Finding Analytical Solutions for The Time-Fractional Generalized Fitzhugh - Nagumo Equation with Constant Coefficients

  In this paper, we aim to find a set of analytical soliton wave solutions for the time fractional generalized Fitzhugh - Nagumo Equation with constant coefficients, in the sense of modified Riemann - Liouville fractional derivative, by using the exp- function method. Comparing the results with t...

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Main Authors: Sami Injrou, Ramez Karoum, Nadia Deeb
Format: Article
Language:Arabic
Published: Tishreen University 2019-04-01
Series:مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية
Online Access:http://www.journal.tishreen.edu.sy/index.php/bassnc/article/view/8654
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author Sami Injrou
Ramez Karoum
Nadia Deeb
author_facet Sami Injrou
Ramez Karoum
Nadia Deeb
author_sort Sami Injrou
collection DOAJ
description   In this paper, we aim to find a set of analytical soliton wave solutions for the time fractional generalized Fitzhugh - Nagumo Equation with constant coefficients, in the sense of modified Riemann - Liouville fractional derivative, by using the exp- function method. Comparing the results with these of classical form of the time fractional Fitzhugh - Nagumo equation. We found that this method is effective and easy to apply for this type of partial fractional nonlinear differential equations.  
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spelling doaj.art-ae6aa460407c49d098892b741464c7b92023-12-03T10:02:39ZaraTishreen Universityمجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية2079-30572663-42522019-04-01412Finding Analytical Solutions for The Time-Fractional Generalized Fitzhugh - Nagumo Equation with Constant CoefficientsSami InjrouRamez Karoum Nadia Deeb   In this paper, we aim to find a set of analytical soliton wave solutions for the time fractional generalized Fitzhugh - Nagumo Equation with constant coefficients, in the sense of modified Riemann - Liouville fractional derivative, by using the exp- function method. Comparing the results with these of classical form of the time fractional Fitzhugh - Nagumo equation. We found that this method is effective and easy to apply for this type of partial fractional nonlinear differential equations.   http://www.journal.tishreen.edu.sy/index.php/bassnc/article/view/8654
spellingShingle Sami Injrou
Ramez Karoum
Nadia Deeb
Finding Analytical Solutions for The Time-Fractional Generalized Fitzhugh - Nagumo Equation with Constant Coefficients
مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية
title Finding Analytical Solutions for The Time-Fractional Generalized Fitzhugh - Nagumo Equation with Constant Coefficients
title_full Finding Analytical Solutions for The Time-Fractional Generalized Fitzhugh - Nagumo Equation with Constant Coefficients
title_fullStr Finding Analytical Solutions for The Time-Fractional Generalized Fitzhugh - Nagumo Equation with Constant Coefficients
title_full_unstemmed Finding Analytical Solutions for The Time-Fractional Generalized Fitzhugh - Nagumo Equation with Constant Coefficients
title_short Finding Analytical Solutions for The Time-Fractional Generalized Fitzhugh - Nagumo Equation with Constant Coefficients
title_sort finding analytical solutions for the time fractional generalized fitzhugh nagumo equation with constant coefficients
url http://www.journal.tishreen.edu.sy/index.php/bassnc/article/view/8654
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AT ramezkaroum findinganalyticalsolutionsforthetimefractionalgeneralizedfitzhughnagumoequationwithconstantcoefficients
AT nadiadeeb findinganalyticalsolutionsforthetimefractionalgeneralizedfitzhughnagumoequationwithconstantcoefficients