Application of fractional sub-equation method to nonlinear evolution equations

Application of fractional sub-equation method to nonlinear evolution equations

In this paper, we constructed a traveling wave solutions expressed by three types of functions, which are hyperbolic, trigonometric, and rational functions. By using a fractional sub-equation method for some space-time fractional nonlinear partial differential equations (FNPDE), which are considere...

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Main Authors: Mohamed A. Abdelkawy, Omar H. El-Kalaawy, Rasha B. Al-Denari, Anjan Biswas
Format: Article
Language:English
Published: Vilnius University Press 2018-10-01
Series:Nonlinear Analysis
Subjects:
fractional Cahn–Hilliard equation
modified Riemann–Liouville
fractional sub-equation method
spinodal decomposition
phase ordering dynamics
Online Access:http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13160
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spelling doaj-41840e7491e34b5ea8831649398943452020-11-25T01:44:05ZengVilnius University PressNonlinear Analysis1392-51132335-89632018-10-0123510.15388/NA.2018.5.5Application of fractional sub-equation method to nonlinear evolution equationsMohamed A. Abdelkawy0Omar H. El-Kalaawy1Rasha B. Al-Denari2Anjan Biswas3Al-Imam Mohammad Ibn Saud Islamic University; Beni-Suef UniversityBeni-Suef University, EgyptBeni-Suef University, EgyptAl-Imam Mohammad Ibn Saud Islamic University; Alabama A&M University; Tshwane University of Technology In this paper, we constructed a traveling wave solutions expressed by three types of functions, which are hyperbolic, trigonometric, and rational functions. By using a fractional sub-equation method for some space-time fractional nonlinear partial differential equations (FNPDE), which are considered models for different phenomena in natural and social sciences fields like engineering, physics, geology, etc. This method is a very effective and easy to investigate exact traveling wave solutions to FNPDE with the aid of the modified Riemann–Liouville derivative. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13160fractional Cahn–Hilliard equationmodified Riemann–Liouvillefractional sub-equation methodspinodal decompositionphase ordering dynamics
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed A. Abdelkawy
Omar H. El-Kalaawy
Rasha B. Al-Denari
Anjan Biswas
spellingShingle Mohamed A. Abdelkawy
Omar H. El-Kalaawy
Rasha B. Al-Denari
Anjan Biswas
Application of fractional sub-equation method to nonlinear evolution equations
Nonlinear Analysis
fractional Cahn–Hilliard equation
modified Riemann–Liouville
fractional sub-equation method
spinodal decomposition
phase ordering dynamics
author_facet Mohamed A. Abdelkawy
Omar H. El-Kalaawy
Rasha B. Al-Denari
Anjan Biswas
author_sort Mohamed A. Abdelkawy
title Application of fractional sub-equation method to nonlinear evolution equations
title_short Application of fractional sub-equation method to nonlinear evolution equations
title_full Application of fractional sub-equation method to nonlinear evolution equations
title_fullStr Application of fractional sub-equation method to nonlinear evolution equations
title_full_unstemmed Application of fractional sub-equation method to nonlinear evolution equations
title_sort application of fractional sub-equation method to nonlinear evolution equations
publisher Vilnius University Press
series Nonlinear Analysis
issn 1392-5113
2335-8963
publishDate 2018-10-01
description In this paper, we constructed a traveling wave solutions expressed by three types of functions, which are hyperbolic, trigonometric, and rational functions. By using a fractional sub-equation method for some space-time fractional nonlinear partial differential equations (FNPDE), which are considered models for different phenomena in natural and social sciences fields like engineering, physics, geology, etc. This method is a very effective and easy to investigate exact traveling wave solutions to FNPDE with the aid of the modified Riemann–Liouville derivative.
topic fractional Cahn–Hilliard equation
modified Riemann–Liouville
fractional sub-equation method
spinodal decomposition
phase ordering dynamics
url http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13160
work_keys_str_mv AT mohamedaabdelkawy applicationoffractionalsubequationmethodtononlinearevolutionequations
AT omarhelkalaawy applicationoffractionalsubequationmethodtononlinearevolutionequations
AT rashabaldenari applicationoffractionalsubequationmethodtononlinearevolutionequations
AT anjanbiswas applicationoffractionalsubequationmethodtononlinearevolutionequations
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