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arXiv · 2006.01829

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

Elina Shishkina·Sergey Sitnik
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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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Elina Shishkina, Sergey Sitnik. 2020-06-02. Solution to the fractional equation with left-sided fractional Bessel derivatives of Gerasimov-Caputo type. https://doi.org/10.3390/math7121216

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