Results on controllability for Sobolev type fractional differential equations of order $ 1 < r < 2 $ with finite delay-Reference-Cited by-同舟云学术

Results on controllability for Sobolev type fractional differential equations of order $ 1 < r < 2 $ with finite delay

Published:2022 Issue:6 Volume:7 Page:10215-10233
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ma Yong-Ki¹,Raja Marimuthu Mohan²,Nisar Kottakkaran Sooppy³,Shukla Anurag⁴,Vijayakumar Velusamy²

Affiliation:

1. Department of Applied Mathematics, Kongju National University, Chungcheongnam-do 32588, Republic of Korea

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

3. Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser 11991, Saudi Arabia

4. Department of Applied Science, Rajkiya Engineering College Kannauj, Kannauj 209732, India

Abstract

<abstract><p>In this article, exact controllability results for Sobolev fractional delay differential system of $ 1 < r < 2 $ are investigated. Fractional analysis, cosine and sine function operators, and Schauder's fixed point theorem are applied to verify the main results of this study. To begin, we use sufficient conditions to explore the controllability for fractional evolution differential system with finite delay. Lastly, an example is provided to illustrate the obtained theoretical results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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