Analysis of the proportional Caputo-Fabrizio derivative
Authors
A. Akgul
- Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.
- Department of Mathematics, Art and Science Faculty, Siirt University, 56100 Siirt, Turkey.
- Department of Mathematics, Mathematics Research Center, Near East University, Near East Boulevard, PC: 99138, Nicosia/Mersin 10, Turkey.
D. Baleanu
- Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.
- Institute of Space Sciences , R76900 Magurele, Bucharest, Romania.
Abstract
This article examines a recently created proportional Caputo-Fabrizio derivative. We find multiple significant relationships between the beta function and this new derivative. Discreteization is applied to the new derivative. We consider stability analysis to define a stability requirement for the new derivative.
Share and Cite
ISRP Style
A. Akgul, D. Baleanu, Analysis of the proportional Caputo-Fabrizio derivative, Journal of Mathematics and Computer Science, 33 (2024), no. 4, 339--351
AMA Style
Akgul A., Baleanu D., Analysis of the proportional Caputo-Fabrizio derivative. J Math Comput SCI-JM. (2024); 33(4):339--351
Chicago/Turabian Style
Akgul, A., Baleanu, D.. "Analysis of the proportional Caputo-Fabrizio derivative." Journal of Mathematics and Computer Science, 33, no. 4 (2024): 339--351
Keywords
- Constant proportional Caputo-Fabrizio derivative
- stability analysis
- discretization
MSC
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