Nonlinear Coupled Fractional Order Systems with Integro-Multistrip-Multipoint Boundary Conditions

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Bashir Ahmad
Ahmed Alsaedi
Sotiris K. Ntouyas

Abstract

We study the existence and uniqueness of solutions for a nonlinear system of coupled fractional differential equations equipped with nonlocal coupled integro-multistrip-multipoint boundary conditions. Our results are new in the sense that the given boundary conditions connect the values of the known functions over the given domain with the ones described on different sub-segments and different nonlocal positions within the given domain. We make use of Banach contraction mapping principle, Leray-Schauder alternative and Krasnoselskii fixed point theorem to prove the desired results for the problem at hand. An example illustrating the existence and uniqueness result is also presented.

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References

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