Bashir Ahmad, Sotiris K. Ntouyas
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.
Submitted November 11, 2016. Published February 2, 2017.
Math Subject Classifications: 34A08, 34K05.
Key Words: Fractional differential equations; existence; fixed point;
functional fractional differential equations;
Caputo-Hadamard fractional differential equations.
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Bashir Ahmad Department of Mathematics Faculty of Science King Abdulaziz University P.O. Box. 80203 Jeddah 21589, Saudi Arabia email: bashirahmad_qau@yahoo.com | |
Sotiris K. Ntouyas Department of Mathematics University of Ioannina 451 10 Ioannina, Greece email: sntouyas@uoi.gr |
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