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Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations

Author

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  • Wiyada Kumam
  • Mian Bahadur Zada
  • Kamal Shah
  • Rahmat Ali Khan

Abstract

We study sufficient conditions for existence of solutions to the coupled systems of higher order hybrid fractional differential equations with three-point boundary conditions. For this motive, we apply the coupled fixed point theorem of Krasnoselskii type to form adequate conditions for existence of solutions to the proposed system. We finish the paper with suitable illustrative example.

Suggested Citation

  • Wiyada Kumam & Mian Bahadur Zada & Kamal Shah & Rahmat Ali Khan, 2018. "Investigating a Coupled Hybrid System of Nonlinear Fractional Differential Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-12, March.
    • Handle: RePEc:hin:jnddns:5937572
    DOI: 10.1155/2018/5937572
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    Cited by:

    1. Khan, Aziz & Khan, Hasib & Gómez-Aguilar, J.F. & Abdeljawad, Thabet, 2019. "Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 422-427.

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