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On an m-dimensional system of quantum inclusions by a new computational approach and heatmap.

Authors :
Ghaderi, Mehran
Rezapour, Shahram
Source :
Journal of Inequalities & Applications. 3/26/2024, Vol. 2024 Issue 1, p1-21. 21p.
Publication Year :
2024

Abstract

Recent research indicates the need for improved models of physical phenomena with multiple shocks. One of the newest methods is to use differential inclusions instead of differential equations. In this work, we intend to investigate the existence of solutions for an m-dimensional system of quantum differential inclusions. To ensure the existence of the solution of inclusions, researchers typically rely on the Arzela–Ascoli and Nadler's fixed point theorems. However, we have taken a different approach and utilized the endpoint technique of the fixed point theory to guarantee the solution's existence. This sets us apart from other researchers who have used different methods. For a better understanding of the issue and validation of the results, we presented numerical algorithms, tables, and some figures. The paper ends with an example. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2024
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
176265296
Full Text :
https://doi.org/10.1186/s13660-024-03125-1