A Grammian matrix and controllability study of fractional delay integro-differential Langevin systems-Reference-Cited by-同舟云学术

A Grammian matrix and controllability study of fractional delay integro-differential Langevin systems

Published:2024 Issue:6 Volume:9 Page:15469-15485
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Hammad Hasanen A.¹²³,Dafaalla Mohammed E.¹⁴,Nisar Kottakkaran Sooppy²⁵

Affiliation:

1. Department of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi Arabia

2. Department of Mathematics, Saveetha School of Engineering, SIMATS, Saveetha University, Chennai 602105, India

3. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt

4. Department of Mathematics, College of Science, University of Kordofan, Sudan

5. Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al Kharj, 11942, Saudi Arabia

Abstract

<abstract><p>This study focused on introducing a fresh model of fractional operators incorporating multiple delays, termed fractional integro-differential Langevin equations with multiple delays. Additionally, the research evaluated the relative controllability of this model within finite-dimensional spaces. Employing fixed-point theory yields the desired outcomes, with the controllability assessment facilitated by Schauder's fixed point and the Grammian matrix defined through the Mittag-Leffler matrix function. Validation of the results was conducted through an application.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

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