Certain fractional kinetic equations involving generalized k-Bessel function

Gurmej Singh; Praveen Agarwal; Mehar Chand; Shilpi Jain

doi:10.1016/j.trmi.2018.03.001

Certain fractional kinetic equations involving generalized k-Bessel function

Gurmej Singh
, Praveen Agarwal
, Mehar Chand
, Shilpi Jain

Singhania University
Mata Sahib Kaur Girls College
International Center for Basic and Applied Sciences
International College of Engineering
Guru Kashi University
Poornima College of Engineering

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

29 Scopus citations

Abstract

We develop a new and further generalized form of the fractional kinetic equation involving 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)	559-570
Number of pages	12
Journal	Transactions of A. Razmadze Mathematical Institute
Volume	172
Issue number	3
DOIs	https://doi.org/10.1016/j.trmi.2018.03.001
State	Published - Dec 2018
Externally published	Yes

Keywords

Fractional calculus
Fractional derivative
Fractional integration
Laplace transform
Pochhammer symbol
k-Bessel function

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10.1016/j.trmi.2018.03.001

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title = "Certain fractional kinetic equations involving generalized k-Bessel function",

abstract = "We develop a new and further generalized form of the fractional kinetic equation involving 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 calculus, Fractional derivative, Fractional integration, Laplace transform, Pochhammer symbol, k-Bessel function",

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

note = "Publisher Copyright: {\textcopyright} 2018 Ivane Javakhishvili Tbilisi State University",

year = "2018",

month = dec,

doi = "10.1016/j.trmi.2018.03.001",

language = "English",

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TY - JOUR

T1 - Certain fractional kinetic equations involving generalized k-Bessel function

AU - Singh, Gurmej

AU - Agarwal, Praveen

AU - Chand, Mehar

AU - Jain, Shilpi

PY - 2018/12

Y1 - 2018/12

N2 - We develop a new and further generalized form of the fractional kinetic equation involving 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 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 calculus

KW - Fractional derivative

KW - Fractional integration

KW - Laplace transform

KW - Pochhammer symbol

KW - k-Bessel function

UR - https://www.scopus.com/pages/publications/85051038583

U2 - 10.1016/j.trmi.2018.03.001

DO - 10.1016/j.trmi.2018.03.001

M3 - Article

AN - SCOPUS:85051038583

SN - 2346-8092

VL - 172

SP - 559

EP - 570

JO - Transactions of A. Razmadze Mathematical Institute

JF - Transactions of A. Razmadze Mathematical Institute

IS - 3

ER -

Certain fractional kinetic equations involving generalized k-Bessel function

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Keywords

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