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Some incomplete Riemann-Liouville fractional derivative operators

Authors: Menon, Mudita; Mittal, Ekta; Gupta, Rajni;

Some incomplete Riemann-Liouville fractional derivative operators

Abstract

Several investigations were done by many researchers on extended fractional derivatives operators using different kinds of extended Beta functions (see, e.g.,([4],[7],[8],[18],[20]), and references therein). In this sequel, we develop some new properties on incomplete extended Riemann-Liouville fractional derivative operators with the help of new incomplete extended Beta functions. Other than this, we also present the above defined new incomplete extended Beta function, graphically within a wide range of assumed parameters. Publisher's Version

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Keywords

Incomplete generalized hypergeometric functions, Incomplete Pochhammer ratio, Incomplete beta function, Riemann-Liouville fractional derivative, Incomplete gamma function

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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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