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Weak Solutions for Implicit Hilfer Fractional Differential Equations With Not Instantaneous Impulses

Commun. Math. Anal.
Volume 20, Number 2 (2017), 48 - 61

Weak Solutions for Implicit Hilfer Fractional Differential Equations With Not Instantaneous Impulses

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Abstract

In this paper, we present results concerning the existence of weak solutions for some functional implicit Hilfer fractional differential equations with not instantaneous impulses in Banach spaces. The main results are proved by applying M\"inch's fixed point theorem associated with the technique of measure of weak non compactness, and we present an illustrative example.