Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions-Reference-Cited by-同舟云学术

Analysis on Controllability Results for Impulsive Neutral Hilfer Fractional Differential Equations with Nonlocal Conditions

Published:2023-02-21 Issue:5 Volume:11 Page:1071
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Linitda Thitiporn¹,Karthikeyan Kulandhaivel²,Sekar Palanisamy Raja³,Sitthiwirattham Thanin¹^ORCID

Affiliation:

1. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand

2. Department of Mathematics, KPR Institute of Engineering and Technology, Coimbatore 641407, Tamil Nadu, India

3. Department of Mathematics, K.S.R. College of Engineering, Tiruchengode 637215, Tamilnadu, India

Abstract

In this paper, we investigate the controllability of the system with non-local conditions. The existence of a mild solution is established. We obtain the results by using resolvent operators functions, the Hausdorff measure of non-compactness, and Monch’s fixed point theorem. We also present an example, in order to elucidate one of the results discussed.

Funder

National Science, Research, and Innovation Fund

Suan Dusit University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/5/1071/pdf

Reference32 articles.

1. Podlubny, I. (1999). Fractional Differential Equations, Academic Press.

2. On the concept of solution for fractional differential equation with uncertanity;Agarwal;Nonlinear Anal.,2010