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Existence Results for a Nonlocal Coupled System of Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals
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Existence Results for a Nonlocal Coupled System of Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals

Sotiris K. Ntouyas, Abrar Broom, Ahmed Alsaedi, Tareq Saeed and Bashir Ahmad
Symmetry (Basel), Vol.12(4), p.578
01/04/2020
DOI: https://doi.org/10.3390/sym12040578

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
In this paper, we study the existence and uniqueness of solutions for a new kind of nonlocal four-point fractional integro-differential system involving both left Caputo and right Riemann-Liouville fractional derivatives, and Riemann-Liouville type mixed integrals. The Banach and Schaefer fixed point theorems are used to obtain the desired results. An example illustrating the existence and uniqueness result is presented.
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https://doi.org/10.3390/sym12040578View
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