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Lie symmetry analysis and conservation laws for the time fractional generalized advection–diffusion equation

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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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Acknowledgements

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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Authors and Affiliations

  1. Laboratory of Mathematics, Analysis and Control of Systems, Department of Mathematics, Faculty of Sciences, Moulay Ismail University, Zitoune, 11201, Meknes, Morocco

    Mohamed Rahioui, El Hassan El Kinani & Abdelaziz Ouhadan

  2. Regional Center for the Trades of Education and Training, Fez-Meknes, Morocco

    Abdelaziz Ouhadan

Authors
  1. Mohamed Rahioui
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  2. El Hassan El Kinani
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  3. Abdelaziz Ouhadan
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Correspondence to Mohamed Rahioui, El Hassan El Kinani or Abdelaziz Ouhadan.

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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

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