Seminars and Workshops Mikusinski’s operational calculus for the Riemann-Liouville fractional derivative with respect to a function

Topic of Research Seminar: Mikusinski’s operational calculus for the Riemann-Liouville fractional derivative with respect to a function

Abstract: Mikusinski’s operational calculus is a formalism for understanding integral and derivative operators and solving differential equations, which has been applied to several types of fractional-calculus operators by Y. Luchko and collaborators. In this talk, we consider the operators of Riemann–Liouville fractional differentiation of a function with respect to another function, and discover that the approach of Luchko can be followed, with small modifications, in this more general setting too. The Mikusinski’s operational calculus approach is used to obtain exact solutions of fractional differential equations with constant coefficients and with this type of fractional derivatives. These solutions can be expressed in terms of Mittag-Leffler type functions.

Joint work with: Arran Fernandez (Eastern Mediterranean University, Northern Cyprus, Turkey)

Subject Field of Topic: Fractional Calculus

Name of Speaker: Hafiz Muhammad Fahad

Professorial Rank of Speaker: PhD Student

University Email of Speaker: hmfahad@emu.edu.tr / hafizmuhammadfahad13@gmail.com

Affiliation of Speaker: Eastern Mediterranean University, Northern Cyprus

Date and Venue: 14 September, 2022 at 15:30 Hrs, SNS old building CR # 303, NUST Islamabad.