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On a Coupled System of Fractional Differential Equations with Four Point Integral Boundary Conditions

Author

Listed:
  • Nazim I Mahmudov

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

  • Sameer Bawaneh

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

  • Areen Al-Khateeb

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

Abstract

The study is on the existence of the solution for a coupled system of fractional differential equations with integral boundary conditions. The first result will address the existence and uniqueness of solutions for the proposed problem and it is based on the contraction mapping principle. Secondly, by using Leray–Schauder’s alternative we manage to prove the existence of solutions. Finally, the conclusion is confirmed and supported by examples.

Suggested Citation

  • Nazim I Mahmudov & Sameer Bawaneh & Areen Al-Khateeb, 2019. "On a Coupled System of Fractional Differential Equations with Four Point Integral Boundary Conditions," Mathematics, MDPI, vol. 7(3), pages 1-14, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:279-:d:215286
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    References listed on IDEAS

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    1. Ge, Zheng-Ming & Ou, Chan-Yi, 2008. "Chaos synchronization of fractional order modified duffing systems with parameters excited by a chaotic signal," Chaos, Solitons & Fractals, Elsevier, vol. 35(4), pages 705-717.
    2. Ge, Zheng-Ming & Jhuang, Wei-Ren, 2007. "Chaos, control and synchronization of a fractional order rotational mechanical system with a centrifugal governor," Chaos, Solitons & Fractals, Elsevier, vol. 33(1), pages 270-289.
    3. 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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