Generalization of Katugampola fractional kinetic equation involving incomplete H-function

Document Type : Research Paper

Authors

1 Department of Mathematics, Malaviya National Institute of Technology Jaipur, India.

2 Department of HEAS (Mathematics), Rajasthan Technical University, India. Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon.

Abstract

In this article, Katugampola fractional kinetic equation (KE) has been expressed in terms of polynomial along with incomplete $H$-function, incomplete Meijer's $G$-function, incomplete Fox-Wright function and incomplete generalized hypergeometric function, weighing the novel significance of the fractional KE that appear in a variety of scientific and engineering scenarios. $\tau$-Laplace transform is used to solve the Kathugampola fractional KE. The obtained solutions have been presented with some real values and the simulation done via MATLAB. Furthermore, the numerical and graphical interpretations are also mentioned to illustrate the main results. Each of the obtained conclusions is of a general nature and is capable of generating the solutions to several fractional KE.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 03 April 2024

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History

  • Receive Date: 27 June 2023
  • Revise Date: 19 January 2024
  • Accept Date: 09 February 2024

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