A survey on fuzzy fractional differential and optimal control nonlocal evolution equations

TL;DR

This survey reviews recent advances in fuzzy fractional differential equations, focusing on controllability, optimal control, and feedback control in various fractional evolution equations within Banach spaces.

Contribution

It compiles and discusses key results on controllability and optimal control for nonlinear fuzzy fractional differential equations with nonlocal conditions.

Findings

Overview of controllability and approximate controllability results

Discussion of optimal control and feedback control strategies

Analysis of optimality and relaxation in control problems

Abstract

We survey some representative results on fuzzy fractional differential equations, controllability, approximate controllability, optimal control, and optimal feedback control for several different kinds of fractional evolution equations. Optimality and relaxation of multiple control problems, described by nonlinear fractional differential equations with nonlocal control conditions in Banach spaces, are considered.