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 121
- Downloads 0
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Study of Nonlocal Boundary Value Problems of Non-Integer Order Hybrid Differential Equations
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...