Date: 16 Jan 2013

Operational Calculus for Bessel’s Fractional Equation

* Final gross prices may vary according to local VAT.

Get Access


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.

Mathematics Subject Classification (2010). Primary 35R11; Secondary 34B30, 42A38, 47H10.