A Fractional Equation with Left-Sided Fractional Bessel Derivatives of Gerasimov–Caputo Type
Elina ShishkinaDepartment of Cognitive Science and Mathematical Modeling, Faculty of Applied Informatics, Wyższa Szkoła Informatyki i Zarządzania, 2 ul. Sucharskiego, 35-225 Rzeszow, PolandС. М. СитникBelgorod State National Research University, 85 Pobedy Street, 308015 Belgorod, Russia
2019en
ABI
Annotatsiya
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.
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