Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function

Umar Muhammad Abubakar

doi:10.53570/jnt.1060267

EN

Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function

Abstract

The main objective of this paper is to use the newly proposed $(p,q;l)$-extended beta function to introduce the $(p,q;l)$-extended $τ$-Gauss hypergeometric and the $(p,q;l)$-extended $τ$-confluent hypergeometric functions with some of their properties, such as the Laplace-type and the Euler-type integral formulas. Another is to apply them to fractional kinetic equations that appear in astrophysics and physics using the Laplace transform method.

Keywords

Beta function, hypergeometric function, fractional calculus, pochhemmer symbol, integral transforms

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Umar Muhammad Abubakar ^*
0000-0003-3935-4829
Nigeria

Publication Date

March 31, 2022

Submission Date

January 19, 2022

Acceptance Date

March 28, 2022

Published in Issue

Year 2022 Number: 38

DOI

https://doi.org/10.53570/jnt.1060267

IZ

https://izlik.org/JA36AZ54ME

APA

Abubakar, U. M. (2022). Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function. Journal of New Theory, 38, 25-33. https://doi.org/10.53570/jnt.1060267

AMA

1.Abubakar UM. Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function. JNT. 2022;(38):25-33. doi:10.53570/jnt.1060267

Chicago

Abubakar, Umar Muhammad. 2022. “Solutions of Fractional Kinetic Equations Using the $(p,q;L)$-Extended τ -Gauss Hypergeometric Function”. Journal of New Theory, nos. 38: 25-33. https://doi.org/10.53570/jnt.1060267.

EndNote

Abubakar UM (March 1, 2022) Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function. Journal of New Theory 38 25–33.

IEEE

[1]U. M. Abubakar, “Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function”, JNT, no. 38, pp. 25–33, Mar. 2022, doi: 10.53570/jnt.1060267.

ISNAD

Abubakar, Umar Muhammad. “Solutions of Fractional Kinetic Equations Using the $(p,q;L)$-Extended τ -Gauss Hypergeometric Function”. Journal of New Theory. 38 (March 1, 2022): 25-33. https://doi.org/10.53570/jnt.1060267.

JAMA

1.Abubakar UM. Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function. JNT. 2022;:25–33.

MLA

Abubakar, Umar Muhammad. “Solutions of Fractional Kinetic Equations Using the $(p,q;L)$-Extended τ -Gauss Hypergeometric Function”. Journal of New Theory, no. 38, Mar. 2022, pp. 25-33, doi:10.53570/jnt.1060267.

Vancouver

1.Umar Muhammad Abubakar. Solutions of Fractional Kinetic Equations using the $(p,q;l)$-Extended τ -Gauss Hypergeometric Function. JNT. 2022 Mar. 1;(38):25-33. doi:10.53570/jnt.1060267

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