Analysis and Applications of the Proportional Caputo Derivative
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Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
Open Access Color
GOLD
Green Open Access
Yes
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Publicly Funded
No
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Impulse
Top 10%
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Top 10%
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Top 10%
Abstract
In this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between this new derivative and beta function. We discretize the new derivative. We investigate the stability and obtain a stability condition for the new derivative.
Description
Keywords
Financial economics, Second derivative, Economics, Generalizations of the derivative, Matrix Inequalities and Geometric Means, Mathematical analysis, Orthogonal Polynomials, Differential equation, Machine learning, QA1-939, FOS: Mathematics, Stability (learning theory), Anomalous Diffusion Modeling and Analysis, Applied Mathematics, Partial differential equation, Applied mathematics, Partial derivative, Computer science, Fractional Derivatives, Modeling and Simulation, Derivative (finance), Physical Sciences, Mathematics, Ordinary differential equation, Discretization, Fractional ordinary differential equations, Fractional derivatives and integrals
Fields of Science
01 natural sciences, 0101 mathematics
Citation
Akgül, Ali; Baleanu, Dumitru (2021). "Analysis and applications of the proportional Caputo derivative", Advances in Difference Equations, Vol. 2021, No. 1.
WoS Q
Q1
Scopus Q
OpenCitations Citation Count
17
Source
Advances in Difference Equations
Volume
2021
Issue
1
Start Page
End Page
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Citations
Scopus : 33
Captures
Mendeley Readers : 5
SCOPUS™ Citations
35
checked on Feb 24, 2026
Web of Science™ Citations
31
checked on Feb 24, 2026
Page Views
2
checked on Feb 24, 2026
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