Approximate Controllability of Neutral Differential Systems with Fractional Deformable Derivatives-Reference-Cited by-同舟云学术

Approximate Controllability of Neutral Differential Systems with Fractional Deformable Derivatives

Published:2023-10-08 Issue:10 Volume:7 Page:741
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Raju Sreedharan¹,Sevugan Raja Balachandar¹^ORCID,Udhayakumar Ramalingam²^ORCID,AlNemer Ghada³^ORCID,Arunachalam Umamaheswaran¹

Affiliation:

1. Department of Mathematics, School of Arts, Sciences, Humanities and Education, SASTRA Deemed to be University, Thanjavur 613401, India

2. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India

3. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

Abstract

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.

Funder

Princess Nourah bint Abdulrahman University Researchers Supporting Project

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/10/741/pdf

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