Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations

Abstract

The most important objective of the current research is to establish some theoretical existence and attractivity results of solutions for a novel nonlinear fractional functional evolution equations (FFEE) of Caputo type. In this respect, we use a familiar Schauder’s fixed-point theorem (SFPT) related to the method of measure of noncompactness (MNC). Furthermore, we consider the operator $E$ and show that it is invariant and continuous. Moreover, we provide an application to show the capability of the achieved results.