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A six-point nonlocal boundary value problem of nonlinear coupled sequential fractional integro-differential equations and coupled integral boundary conditions
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A six-point nonlocal boundary value problem of nonlinear coupled sequential fractional integro-differential equations and coupled integral boundary conditions

Bashir Ahmad, Ahmed Alsaedi, Shorog Aljoudi and Sotiris K. Ntouyas
Journal of applied mathematics & computing, Vol.56(1-2), pp.367-389
01/02/2018

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper studies the existence of solutions for a six-point boundary value problem of coupled system of nonlinear Caputo (Liouville-Caputo) type sequential fractional integro-differential equations supplemented with coupled nonlocal Riemann-Liouville integral boundary conditions. Our results are based on some classical results of the fixed-point theory. An example is constructed to demonstrate the application of our work. Some interesting observations are also presented.

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