A new discussion concerning to exact controllability for fractional mixed Volterra-Fredholm integrodifferential equations of order $ {r} \in (1, 2) $ with impulses-Reference-Cited by-同舟云学术

A new discussion concerning to exact controllability for fractional mixed Volterra-Fredholm integrodifferential equations of order $ {r} \in (1, 2) $ with impulses

Published:2023 Issue:5 Volume:8 Page:10802-10821
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Raja Marimuthu Mohan¹,Vijayakumar Velusamy¹,Shukla Anurag²,Nisar Kottakkaran Sooppy³⁴,Albalawi Wedad⁵,Abdel-Aty Abdel-Haleem⁶⁷

Affiliation:

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

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

3. Department of Mathematics, College of Sciences and Humanities, Prince Sattam bin Abdulaziz University, Al Kharj, 16278, Saudi Arabia

4. School of Technology, Woxsen University- Hyderabad-502345, Telangana State, India

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

6. Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha 61922, Saudi Arabia

7. Physics Department, Faculty of Science, Al-Azhar University, Assiut, 71524, Egypt

Abstract

<abstract><p>In this article, we look into the important requirements for exact controllability of fractional impulsive differential systems of order $ 1 < r < 2 $. Definitions of mild solutions are given for fractional integrodifferential equations with impulses. In addition, applying fixed point methods, fractional derivatives, essential conditions, mixed Volterra-Fredholm integrodifferential type, for exact controllability of the solutions are produced. Lastly, a case study is supplied to show the illustration of the primary theorems.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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