Prince Bharti Senior Research Fellow University of Hyderabad
I am a Senior research fellow in University of Hyderabad, working in the field of dynamic equations on time scales, particularly in the Integral equations on time scales, a rapidly growing area of mathematical analysis that unifies continuous and discrete systems.
The motivation behind my work lies in addressing real-world problems where processes evolve in both continuous and discrete time domains, such as biological systems, economics, control theory and dynamic models in engineering.
My current research involves the study of existence, uniqueness, bound on solutions, continuous dependence and other such qualitative results based on various fixed point theorems and variants of major integral inequalities within the time scales framework, which provides a powerful tool for bridging differential and difference equations. Through publications, collaborations and academic discussions, I strive to make meaningful contributions to the mathematical community.