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Mathematics 2019, 7(4), 354; https://doi.org/10.3390/math7040354

Stability, Existence and Uniqueness of Boundary Value Problems for a Coupled System of Fractional Differential Equations

Eastern Mediterranean University, Gazimagusa, T.R. North Cyprus, 99628, Mersin 10, Turkey
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Received: 20 February 2019 / Revised: 10 April 2019 / Accepted: 10 April 2019 / Published: 16 April 2019
PDF [324 KB, uploaded 16 April 2019]

Abstract

The current article studies a coupled system of fractional differential equations with boundary conditions and proves the existence and uniqueness of solutions by applying Leray-Schauder’s alternative and contraction mapping principle. Furthermore, the Hyers-Ulam stability of solutions is discussed and sufficient conditions for the stability are developed. Obtained results are supported by examples and illustrated in the last section.
Keywords: fractional derivative; fixed point theorem; fractional differential equation fractional derivative; fixed point theorem; fractional differential equation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Mahmudov, N.I.; Al-Khateeb, A. Stability, Existence and Uniqueness of Boundary Value Problems for a Coupled System of Fractional Differential Equations. Mathematics 2019, 7, 354.

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