Abstract
In this article, we are investigating the applications of Lie symmetry approach to time fractional Kudryashov- Sinelshchilov (KS) equation in terms of Riemann-Liouville (RL) fractional order derivatives. Using the obtained symmetries, we are reducing the nonlinear fractional order partial differential equation (FPDE) into fractional ordinary differential equation (FODE) with utilization of Erdelyi-Kober (EK) operators, further we are demonstrating the exact solution and convergence of obtained system by explicit power series technique. We are explaining the Ibragimov's method with Nother's theorem to discuss the nonlinear self-adjointness and execution of conservation laws of KS equation.
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