Existence Result for Nonlocal Boundary Value Problem of Fractional Order at Resonance with p-Laplacian Operator

摘要

The goal of this paper is to prove the existence of solutions to multi-point boundary value problem for a nonlinear fractional differential equation with p-Laplacian operator at resonance case. Our methodology are based on the famous coincidence degree theory due to the Belgian mathematician J.Mawhin. An example is included to show the importance and the applicability of this result.