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

Journal Title: Matrix Science Mathematic | Matriks Sains Matematik (MSMK) - Year 2017, Vol 1, Issue 1

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            ()1(,0)0( ), ()1(,0)0( ), (,()([ ))] (,( ), (( ))), , (,()([ ))] (,( ), (( ))), ,              I I ttIttttt ttIttttt D D where I  ]1,0[ ,   ]2,1(, and   )1,0(, . We use hybrid fixed point theorem due to Dhage and develop adequate results for existence of solutions to the proposed system of (FHDEs). We also provide a numerical problem to demonstrate our main results.

Authors and Affiliations

Sami na, Kamal Shah, Rahmat Ali Khan

Keywords

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  • EP ID EP263474
  • DOI 10.26480/msmk.01.2017.21.24
  • Views 81
  • Downloads 0

How To Cite

Sami na, Kamal Shah, Rahmat Ali Khan (2017). Study of Nonlocal Boundary Value Problems of Non-Integer Order Hybrid Differential Equations. Matrix Science Mathematic | Matriks Sains Matematik (MSMK), 1(1), 21-24. https://europub.co.uk/articles/-A-263474