Measure of Noncompactness for Nonlinear Hilfer Fractional Differential Equation in Banach Spaces

Year 2019, Volume: 1 Issue: 2, 55 - 67, 16.10.2019

Abdellatif Boutiara , Maamar Benbachır , Kaddour Guerbati

Abstract

This paper deals with nonlinear fractional differential equation with boundary value problem
conditions. We investigate the existence of solutions in Banach spaces with Hilfer derivative.
To obtain such result we apply Monch's fixed point theorem and the technique of measures of
noncompactness. An example illustrating the theory is given.

Keywords

Fractional differential equation, Hilfer fractional derivative, Kuratowski measures of noncompactness

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