Advances in Harmonic Analysis and Operator Theory pp 357-370 | Cite as

# Operational Calculus for Bessel’s Fractional Equation

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## Abstract

This paper is intended to investigate a fractional differential Bessel’s equation of order 2α with \( \alpha \in]0,1] \) involving the Riemann–Liouville derivative. We seek a possible solution in terms of power series by using operational approach for the Laplace and Mellin transform. A recurrence relation for coefficients is obtained. The existence and uniqueness of solutions is discussed via Banach fixed point theorem.

## Keywords

Fractional differential equations Riemann Liouville derivative Mellin transform Laplace transform Bessel equation.## Preview

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