Pseudo asymptotically periodic solutions for fractional integro-differential neutral equations

TL;DR

This paper investigates the existence and uniqueness of pseudo asymptotically periodic solutions for fractional integro-differential neutral equations, providing theoretical results and an illustrative example.

Contribution

It introduces new conditions for the existence and uniqueness of pseudo asymptotically periodic solutions in fractional neutral equations.

Findings

Established existence and uniqueness theorems.

Provided an example demonstrating the application.

Extended the theory of fractional differential equations.

Abstract

In this paper, we study the existence and uniqueness of pseudo $S$-asymptotically $\omega$-periodic mild solutions of class $r$ for fractional integro-differential neutral equations. An example is presented to illustrate the application of the abstract results.