Approximate Controllability of Neutral Differential Systems with Fractional Deformable Derivatives

This article deals with the existence and uniqueness of solutions, as well as the approximate controllability of fractional neutral differential equations (ACFNDEs) with deformable derivatives. The findings are achieved using Banach's, Krasnoselskii's, and Schauder's fixed-point theorems and semigroup theory. Three numerical examples are used to illustrate the application of the theories discussed in the conclusion.

Automated summary

This article focuses on the existence, uniqueness, and approximate controllability of solutions for fractional neutral differential equations with deformable derivatives. The findings are achieved through the application of Banach's, Krasnoselskii's, and Schauder's fixed-point theorems, as well as semigroup theory. Three numerical examples are provided to illustrate the practical application of the discussed theories.