Application of a matrix Mittag-Leffler function to the fractional partial integro-differential equation in \(\mathbb{R}^n\)
Authors
J. Beaudin
- Department of Mathematics and Computer Science, Brandon University, Brandon, Manitoba, R7A 6A9, Canada.
C. Li
- Department of Mathematics and Computer Science, Brandon University, Brandon, Manitoba, R7A 6A9, Canada.
Abstract
In this paper, we investigate the uniqueness of solutions to a new fractional partial integro-differential equation (abbreviated FPIDE) with a boundary condition by using a recently established matrix Mittag-Leffler function, Banach's contractive principle, and Babenko's approach. Furthermore, we supply an example that employs the results derived in the paper via a python code which computes an approximate value to the matrix Mittag-Leffler function.
Share and Cite
ISRP Style
J. Beaudin, C. Li, Application of a matrix Mittag-Leffler function to the fractional partial integro-differential equation in \(\mathbb{R}^n\), Journal of Mathematics and Computer Science, 33 (2024), no. 4, 420--430
AMA Style
Beaudin J., Li C., Application of a matrix Mittag-Leffler function to the fractional partial integro-differential equation in \(\mathbb{R}^n\). J Math Comput SCI-JM. (2024); 33(4):420--430
Chicago/Turabian Style
Beaudin, J., Li, C.. "Application of a matrix Mittag-Leffler function to the fractional partial integro-differential equation in \(\mathbb{R}^n\)." Journal of Mathematics and Computer Science, 33, no. 4 (2024): 420--430
Keywords
- Banach's contractive principle
- matrix Mittag-Leffler function
- Babenko's approach
- implicit integral equation
MSC
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