Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations
Leila Pedram, Davood Rostamy
Abstract
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.
Topics & Concepts
Conformable matrixKorteweg–de Vries equationTransformation (genetics)Noise (video)Space timeSpace (punctuation)MathematicsFractional calculusWhite noiseMathematical analysisHomogeneousApplied mathematicsMathematical physicsPhysicsNonlinear systemComputer scienceEngineeringChemistryGeneStatisticsArtificial intelligenceChemical engineeringImage (mathematics)Quantum mechanicsOperating systemBiochemistryCombinatoricsNonlinear Waves and SolitonsFractional Differential Equations SolutionsAdvanced Mathematical Physics Problems