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arXiv · 1908.03966

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

Faouzi Haddouchi
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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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Faouzi Haddouchi. 2019-08-11. Positive solutions of $p$-Laplacian fractional differential equations with fractional derivative boundary condition. https://arxiv.org/abs/1908.03966

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