A Fractional Equation with Left-Sided Fractional Bessel Derivatives of Gerasimov–Caputo Type

Author:

Shishkina ElinaORCID,Sitnik SergeyORCID

Abstract

In this article we propose and study a method to solve ordinary differential equations with left-sided fractional Bessel derivatives on semi-axes of Gerasimov–Caputo type. We derive explicit solutions to equations with fractional powers of the Bessel operator using the Meijer integral transform.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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