Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/7/2/125 |
| _version_ | 1797620885761294336 |
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| author | Jollet Truth Kubayi Sameerah Jamal |
| author_facet | Jollet Truth Kubayi Sameerah Jamal |
| author_sort | Jollet Truth Kubayi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T08:48:53Z |
| format | Article |
| id | doaj.art-72104e59d0914bea8cbd4714d7ee531c |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-11T08:48:53Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-72104e59d0914bea8cbd4714d7ee531c2023-11-16T20:36:20ZengMDPI AGFractal and Fractional2504-31102023-01-017212510.3390/fractalfract7020125Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution EquationsJollet Truth Kubayi0Sameerah Jamal1School of Mathematics, University of the Witwatersrand, Johannesburg 2001, South AfricaSchool of Mathematics, University of the Witwatersrand, Johannesburg 2001, South AfricaThis 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.https://www.mdpi.com/2504-3110/7/2/125time fractionalLie symmetryErdélyi–Kober |
| spellingShingle | Jollet Truth Kubayi Sameerah Jamal Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations Fractal and Fractional time fractional Lie symmetry Erdélyi–Kober |
| title | Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations |
| title_full | Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations |
| title_fullStr | Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations |
| title_full_unstemmed | Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations |
| title_short | Lie Symmetries and Third- and Fifth-Order Time-Fractional Polynomial Evolution Equations |
| title_sort | lie symmetries and third and fifth order time fractional polynomial evolution equations |
| topic | time fractional Lie symmetry Erdélyi–Kober |
| url | https://www.mdpi.com/2504-3110/7/2/125 |
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