Approximate Controllability of Ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay-Reference-Cited by-同舟云学术

Approximate Controllability of Ψ-Hilfer Fractional Neutral Differential Equation with Infinite Delay

Published:2023-07-11 Issue:7 Volume:7 Page:537
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Varun Bose Chandrabose Sindhu¹^ORCID,Udhayakumar Ramalingam¹^ORCID,Velmurugan Subramanian²^ORCID,Saradha Madhrubootham³^ORCID,Almarri Barakah⁴^ORCID

Affiliation:

1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, Tamil Nadu, India

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

3. Department of Mathematics, School of Applied Sciences, REVA University, Bangalore 560064, Karnataka, India

4. Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia

Abstract

In this paper, we explain the approximate controllability of Ψ-Hilfer fractional neutral differential equations with infinite delay. The outcome is demonstrated using the infinitesimal operator, fractional calculus, semigroup theory, and the Krasnoselskii’s fixed point theorem. To begin, we emphasise the presence of the mild solution and show that the Ψ-Hilfer fractional system is approximately controllable. Additionally, we present theoretical and practical examples.

Funder

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/7/537/pdf

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