Nonlocal semilinear Ф-Caputo fractional evolution equation with a measure of noncompactness in Banach space

Abstract

The aim of this work is to study the existence of solutions for nonlocal fractional differential equations inclusions involving ?-Caputo fractional dirivative in Banach space. The proofs are based on the noncompactness measure method. As application, we give an example is given to illustrate the theoretical results.