Various Exact Solutions for the Conformable Time-Fractional Generalized Fitzhugh–Nagumo Equation with Time-Dependent Coefficients

Various Exact Solutions for the Conformable Time-Fractional Generalized Fitzhugh–Nagumo Equation with Time-Dependent Coefficients

In this paper, the subequation method and the sine-cosine method are improved to give a set of traveling wave solutions for the time-fractional generalized Fitzhugh–Nagumo equation with time-dependent coefficients involving the conformable fractional derivative. Various structures of solutions such...

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Main Authors: Sami Injrou, Ramez Karroum, Nadia Deeb
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2021/8888989
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spelling doaj-aab4f958af2942609074c769bd85aab02021-07-19T01:04:48ZengHindawi LimitedInternational Journal of Differential Equations1687-96512021-01-01202110.1155/2021/8888989Various Exact Solutions for the Conformable Time-Fractional Generalized Fitzhugh–Nagumo Equation with Time-Dependent CoefficientsSami Injrou0Ramez Karroum1Nadia Deeb2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, the subequation method and the sine-cosine method are improved to give a set of traveling wave solutions for the time-fractional generalized Fitzhugh–Nagumo equation with time-dependent coefficients involving the conformable fractional derivative. Various structures of solutions such as the hyperbolic function solutions, the trigonometric function solutions, and the rational solutions are constructed. These solutions may be useful to describe several physical applications. The results show that these methods are shown to be affective and easy to apply for this type of nonlinear fractional partial differential equations (NFPDEs) with time-dependent coefficients.http://dx.doi.org/10.1155/2021/8888989
collection DOAJ
language English
format Article
sources DOAJ
author Sami Injrou
Ramez Karroum
Nadia Deeb
spellingShingle Sami Injrou
Ramez Karroum
Nadia Deeb
Various Exact Solutions for the Conformable Time-Fractional Generalized Fitzhugh–Nagumo Equation with Time-Dependent Coefficients
International Journal of Differential Equations
author_facet Sami Injrou
Ramez Karroum
Nadia Deeb
author_sort Sami Injrou
title Various Exact Solutions for the Conformable Time-Fractional Generalized Fitzhugh–Nagumo Equation with Time-Dependent Coefficients
title_short Various Exact Solutions for the Conformable Time-Fractional Generalized Fitzhugh–Nagumo Equation with Time-Dependent Coefficients
title_full Various Exact Solutions for the Conformable Time-Fractional Generalized Fitzhugh–Nagumo Equation with Time-Dependent Coefficients
title_fullStr Various Exact Solutions for the Conformable Time-Fractional Generalized Fitzhugh–Nagumo Equation with Time-Dependent Coefficients
title_full_unstemmed Various Exact Solutions for the Conformable Time-Fractional Generalized Fitzhugh–Nagumo Equation with Time-Dependent Coefficients
title_sort various exact solutions for the conformable time-fractional generalized fitzhugh–nagumo equation with time-dependent coefficients
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9651
publishDate 2021-01-01
description In this paper, the subequation method and the sine-cosine method are improved to give a set of traveling wave solutions for the time-fractional generalized Fitzhugh–Nagumo equation with time-dependent coefficients involving the conformable fractional derivative. Various structures of solutions such as the hyperbolic function solutions, the trigonometric function solutions, and the rational solutions are constructed. These solutions may be useful to describe several physical applications. The results show that these methods are shown to be affective and easy to apply for this type of nonlinear fractional partial differential equations (NFPDEs) with time-dependent coefficients.
url http://dx.doi.org/10.1155/2021/8888989
work_keys_str_mv AT samiinjrou variousexactsolutionsfortheconformabletimefractionalgeneralizedfitzhughnagumoequationwithtimedependentcoefficients
AT ramezkarroum variousexactsolutionsfortheconformabletimefractionalgeneralizedfitzhughnagumoequationwithtimedependentcoefficients
AT nadiadeeb variousexactsolutionsfortheconformabletimefractionalgeneralizedfitzhughnagumoequationwithtimedependentcoefficients
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