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Advances in Difference Equations
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Advances in Difference Equations
Article
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Advances in Difference Equations
Article . 2021
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https://dx.doi.org/10.60692/r8...
Other literature type . 2021
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Other literature type . 2021
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Analysis and applications of the proportional Caputo derivative

تحليل وتطبيقات مشتق كابوتو النسبي
Authors: Ali Akgül; Dumitru Băleanu;

Analysis and applications of the proportional Caputo derivative

Abstract

AbstractIn 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.

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

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    Top 10%
    influence
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Top 10%
Top 10%
Top 10%
Green
gold