paper

Solution to the fractional equation with left-sided fractional Bessel derivatives of Gerasimov-Caputo type

arXiv:2006.01829 · doi:10.3390/math7121216

Abstract

In the 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 Bessel operator using the Meijer integral transform.

in Russian