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Discrete & Continuous Dynamical Systems - S
Article . 2020 . Peer-reviewed
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zbMATH Open
Article . 2020
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Generalized fractional derivatives and Laplace transform

Authors: Jarad, Fahd; Abdeljawad, Thabet;

Generalized fractional derivatives and Laplace transform

Abstract

The authors consider a general form of fractional derivative; namely $g$-fractional derivatives, where the kernel $g$ is a function on the space of absolutely continuous functions. They generalized the Laplace transform in order to be applicable for $g$-fractional derivatives and apply this transform to solve some fractional differential equations.

Keywords

generalized Laplace transform, Laplace transform, Fractional derivatives and integrals, generalized fractional derivatives, Fractional ordinary differential equations, generalized Caputo fractional derivative

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selected citations
These citations are derived from selected sources.
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!
202
Top 1%
Top 1%
Top 0.1%
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