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Volume 7
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Article

Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations

by
Jollet Truth Kubayi
and
Sameerah Jamal
*
School of Mathematics, University of the Witwatersrand, Johannesburg 2001, South Africa
*
Author to whom correspondence should be addressed.
Fractal Fract. 2023, 7(2), 125; https://doi.org/10.3390/fractalfract7020125
Submission received: 7 January 2023 / Revised: 25 January 2023 / Accepted: 28 January 2023 / Published: 29 January 2023
(This article belongs to the Special Issue Advances in Fractional Order Derivatives and Their Applications)
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Abstract

This paper is concerned with a class of ten time-fractional polynomial evolution equations. The one-parameter Lie point symmetries of these equations are found and the symmetry reductions are provided. These reduced equations are transformed into nonlinear ordinary differential equations, which are challenging to solve by conventional methods. We search for power series solutions and demonstrate the convergence properties of such a solution.
Keywords: time fractional; Lie symmetry; Erdélyi–Kober time fractional; Lie symmetry; Erdélyi–Kober

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MDPI and ACS Style

Kubayi, J.T.; Jamal, S. Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations. Fractal Fract. 2023, 7, 125. https://doi.org/10.3390/fractalfract7020125

AMA Style

Kubayi JT, Jamal S. Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations. Fractal and Fractional. 2023; 7(2):125. https://doi.org/10.3390/fractalfract7020125

Chicago/Turabian Style

Kubayi, Jollet Truth, and Sameerah Jamal. 2023. "Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations" Fractal and Fractional 7, no. 2: 125. https://doi.org/10.3390/fractalfract7020125

APA Style

Kubayi, J. T., & Jamal, S. (2023). Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations. Fractal and Fractional, 7(2), 125. https://doi.org/10.3390/fractalfract7020125

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