%0 Journal Article %T Nonlocal Conformable-Fractional Differential Equations with a Measure of Noncompactness in Banach Spaces %A Bouaouid %A Mohamed %A Hannabou %A Mohamed %A Hilal %A Khalid %J - %D 2020 %R https://doi.org/10.1155/2020/5615080 %X This paper deals with the existence of mild solutions for the following Cauchy problem: , where is the so-called conformable fractional derivative. The linear part A is the infinitesimal generator of a uniformly continuous semigroup on a Banach space X, f and are given functions. The main result is proved by using the Darbo¨CSadovskii fixed point theorem without assuming the compactness of the family and the Lipshitz condition on the nonlocal part %U https://www.hindawi.com/journals/jmath/2020/5615080/