Back close

Lie symmetry analysis and conservation laws of certain time fractional partial differential equations

Publication Type : Journal Article

Publisher : International Journal of Dynamical Systems and Differential Equation

Source : International Journal of Dynamical Systems and Differential Equations. 9. 44. 10.1504/IJDSDE.2019.098410.

Url : https://www.researchgate.net/publication/331914820_Lie_symmetry_analysis_and_conservation_laws_of_certain_time_fractional_partial_differential_equations

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2019

Abstract : A method is presented to derive the Lie point symmetries of time fractional partial differential equations in the sense of Riemann-Liouville fractional derivative. The applicability of the method has been illustrated through time fractional Burgers-Korteweg-de Vries with time dependent variable coefficients, time fractional dissipative Zabolotskaya-Khokhlov equation, time fractional generalised Benjamin equation and time fractional diffusion equation with variable coefficients. Using the obtained Lie point symmetries, it is shown that each of the above mentioned time fractional partial differential equations can be transformed into a ordinary differential equations of fractional order. Exact solutions of the above mentioned time fractional equations are derived wherever possible. It is also explained how conservation laws can be derived to time fractional partial differential equations.

Cite this Research Publication : Sahadevan, Ramajayam & Ponnusamy, Prakash. (2019). Lie symmetry analysis and conservation laws of certain time fractional partial differential equations. International Journal of Dynamical Systems and Differential Equations. 9. 44. 10.1504/IJDSDE.2019.098410.

Admissions Apply Now