Existence and Uniqueness of Solution to a Functional Integro-differential Fractional Equation

Moulay Rchid Sidi Ammi, El Hassan El Kinani, Delfim F. M. Torres

Published 2012-06-18Version 1

We prove, using a fixed point theorem in a Banach algebra, an existence result for a fractional functional differential equation in the Riemann-Liouville sense. Dependence of solutions with respect to initial data and an uniqueness result are also derived.