Prof.  Pratibhamoy  Das
Indian Institute of Technology,  India

Title: On the analytical properties and approximations of a class of fractional order weakly singular Volterra integro differential equations

Abstract:

In this talk I will start with a class of Caputo type fractional order weakly singular Volterra integro differential equations and provide a restriction under which the solution of this class of problems will exist and unique. Thereafter I will provide a perturbation based approximation of the solution and its convergence analysis. Numerical experiments will be provided to show that the theoretical convergence is ensured in practice, when one takes large number of terms in the series approximations.

Biography:

Dr. Pratibhamoy Das is an Assistant Professor of Department of Mathematics, Indian Institute of Technology Patna. He works mainly on the optimal accurate numerical analysis of singularly perturbed differential equations and approximations of fractional integro differential equations. Presently, he is working on the a posteriori estimate generation for system of boundary/interior layer originated parabolic problems and theoretical aspects and least square based optimal accurate solutions for fractional integro differential models.

Before joining to IIT Patna, he was an Einstein Foundation Fellow at Institute fur Mathematik, Technische Universitat Berlin, Germany, where he worked with the group of Prof. Volker Mehrmann. He was also a visiting faculty at IISER Bhopal and NBHM Fellow at Indian Institute of Science Bangalore. He did his master from IIT Bombay and doctorate from IIT Guwahati. At present, he has plenty of international MathScinet and SCI listed publications and single author publications. He is also receipt of several awards, including Young Scientist Award at 100th Indian Science Congress and also DAAD Research Ambassador of Germany.