Nonlocal semilinear $\Phi$-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 semilinear fractional evolution inclusions involving $\Phi$-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.