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.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference34 articles.
1. A fractional integral operator corresponding to negative powers of a certain second-order differential operator
2. Metod operatorov preobrazovaniya i kraevye zadachi dlya singulyarnykh ellipticheskikh uravnenii;Katrakhov;Sovrem. Mat. Fundam. Napravleniya,2018
3. On fractional powers of Bessel operators;Shishkina;J. Inequal. Spec. Funct.,2017
4. On fractional powers of the Bessel operator on semiaxis;Shishkina;Sib. Electron. Math. Rep.,2018
5. Fractional Powers of a Class of Ordinary Differentilal Operators
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