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

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.

Submitted 27-Jan-2012; accepted 18-Jun-2012; for publication in the Electronic Journal of Differential Equations (http://ejde.math.txstate.edu)

References in corpus (3)

• Calculus of variations with fractional derivatives and fractional integrals
• Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems
• Composition Functionals in Fractional Calculus of Variations

Cited by in corpus (1)

• Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions