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Existence and Uniqueness Results for Different Orders Coupled System of Fractional Integro-Differential Equations with Anti-Periodic Nonlocal Integral Boundary Conditions
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Existence and Uniqueness Results for Different Orders Coupled System of Fractional Integro-Differential Equations with Anti-Periodic Nonlocal Integral Boundary Conditions

Ymnah Alruwaily, Shorog Aljoudi, Lamya Almaghamsi, Abdellatif Ben Makhlouf and Najla Alghamdi
Symmetry (Basel), Vol.15(1), p.182
01/01/2023
DOI: https://doi.org/10.3390/sym15010182

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
This paper presents a new class of boundary value problems of integrodifferential fractional equations of different order equipped with coupled anti-periodic and nonlocal integral boundary conditions. We prove the existence and uniqueness criteria of the solutions by using the Leray-Schauder alternative and Banach contraction mapping principle. Examples are constructed for the illustration of our results.
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https://doi.org/10.3390/sym15010182View
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