Existence and Uniqueness of Solution to a Functional Integro-differential Fractional Equation
Classical Analysis and ODEs
2012-06-21 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1206.3996,
title = {Existence and Uniqueness of Solution to a Functional Integro-differential Fractional Equation},
author = {Moulay Rchid Sidi Ammi and El Hassan El Kinani and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1206.3996},
year = {2012}
}
Comments
Submitted 27-Jan-2012; accepted 18-Jun-2012; for publication in the Electronic Journal of Differential Equations (http://ejde.math.txstate.edu)