Existence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations
Date
2017-02-02
Authors
Ahmad, Bashir
Ntouyas, Sotiris
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Fractional differential equations, Existence, Fixed point, Functional fractional differential equations, Caputo-Hadamard fractional differential equations
Citation
Ahmad, B., & Ntouyas, S. K. (2017). Existence and uniqueness of solutions for Caputo-Hadamard sequential fractional order neutral functional differential equations. <i>Electronic Journal of Differential Equations, 2017</i>(36), pp. 1-11.
Rights
Attribution 4.0 International