Positive solutions of p-Laplacian fractional differential equations with fractional derivative boundary condition

2019/08/11 by Haddouchi, Faouzi
#26A33 #34A08 #34B18 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1908.03966

Abstract

In this paper, we show some results about the existence and the uniqueness of the positive solution for a p-Laplacian fractional differential equations with fractional derivative boundary condition. Our results are based on Krasnosel'skii's fixed point theorem, the nonlinear alternative of Leray-Schauder type and contraction mapping principle. Three examples are given to illustrate the applicability of our main results.

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