Existence and Uniqueness Results for a Coupled System of Caputo-Hadamard Fractional Differential Equations with Nonlocal Hadamard Type Integral Boundary Conditions

Autor: Shorog Aljoudi, Bashir Ahmad, Ahmed Alsaedi
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Fractal and Fractional, Vol 4, Iss 2, p 13 (2020)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract4020013
Popis: In this paper, we study a coupled system of Caputo-Hadamard type sequential fractional differential equations supplemented with nonlocal boundary conditions involving Hadamard fractional integrals. The sufficient criteria ensuring the existence and uniqueness of solutions for the given problem are obtained. We make use of the Leray-Schauder alternative and contraction mapping principle to derive the desired results. Illustrative examples for the main results are also presented.
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