## On Fractional Whittaker Equation and Operational Calculus

J. Math. Sci. Univ. Tokyo
Vol. 20 (2013), No. 1, Page 127–146.

Rodrigues, M. M. ; Vieira, N.
On Fractional Whittaker Equation and Operational Calculus
This paper is intended to investigate a fractional differential Whittaker's equation of order $2\alpha$, 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.