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arXiv · 1811.10706

On the existence and uniqueness of solution for fractional differential equations with nonlocal multi-point boundary conditions

Faouzi Haddouchi
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Abstract

This paper presents some sufficient conditions for the existence of solutions of fractional differential equation with nonlocal multi-point boundary conditions involving Caputo fractional derivative and integral boundary conditions. Our analysis relies on the Banach contraction principle, Boyd and Wong fixed point theorem, Leray-Schauder nonlinear alternative. Finally, examples are provided to illustrate our main results.

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Faouzi Haddouchi. 2018-11-26. On the existence and uniqueness of solution for fractional differential equations with nonlocal multi-point boundary conditions. https://arxiv.org/abs/1811.10706

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