systems
Author: B.K. Lenka
Citations: 19
Published in: International Journal of Applied Mathematics
Year: 2019
Index: 32, 111-130

Conclusion:

Dr. Bichitra Kumar Lenka’s specialized research in fractional calculus, stability theory, and nonlinear dynamics demonstrates considerable depth and promise. His post-doctoral experiences at premier Indian institutions and publications in reputed journals further cement his position as a noteworthy researcher. Given his contributions to the theoretical understanding of complex systems and stability, he is a strong candidate for the Best Researcher Award.