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

Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and... AbstractIn 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

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

Pedram, Leila; Rostamy, Davoud
Nonlinear Engineering , Volume 10 (1): 14 – Jan 1, 2021
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Publisher
de Gruyter
Copyright
© 2021 Leila Pedram et al., published by De Gruyter
ISSN
2192-8029
eISSN
2192-8029
DOI
10.1515/nleng-2021-0007
Publisher site
See Article on Publisher Site

Abstract

AbstractIn 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.

Journal

Nonlinear Engineering – de Gruyter

Published: Jan 1, 2021

Keywords: The modified Kudryashov method; Partial differential equations; Conformable fractional derivative; Nonlinear PDEs; Benjamin–Bona–Mahony equation; Korteweg-de Vries equation

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