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 125
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