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Leibniz type rule: $\Psi-$Hilfer fractional derivative

descriptionPublicationkeyboard_double_arrow_right Preprint 06 Nov 2018
Authors: Sousa, J. Vanterler da C.; de Oliveira, E. Capelas;

arXiv: 1811.02717

Leibniz type rule: $\Psi-$Hilfer fractional derivative

Abstract

In this paper, we present the Leibniz rule for the $\Psi-$Hilfer ($\Psi-$H) fractional derivative in two versions, the first in relation to $\Psi-$RL fractional derivative and the second in relation to the $\Psi-$H fractional derivative. In this sense, we present some particular cases of Leibniz rules and Leibniz type rules from the investigated case.

Comment: 16 pages

Keywords

Mathematics - Classical Analysis and ODEs, 26A33, 33A30

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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!
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