A note on Lie point symmetry to generalized fractional Burgers’ equation
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.
Palavras-chave
Texto completo:
PDF (English)Referências
Harry Bateman. “Some recent researches on the motion of fluids”. In: Monthly Weather Review 43.4 (1915), pp. 163–170.
Bibekananda Bira, Tungala Raja Sekhar, and Dia Zeidan. “Exact solutions for some timefractional evolution equations using Lie group theory”. In: Mathematical Methods in the Applied Sciences 41.16 (2018), pp. 6717–6725.
Mayur P Bonkile et al. “A systematic literature review of Burgers’ equation with recent advances”. In: Pramana 90.6 (2018), pp. 1–21.
Igor L Freire. “Note on Lie point symmetries of Burgers Equations”. In: Trends in Computational and Applied Mathematics 11.2 (2010), pp. 151–157.
Raphael K Gazizov, AA Kasatkin, and S Yu Lukashchuk. “Continuous transformation groups of fractional differential equations”. In: Vestnik Usatu 9.3 (2007), p. 21.
RK Gazizov, AA Kasatkin, and S Yu Lukashchuk. “Group-invariant solutions of fractional differential equations”. In: Nonlinear Science and Complexity. Springer, 2011, pp. 51– 59.
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).
DOI: https://doi.org/10.5540/03.2022.009.01.0231
Apontamentos
- Não há apontamentos.
SBMAC - Sociedade de Matemática Aplicada e Computacional
Edifício Medical Center - Rua Maestro João Seppe, nº. 900, 16º. andar - Sala 163 | São Carlos/SP - CEP: 13561-120