The generalized Riemann-Liouville k-fractional derivative and its properties

Shilpi Jain; Praveen Agarwal; Parik Laxmi

doi:10.1016/B978-0-44-336484-6.00017-5

The generalized Riemann-Liouville k-fractional derivative and its properties

Shilpi Jain
, Praveen Agarwal
, Parik Laxmi

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
International College of Engineering
Poornima University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

In this chapter, we investigate the generalization of the Riemann-Liouville k-fractional derivative operator by using the k-Mittag-Leffler function with two parameters along with particular characteristics, such as the Mellin transform and generating functions. The Riemann-Liouville k-fractional derivatives for the particular functions are also derived.

Original language	English
Title of host publication	Extended Hypergeometric Functions and Orthogonal Polynomials
Publisher	Elsevier
Pages	135-147
Number of pages	13
ISBN (Electronic)	9780443364846
ISBN (Print)	9780443364853
DOIs	https://doi.org/10.1016/B978-0-44-336484-6.00017-5
State	Published - 1 Jan 2026

Keywords

Mellin transform
Riemann-Liouville k-fractional derivative operator
k-Pochhammer symbol
k-beta function
k-gamma function
k-hypergeometric function

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10.1016/B978-0-44-336484-6.00017-5

Cite this

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KW - Riemann-Liouville k-fractional derivative operator

KW - k-Pochhammer symbol

KW - k-beta function

KW - k-gamma function

KW - k-hypergeometric function

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ER -

The generalized Riemann-Liouville k-fractional derivative and its properties

Abstract

Keywords

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