Journal
CHAOS SOLITONS & FRACTALS
Volume 91, Issue -, Pages 39-46Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2016.05.005
Keywords
Hadamard fractional derivative; Coupled system; Strip conditions; Existence; Fixed point
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We study a nonlocal boundary value problem of Hadamard type coupled sequential fractional differential equations supplemented with coupled strip conditions (nonlocal Riemann-Liouville integral boundary conditions). The nonlinearities in the coupled system of equations depend on the unknown functions as well as their lower order fractional derivatives. We apply Leray-Schauder alternative and Banach's contraction mapping principle to obtain the existence and uniqueness results for the given problem. An illustrative example is also discussed. (C) 2016 Elsevier Ltd. All rights reserved.
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