A TYPE OF FRACTIONAL KINETIC EQUATIONS ASSOCIATED WITH THE (p, q)-EXTENDED t-HYPERGEOMETRIC and confluent HYPERGEOMETRIC FUNCTIONS

Owais Khan; Nabiullah Khan; Junesang Choi; Kottakkaran Sooppy Nisar

doi:10.22771/nfaa.2021.26.02.10

A TYPE OF FRACTIONAL KINETIC EQUATIONS ASSOCIATED WITH THE (p, q)-EXTENDED t-HYPERGEOMETRIC and confluent HYPERGEOMETRIC FUNCTIONS

Owais Khan
, Nabiullah Khan
, Junesang Choi
, Kottakkaran Sooppy Nisar

Mathematics

Integral University
Aligarh Muslim University
Dongguk University

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

10 Scopus citations

Abstract

During the last several decades, a great variety of fractional kinetic equations involving diverse special functions have been broadly and usefully employed in describing and solving several important problems of physics and astrophysics. In this paper, we aim to find solutions of a type of fractional kinetic equations associated with the (p, q)-extended T-hypergeometric function and the (p, q)-extended t-confluent hypergeometric function, by mainly using the Laplace transform. It is noted that the main employed techniques for this chosen type of fractional kinetic equations are Laplace transform, Sumudu transform, Laplace and Sumudu transforms, Laplace and Fourier transforms, P_x-transform, and an alternative method.

Original language	English
Pages (from-to)	381-392
Number of pages	12
Journal	Nonlinear Functional Analysis and Applications
Volume	26
Issue number	2
DOIs	https://doi.org/10.22771/nfaa.2021.26.02.10
State	Published - 2021

Keywords

(Formula presented)-function
(generalized) Mittag-Leffler functions
(p
(p
Fractional calculus
fractional kinetic equations
generalized M-series
H-function
Laplace transform
q)-extended τ-confluent hypergeometric function
q)-extended τ-hypergeometric function
Sumudu transform

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10.22771/nfaa.2021.26.02.10

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title = "A TYPE OF FRACTIONAL KINETIC EQUATIONS ASSOCIATED WITH THE (p, q)-EXTENDED t-HYPERGEOMETRIC and confluent HYPERGEOMETRIC FUNCTIONS",

abstract = "During the last several decades, a great variety of fractional kinetic equations involving diverse special functions have been broadly and usefully employed in describing and solving several important problems of physics and astrophysics. In this paper, we aim to find solutions of a type of fractional kinetic equations associated with the (p, q)-extended T-hypergeometric function and the (p, q)-extended t-confluent hypergeometric function, by mainly using the Laplace transform. It is noted that the main employed techniques for this chosen type of fractional kinetic equations are Laplace transform, Sumudu transform, Laplace and Sumudu transforms, Laplace and Fourier transforms, Px-transform, and an alternative method.",

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author = "Owais Khan and Nabiullah Khan and Junesang Choi and Nisar, \{Kottakkaran Sooppy\}",

year = "2021",

doi = "10.22771/nfaa.2021.26.02.10",

language = "English",

volume = "26",

pages = "381--392",

journal = "Nonlinear Functional Analysis and Applications",

issn = "1229-1595",

publisher = "Kyungnam University Press",

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AU - Khan, Owais

AU - Khan, Nabiullah

AU - Choi, Junesang

AU - Nisar, Kottakkaran Sooppy

PY - 2021

Y1 - 2021

N2 - During the last several decades, a great variety of fractional kinetic equations involving diverse special functions have been broadly and usefully employed in describing and solving several important problems of physics and astrophysics. In this paper, we aim to find solutions of a type of fractional kinetic equations associated with the (p, q)-extended T-hypergeometric function and the (p, q)-extended t-confluent hypergeometric function, by mainly using the Laplace transform. It is noted that the main employed techniques for this chosen type of fractional kinetic equations are Laplace transform, Sumudu transform, Laplace and Sumudu transforms, Laplace and Fourier transforms, Px-transform, and an alternative method.

AB - During the last several decades, a great variety of fractional kinetic equations involving diverse special functions have been broadly and usefully employed in describing and solving several important problems of physics and astrophysics. In this paper, we aim to find solutions of a type of fractional kinetic equations associated with the (p, q)-extended T-hypergeometric function and the (p, q)-extended t-confluent hypergeometric function, by mainly using the Laplace transform. It is noted that the main employed techniques for this chosen type of fractional kinetic equations are Laplace transform, Sumudu transform, Laplace and Sumudu transforms, Laplace and Fourier transforms, Px-transform, and an alternative method.

KW - (Formula presented)-function

KW - (generalized) Mittag-Leffler functions

KW - (p

KW - Fractional calculus

KW - fractional kinetic equations

KW - generalized M-series

KW - H-function

KW - Laplace transform

KW - q)-extended τ-confluent hypergeometric function

KW - q)-extended τ-hypergeometric function

KW - Sumudu transform

UR - https://www.scopus.com/pages/publications/85107684896

U2 - 10.22771/nfaa.2021.26.02.10

DO - 10.22771/nfaa.2021.26.02.10

M3 - Article

AN - SCOPUS:85107684896

SN - 1229-1595

VL - 26

SP - 381

EP - 392

JO - Nonlinear Functional Analysis and Applications

JF - Nonlinear Functional Analysis and Applications

IS - 2

ER -

A TYPE OF FRACTIONAL KINETIC EQUATIONS ASSOCIATED WITH THE (p, q)-EXTENDED t-HYPERGEOMETRIC and confluent HYPERGEOMETRIC FUNCTIONS

Abstract

Keywords

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