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On Applications Of Coupled Fixed -Point Theorem In Hybrid Differential Equations Of Arbitrary Order

Author

Listed:
  • Muhammad Shoaib

    (Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan.)

  • Kamal Shah

    (Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan.)

  • Rahmat Ali Khan

    (Department of Mathematics, University of Malakand, Khyber Pakhtunkhwa, Pakistan.)

Abstract

In this manuscript, we use fixed point theorem due to Bashiri theory and develop sufficient conditions for existence of solution of coupled system of fractional differential equation in Banach space.

Suggested Citation

  • Muhammad Shoaib & Kamal Shah & Rahmat Ali Khan, 2017. "On Applications Of Coupled Fixed -Point Theorem In Hybrid Differential Equations Of Arbitrary Order," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 1(2), pages 17-21, November.
    • Handle: RePEc:zib:zbmsmk:v:1:y:2017:i:2:p:17-21
    DOI: 10.26480/msmk.02.2017.17.21
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    References listed on IDEAS

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    1. H. M. Srivastava & Xiao-Jun Yang & Dumitru Baleanu & Juan J. Nieto & Jordan Hristov, 2015. "Advances on Integrodifferential Equations and Transforms," Abstract and Applied Analysis, Hindawi, vol. 2015, pages 1-2, April.
    2. Shah, Kamal & Khalil, Hammad & Khan, Rahmat Ali, 2015. "Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 77(C), pages 240-246.
    3. Khalil, Hammad & Khan, Rahmat Ali & Shah, Kamal, 2015. "Corrigendum to “Investigation of positive solution to a coupled system of impulsive boundary value problems for nonlinear fractional order differential equations” [Chaos, Solitons & Fractals Volume 77," Chaos, Solitons & Fractals, Elsevier, vol. 78(C), pages 329-330.
    Full references (including those not matched with items on IDEAS)

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