A note on Lie point symmetry to generalized fractional Burgers’ equation

Autores

  • Junior Cesar Alves Soares
  • Felix Costa Silva
  • Stefânia Jarosz
  • Gastão Silves Ferreira Frederico

DOI:

https://doi.org/10.5540/03.2022.009.01.0231

Palavras-chave:

Lie Symmetry, Fractional Calculus, Reimann-Liouville

Resumo

In this article we will present the method developed by [5] to find Lie symmetries for fractional differential equations. In particular, we will find the symmetries for the generalized Burgers equation.

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Biografia do Autor

Junior Cesar Alves Soares

FACET/UNEMAT, Barra do Bugres, MT



Felix Costa Silva

FACET/UEMA, São Luis, MA

Stefânia Jarosz

DMAT/UNICAMP, Campinas, SP

Gastão Silves Ferreira Frederico

DMAT/UFC, Fortaleza, CE

Referências

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Mayur P Bonkile et al. “A systematic literature review of Burgers’ equation with recent advances”. In: Pramana 90.6 (2018), pp. 1–21.

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Mir Sajjad Hashemi and Dumitru Baleanu. Lie symmetry analysis of fractional differential equations. Chapman and Hall/CRC, 2020.

R Sahadevan and T Bakkyaraj. “Invariant analysis of time fractional generalized Burgers and Korteweg–de Vries equations”. In: Journal of mathematical analysis and applications 393.2 (2012), pp. 341–347.

Muhammad Saqib et al. “On Lie symmetry analysis of nonhomogeneous generalized inviscid and fractional Burgers’ equation”. In: Mathematical Methods in the Applied Sciences 44.11 (2021), pp. 8726–8738.

Junior C. A. Soares. “Cálculo Fracionário e as equações de evolução”. PhD thesis. Unicamp, 2016.

BA Tayyan and AH Sakka. “Symmetries and exact solutions of conformable fractional partial differential equations”. In: Palestine Journal of Mathematics 9.1) (2020).

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Publicado

2022-12-08

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