Electronic Journal of Differential Equations (Feb 2017)
Existence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations
Abstract
In this article, we study the existence and uniqueness of solutions for Hadamard-type sequential fractional order neutral functional differential equations. The Banach fixed point theorem, a nonlinear alternative of Leray-Schauder type and Krasnoselski fixed point theorem are used to obtain the desired results. Examples illustrating the main results are presented. An initial value integral condition case is also discussed.