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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Pedram Leila, Rostamy Davoud
Formato: article
Lenguaje:EN
Publicado: De Gruyter 2021
Materias:
Acceso en línea:https://doaj.org/article/567464e9fb404a20932ce9e127421832
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:doaj.org-article:567464e9fb404a20932ce9e127421832
record_format dspace
spelling 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)
institution DOAJ
collection DOAJ
language EN
topic 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
spellingShingle 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
_version_ 1718371535963553792