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Solvability of a Coupled System of Fractional Differential Equations with Nonlocal and Integral Boundary Conditions

Ahmad B., Ntouyas S. K., Alsaedi A., Hobiny A.

Fundamenta Informaticae

2017

Vol. 151, nr 1/4

91--108

This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with nonlocal and integral boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. The results are explained with the aid of examples. The case of nonlocal strip conditions is also discussed.