Existence results for fractional order functional differential equations with infinite delay

doi:10.1016/j.jmaa.2007.06.021

Journal of Mathematical Analysis and Applications

Volume 338, Issue 2, 15 February 2008, Pages 1340-1350

https://doi.org/10.1016/j.jmaa.2007.06.021 Get rights and content

Under an Elsevier user license

open archive

Abstract

The Banach fixed point theorem and the nonlinear alternative of Leray–Schauder type are used to investigate the existence of solutions for fractional order functional and neutral functional differential equations with infinite delay.

Keywords

Functional differential equations

Fractional derivative

Fractional integral

Existence

Fixed point