Series Solutions of High-Dimensional Fractional Differential Equations
In the present paper, the series solutions and the approximate solutions of the time–space fractional differential equations are obtained using two different analytical methods. One is the homotopy perturbation Sumudu transform method (HPSTM), and another is the variational iteration Laplace transfo...
| Published in: | Mathematics |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-08-01
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| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/9/17/2021 |
| Summary: | In the present paper, the series solutions and the approximate solutions of the time–space fractional differential equations are obtained using two different analytical methods. One is the homotopy perturbation Sumudu transform method (HPSTM), and another is the variational iteration Laplace transform method (VILTM). It is observed that the approximate solutions are very close to the exact solutions. The solutions obtained are very useful and significant to analyze many phenomena, and the solutions have not been reported in previous literature. The salient feature of this work is the graphical presentations of the third approximate solutions for different values of order <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>. |
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| ISSN: | 2227-7390 |