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Study of Nonlocal Boundary Value Problems of Non-Integer Order Hybrid Differential Equations

Author

Listed:
  • Samina

    (Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan)

  • Kamal Shah

    (Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan)

  • Rahmat Ali Khan

    (Department of Mathematics, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan)

Abstract

We study sufficient conditions for existence and uniqueness of solutions to boundary value problems (BVPs) for fractional hybrid differential equations(FHDEs) of the form where I=[0,1],σ,θ ∈(1,2] and δ,ω∈(0,1) . We use hybrid fixed point theorem due to Dhage and develop adequateresults for existence of solutions to the proposed system of (FHDEs). We also provide a numerical problem to demonstrate our main results.

Suggested Citation

  • Samina & Kamal Shah & Rahmat Ali Khan, 2017. "Study of Nonlocal Boundary Value Problems of Non-Integer Order Hybrid Differential Equations," Matrix Science Mathematic (MSMK), Zibeline International Publishing, vol. 1(1), pages 21-24, January.
    • Handle: RePEc:zib:zbmsmk:v:1:y:2017:i:1:p:21-24
    DOI: 10.26480/msmk.01.2017.21.24
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