Sur des problèmes aux limites dans des espaces de Banach

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Date

2019

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جامعة غرداية

Abstract

In this thesis, we discussed the existence of solutions for a class of boundary value problem for nonlinear fractional differential equations. Our results have been obtained by the technique of measures of noncompactness and the coincidence degree theory which was first introduced by Mawhin.

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Fractional differential equations, boundary value problem, Caputo fractional derivative, Riemann-Liouville fractional derivative, measure of noncompactness, measures of weak noncompactness, Pettis integrable, Mönch’s fixed point theorem, Darbo fixed point theorem, multi-point, resonance, coincidence degree theory.

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