Analysis of the proportional Caputo-Fabrizio derivative

Volume 33, Issue 4, pp 339--351 https://dx.doi.org/10.22436/jmcs.033.04.02

Publication Date: January 24, 2024 Submission Date: May 09, 2023 Revision Date: August 16, 2023 Accteptance Date: October 14, 2023

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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.

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Keywords

• Constant proportional Caputo-Fabrizio derivative
• stability analysis
• discretization

MSC

•  26A33
•  34A08
•  34K37
•  37M15

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