Time-Fractional Differential Equations with an Approximate Solution

Authors

  • Lamees K. Alzaki Department of Mathematics, Faculty of Education for Pure Science, University of Thi-Qar, Nasiriyah, Iraq.
  • Hassan Kamil Jassim Department of Mathematics, Faculty of Education for Pure Science, University of Thi-Qar, Nasiriyah, Iraq.

Keywords:

Fractional differential equations, Homotopy perturbation method, Sumudu transform

Abstract

This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP) with the Caputo fractional operator (CF) to solve time fractional linear and nonlinear partial differential equations. The Sumudu transform (ST) and the homotopy perturbation technique (HP) are combined in this approach. In the Caputo definition, the fractional derivative is defined. In general, the method is straightforward to execute and yields good results. There are some examples offered to demonstrate the technique's validity and use.

Dimensions

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Published

2022-08-18

How to Cite

Time-Fractional Differential Equations with an Approximate Solution. (2022). Journal of the Nigerian Society of Physical Sciences, 4(3), 818. https://doi.org/10.46481/jnsps.2022.818

Issue

Volume 4, Issue 3, August 2022

Section

Original Research
Copyright & Licensing

Copyright (c) 2022 Lamees K. Alzaki, Hassan Kamil Jassim

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Time-Fractional Differential Equations with an Approximate Solution. (2022). Journal of the Nigerian Society of Physical Sciences, 4(3), 818. https://doi.org/10.46481/jnsps.2022.818