Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations

Abstract

In this paper, we investigate the effect of white noise on conformable time and space fractional KdV and BBM equations. For this purpose, we convert these equations with external noise to homogeneous conformable time and space fractional KdV and BBM equations with defined transformation and then we solve them by modified Kudryashov method. We bring our numerical results in some figures in the last section.

Keywords

• the modified kudryashov method
• partial differential equations
• conformable fractional derivative
• nonlinear pdes
• benjamin–bona–mahony equation
• korteweg-de vries equation