Similarity Reductions, Power Series Solutions, and Conservation Laws of the Time-Fractional Mikhailov–Novikov–Wang System
Abstract
:1. Introduction
2. Definition and Properties of the Riemann–Liouville Fractional Derivative
3. Lie Symmetry Analysis for the Time-Fractional Partial Differential System
4. Lie Symmetry Analysis and Reduction
- Case 1:
- Case 2:
5. Power Series Solutions and Convergence Analysis
6. Conservation Laws of the Time-Fractional MNW System
7. Graphical Illustrations of the Power Series Solutions
8. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Abbreviations
MNW | Mikhailov–Novikov–Wang |
FPDE | fractional partial differential equation |
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Jiang, X.; Li, L. Similarity Reductions, Power Series Solutions, and Conservation Laws of the Time-Fractional Mikhailov–Novikov–Wang System. Fractal Fract. 2023, 7, 457. https://doi.org/10.3390/fractalfract7060457
Jiang X, Li L. Similarity Reductions, Power Series Solutions, and Conservation Laws of the Time-Fractional Mikhailov–Novikov–Wang System. Fractal and Fractional. 2023; 7(6):457. https://doi.org/10.3390/fractalfract7060457
Chicago/Turabian StyleJiang, Xinxin, and Lianzhong Li. 2023. "Similarity Reductions, Power Series Solutions, and Conservation Laws of the Time-Fractional Mikhailov–Novikov–Wang System" Fractal and Fractional 7, no. 6: 457. https://doi.org/10.3390/fractalfract7060457