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Lie Symmetry Analysis of C1(m, a, b) Partial Differential Equations

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  • Hengtai Wang
  • Aminu Ma’aruf Nass
  • Zhiwei Zou

Abstract

In this article, we discussed the Lie symmetry analysis of C1(m, a, b) fractional and integer order differential equations. The symmetry algebra of both differential equations is obtained and utilized to find the similarity reductions, invariant solutions, and conservation laws. In both cases, the symmetry algebra is of low dimensions.

Suggested Citation

  • Hengtai Wang & Aminu Ma’aruf Nass & Zhiwei Zou, 2021. "Lie Symmetry Analysis of C1(m, a, b) Partial Differential Equations," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:9113423
    DOI: 10.1155/2021/9113423
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    References listed on IDEAS

    as
    1. G. Loaiza & Y. Acevedo & O.M.L. Duque & Danilo A. García Hernández, 2021. "Lie Algebra Classification, Conservation Laws, and Invariant Solutions for a Generalization of the Levinson–Smith Equation," International Journal of Differential Equations, Hindawi, vol. 2021, pages 1-11, May.
    2. Nass, Aminu M., 2019. "Lie symmetry analysis and exact solutions of fractional ordinary differential equations with neutral delay," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 370-380.
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