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

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.

arXiv commentin Russian

References in corpus (1)

• Fractional Klein-Gordon equations and related stochastic processes

Cited by in corpus (2)

• Fractional Newton-Raphson Method Accelerated with Aitken's Method
• Numerical solution using radial basis functions for multidimensional fractional partial differential equations of type Black-Scholes