Solution of Moving Boundary Space-Time Fractional Burger’s Equation
The fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger’s equation is studied. The obtained solutions include generalized trigonometric and h...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/218092 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564100471717888 |
|---|---|
| author | E. A.-B. Abdel-Salam E. A. Yousif Y. A. S. Arko E. A. E. Gumma |
| author_facet | E. A.-B. Abdel-Salam E. A. Yousif Y. A. S. Arko E. A. E. Gumma |
| author_sort | E. A.-B. Abdel-Salam |
| collection | DOAJ |
| description | The fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger’s equation is studied. The obtained solutions include generalized trigonometric and hyperbolic function solutions. Among these solutions, some are found for the first time. The linear and periodic moving boundaries for the kink solution of the Burger’s equation are presented graphically and discussed. |
| format | Article |
| id | doaj-art-02e8bf6f99934a2cae8ccf72ca1e1996 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-02e8bf6f99934a2cae8ccf72ca1e19962025-02-03T01:11:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/218092218092Solution of Moving Boundary Space-Time Fractional Burger’s EquationE. A.-B. Abdel-Salam0E. A. Yousif1Y. A. S. Arko2E. A. E. Gumma3Department of Mathematics, Faculty of Science, Assiut University, New Valley Branch, El-Kharja 72511, EgyptDepartment of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Northern Border University, Arar 91431, Saudi ArabiaThe fractional Riccati expansion method is used to solve fractional differential equations with variable coefficients. To illustrate the effectiveness of the method, the moving boundary space-time fractional Burger’s equation is studied. The obtained solutions include generalized trigonometric and hyperbolic function solutions. Among these solutions, some are found for the first time. The linear and periodic moving boundaries for the kink solution of the Burger’s equation are presented graphically and discussed.http://dx.doi.org/10.1155/2014/218092 |
| spellingShingle | E. A.-B. Abdel-Salam E. A. Yousif Y. A. S. Arko E. A. E. Gumma Solution of Moving Boundary Space-Time Fractional Burger’s Equation Journal of Applied Mathematics |
| title | Solution of Moving Boundary Space-Time Fractional Burger’s Equation |
| title_full | Solution of Moving Boundary Space-Time Fractional Burger’s Equation |
| title_fullStr | Solution of Moving Boundary Space-Time Fractional Burger’s Equation |
| title_full_unstemmed | Solution of Moving Boundary Space-Time Fractional Burger’s Equation |
| title_short | Solution of Moving Boundary Space-Time Fractional Burger’s Equation |
| title_sort | solution of moving boundary space time fractional burger s equation |
| url | http://dx.doi.org/10.1155/2014/218092 |
| work_keys_str_mv | AT eababdelsalam solutionofmovingboundaryspacetimefractionalburgersequation AT eayousif solutionofmovingboundaryspacetimefractionalburgersequation AT yasarko solutionofmovingboundaryspacetimefractionalburgersequation AT eaegumma solutionofmovingboundaryspacetimefractionalburgersequation |