Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear quantum difference equations
Authors
A. E. Hamza
- Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah, 21589, Saudi Arabia.
M. A. Alghamdi
- Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah, 21589, Saudi Arabia.
S. A. Alasmi
- Department of Mathematics and Statistics, College of Science, University of Jeddah, Jeddah, 21589, Saudi Arabia.
Abstract
In this paper, we investigate Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear quantum difference equations associated with a general quantum difference operator. This operator includes as special cases Jackson \(q\)-difference and Hahn difference operators. At the end of the paper, an illustrative example is given to show the
applicability of the theoretical results.
Share and Cite
ISRP Style
A. E. Hamza, M. A. Alghamdi, S. A. Alasmi, Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear quantum difference equations, Journal of Mathematics and Computer Science, 35 (2024), no. 3, 336--347
AMA Style
Hamza A. E., Alghamdi M. A., Alasmi S. A., Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear quantum difference equations. J Math Comput SCI-JM. (2024); 35(3):336--347
Chicago/Turabian Style
Hamza, A. E., Alghamdi, M. A., Alasmi, S. A.. "Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear quantum difference equations." Journal of Mathematics and Computer Science, 35, no. 3 (2024): 336--347
Keywords
- Hyers-Ulam stability
- Hyers-Ulam-Rassias stability
MSC
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