Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations
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...
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De Gruyter
2021
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oai:doaj.org-article:567464e9fb404a20932ce9e1274218322021-12-05T14:10:57ZNumerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations2192-802910.1515/nleng-2021-0007https://doaj.org/article/567464e9fb404a20932ce9e1274218322021-04-01T00:00:00Zhttps://doi.org/10.1515/nleng-2021-0007https://doaj.org/toc/2192-8029In 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.Pedram LeilaRostamy DavoudDe Gruyterarticlethe modified kudryashov methodpartial differential equationsconformable fractional derivativenonlinear pdesbenjamin–bona–mahony equationkorteweg-de vries equationEngineering (General). Civil engineering (General)TA1-2040ENNonlinear Engineering, Vol 10, Iss 1, Pp 77-90 (2021) |
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the modified kudryashov method partial differential equations conformable fractional derivative nonlinear pdes benjamin–bona–mahony equation korteweg-de vries equation Engineering (General). Civil engineering (General) TA1-2040 |
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the modified kudryashov method partial differential equations conformable fractional derivative nonlinear pdes benjamin–bona–mahony equation korteweg-de vries equation Engineering (General). Civil engineering (General) TA1-2040 Pedram Leila Rostamy Davoud Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations |
description |
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. |
format |
article |
author |
Pedram Leila Rostamy Davoud |
author_facet |
Pedram Leila Rostamy Davoud |
author_sort |
Pedram Leila |
title |
Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations |
title_short |
Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations |
title_full |
Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations |
title_fullStr |
Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations |
title_full_unstemmed |
Numerical simulations of stochastic conformable space–time fractional Korteweg-de Vries and Benjamin–Bona–Mahony equations |
title_sort |
numerical simulations of stochastic conformable space–time fractional korteweg-de vries and benjamin–bona–mahony equations |
publisher |
De Gruyter |
publishDate |
2021 |
url |
https://doaj.org/article/567464e9fb404a20932ce9e127421832 |
work_keys_str_mv |
AT pedramleila numericalsimulationsofstochasticconformablespacetimefractionalkortewegdevriesandbenjaminbonamahonyequations AT rostamydavoud numericalsimulationsofstochasticconformablespacetimefractionalkortewegdevriesandbenjaminbonamahonyequations |
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