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

Author

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  • Nazim I Mahmudov

    (Eastern Mediterranean University, Gazimagusa 99628, T.R. North Cyprus, Mersin 10, Turkey)

  • Areen Al-Khateeb

    (Eastern Mediterranean University, Gazimagusa 99628, T.R. North Cyprus, Mersin 10, Turkey)

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.

Suggested Citation

  • Nazim I Mahmudov & Areen Al-Khateeb, 2019. "Stability, Existence and Uniqueness of Boundary Value Problems for a Coupled System of Fractional Differential Equations," Mathematics, MDPI, vol. 7(4), pages 1-12, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:354-:d:223375
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    References listed on IDEAS

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    1. Ahmad, Bashir & K. Ntouyas, Sotiris, 2015. "Existence results for a coupled system of Caputo type sequential fractional differential equations with nonlocal integral boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 266(C), pages 615-622.
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