A coupled system of Hadamard type sequential fractional differential equations with coupled strip conditions

Shorog Aljoudi, Bashir Ahmad, Juan J. Nieto and Ahmed Alsaedi

Chaos, Solitons & Fractals, 2016, vol. 91, issue C, 39-46

Abstract: 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.

Keywords: Hadamard fractional derivative; Coupled system; Strip conditions; Existence; Fixed point (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (10)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:91:y:2016:i:c:p:39-46

DOI: 10.1016/j.chaos.2016.05.005

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