Certain fractional kinetic equations involving the product of generalized k-Bessel function

Praveen Agarwal; Mehar Chand; Gurmej Singh

doi:10.1016/j.aej.2016.07.025

Certain fractional kinetic equations involving the product of generalized k-Bessel function

Praveen Agarwal
, Mehar Chand
, Gurmej Singh

International College of Engineering
Fateh College for Women
Mata Sahib Kaur Girls College
Singhania University

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

We develop a new and further generalized form of the fractional kinetic equation involving the product of the generalized k-Bessel function. The manifold generality of the generalized k-Bessel function is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.

Original language	English
Pages (from-to)	3053-3059
Number of pages	7
Journal	Alexandria Engineering Journal
Volume	55
Issue number	4
DOIs	https://doi.org/10.1016/j.aej.2016.07.025
State	Published - 1 Dec 2016
Externally published	Yes

Keywords

Fractional kinetic equations
Generalized hypergeometric function
k-Bessel function
k-Pochhammer symbol
k-gamma function

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10.1016/j.aej.2016.07.025

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abstract = "We develop a new and further generalized form of the fractional kinetic equation involving the product of the generalized k-Bessel function. The manifold generality of the generalized k-Bessel function is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.",

keywords = "Fractional kinetic equations, Generalized hypergeometric function, k-Bessel function, k-Pochhammer symbol, k-gamma function",

author = "Praveen Agarwal and Mehar Chand and Gurmej Singh",

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AU - Agarwal, Praveen

AU - Chand, Mehar

AU - Singh, Gurmej

PY - 2016/12/1

Y1 - 2016/12/1

N2 - We develop a new and further generalized form of the fractional kinetic equation involving the product of the generalized k-Bessel function. The manifold generality of the generalized k-Bessel function is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.

AB - We develop a new and further generalized form of the fractional kinetic equation involving the product of the generalized k-Bessel function. The manifold generality of the generalized k-Bessel function is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.

KW - Fractional kinetic equations

KW - Generalized hypergeometric function

KW - k-Bessel function

KW - k-Pochhammer symbol

KW - k-gamma function

UR - https://www.scopus.com/pages/publications/85008661429

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DO - 10.1016/j.aej.2016.07.025

M3 - Article

AN - SCOPUS:85008661429

SN - 1110-0168

VL - 55

SP - 3053

EP - 3059

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

IS - 4

ER -

Certain fractional kinetic equations involving the product of generalized k-Bessel function

Abstract

Keywords

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