Existence of positive solutions for fractional differential involving the discrete delta−nabla fractional boundary value problem with non-homogeneous boundary conditions
Journal Title: Invention Journal of Research Technology in Engineering & Management - Year 2019, Vol 3, Issue 5
Abstract
In this paper, we consider a nonlinear fractional boundary value problem with non-homogeneous boundary conditions: ( ( ( ))) ( ) ( ( )) ( ) ( ) ( ) ( ( )) = − = + − = + + − − + − − = − = + − − − − 0. 2 0, 2 , 1 1 0, , 2 2 1 1 2 b p t b p x t x x b x t x t h t f x t t T Where , 1, 2 , 0 1 2, 2 3, -1 = − + − + + b Z T b we invert the problem and construct and analyse the corresponding Green’s function. We obtain sufficient conditions for the existence of positive solutions for p − Laplacian fractional differential involving the discrete delta−nabla fractional boundary value problem with non-homogeneous boundary conditions.
Authors and Affiliations
Dong Qiang,
Keywords
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