Novel computational technique for fractional Kudryashov–Sinelshchikov equation associated with regularized Hilfer–Prabhakar derivative.

In the present paper we propose a novel analytical technique to obtain the solution of nonlinear partial differential equations. Additionally, we also implement the proposed method to find out the solution of fractional Kudryashov–Sinelshchikov equation. Since the Kudryashov–Sinelshchikov equation exhorts the pressure waves in mixture of liquid gas bubble while considering the viscosity and heat transport. Here regularized version of Hilfer–Prabhakar derivative of fractional order is utilized to model the problem. The obtained results are presented graphically for some specific values of constants and for distinct values of fractional order at different stages of time. The graphical behaviour of results show that the proposed method is very efficient to solve the nonlinear partial differential equations and reliable. [ABSTRACT FROM AUTHOR]