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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | Arabic |
| Published: |
Tishreen University
2019-04-01
|
| Series: | مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| Online Access: | http://journal.tishreen.edu.sy/index.php/bassnc/article/view/8654 |
| _version_ | 1797423958701637632 |
|---|---|
| author | سامي انجرو رامز كروم ناديا ديب |
| author_facet | سامي انجرو رامز كروم ناديا ديب |
| author_sort | سامي انجرو |
| 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.
|
| first_indexed | 2024-03-09T07:55:22Z |
| format | Article |
| id | doaj.art-24f7199577e1432e9a28a51d48ebce03 |
| institution | Directory Open Access Journal |
| issn | 2079-3057 2663-4252 |
| language | Arabic |
| last_indexed | 2024-03-09T07:55:22Z |
| publishDate | 2019-04-01 |
| publisher | Tishreen University |
| record_format | Article |
| series | مجلة جامعة تشرين للبحوث والدراسات العلمية، سلسلة العلوم الأساسية |
| spelling | doaj.art-24f7199577e1432e9a28a51d48ebce032023-12-03T01:10:04ZaraTishreen 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 Coefficientsسامي انجرورامز كرومناديا ديب 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://journal.tishreen.edu.sy/index.php/bassnc/article/view/8654 |
| spellingShingle | سامي انجرو رامز كروم ناديا ديب 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://journal.tishreen.edu.sy/index.php/bassnc/article/view/8654 |
| work_keys_str_mv | AT sạmyạnjrw findinganalyticalsolutionsforthetimefractionalgeneralizedfitzhughnagumoequationwithconstantcoefficients AT rạmzkrwm findinganalyticalsolutionsforthetimefractionalgeneralizedfitzhughnagumoequationwithconstantcoefficients AT nạdyạdyb findinganalyticalsolutionsforthetimefractionalgeneralizedfitzhughnagumoequationwithconstantcoefficients |