Abstract
In this paper, the Lie symmetry group method is employed to study the time fractional generalized advection–diffusion equation. The Lie symmetry algebra classification is established by considering three different cases. Next, the similarity reductions are performed, and some solutions including invariants are derived. Finally, conservation laws are successfully constructed using the symmetry generators.
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The authors would like to thank the anonymous reviewers for their careful reading of our manuscript and their insightful comments and suggestions.
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Communicated by Vasily E. Tarasov.
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Rahioui, M., El Kinani, E.H. & Ouhadan, A. Lie symmetry analysis and conservation laws for the time fractional generalized advection–diffusion equation. Comp. Appl. Math. 42, 50 (2023). https://doi.org/10.1007/s40314-023-02186-0
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DOI: https://doi.org/10.1007/s40314-023-02186-0
Keywords
- The generalized advection–diffusion equation
- Fractional derivative
- Lie symmetry
- Symmetry reductions
- Conservation laws