Positive Solutions for a Fractional Boundary Value Problem with Lidstone Like Boundary Conditions
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Authors: J. T. NEUGEBAUER AND A. G. WINGO
DOI: 10.46793/KgJMat2402.309N
Abstract:
We consider a higher order fractional boundary value problem with Lidstone like boundary conditions, where the nonlinearity is an L1-Carathèodory function. We first consider the lower order problem. Then, by using a convolution to construct the Green’s function for the higher order problem, we are able to apply a recent fixed point theorem to show the existence of positive solutions of the boundary value problem.
Keywords:
Fractional boundary value problem, Fixed point
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