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

Published 2 Jun 2020 in math.CA | (2006.01829v1)

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.

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