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

Samina, Kamal Shah () and Rahmat Ali Khan
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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

Matrix Science Mathematic (MSMK), 2017, vol. 1, issue 1, 21-24

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.

Keywords: Boundary value problems; Coupled system; Fractional differential equations; Existence and Uniqueness of solutions; Hybrid fixed point theorems. AMS Subject Classification: 34A08; 35R11 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:zib:zbmsmk:v:1:y:2017:i:1:p:21-24

DOI: 10.26480/msmk.01.2017.21.24

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