Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations
The fractional derivatives in the sense of the modified Riemann-Liouville derivative and Feng’s first integral method are employed to obtain the exact solutions of the nonlinear space-time fractional ZKBBM equation and the nonlinear space-time fractional generalized Fisher equation. The power of thi...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/191545 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832563992900403200 |
|---|---|
| author | Huitzilin Yépez-Martínez Ivan O. Sosa Juan M. Reyes |
| author_facet | Huitzilin Yépez-Martínez Ivan O. Sosa Juan M. Reyes |
| author_sort | Huitzilin Yépez-Martínez |
| collection | DOAJ |
| description | The fractional derivatives in the sense of the modified Riemann-Liouville derivative and Feng’s first integral method are employed to obtain the exact solutions of the nonlinear space-time fractional ZKBBM equation and the nonlinear space-time fractional generalized Fisher equation. The power of this manageable method is presented by applying it to the above equations. Our approach provides first integrals in polynomial form with high accuracy. Exact analytical solutions are obtained through establishing first integrals. The present method is efficient and reliable, and it can be used as an alternative to establish new solutions of different types of fractional differential equations applied in mathematical physics. |
| format | Article |
| id | doaj-art-698dd70a995d4cff99338bf2ef0122af |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-698dd70a995d4cff99338bf2ef0122af2025-02-03T01:12:05ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/191545191545Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional EquationsHuitzilin Yépez-Martínez0Ivan O. Sosa1Juan M. Reyes2Universidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, Colonia San Lorenzo Tezonco, Delegación Iztapalapa, 09790 México DF, MexicoUniversidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, Colonia San Lorenzo Tezonco, Delegación Iztapalapa, 09790 México DF, MexicoUniversidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, Colonia San Lorenzo Tezonco, Delegación Iztapalapa, 09790 México DF, MexicoThe fractional derivatives in the sense of the modified Riemann-Liouville derivative and Feng’s first integral method are employed to obtain the exact solutions of the nonlinear space-time fractional ZKBBM equation and the nonlinear space-time fractional generalized Fisher equation. The power of this manageable method is presented by applying it to the above equations. Our approach provides first integrals in polynomial form with high accuracy. Exact analytical solutions are obtained through establishing first integrals. The present method is efficient and reliable, and it can be used as an alternative to establish new solutions of different types of fractional differential equations applied in mathematical physics.http://dx.doi.org/10.1155/2015/191545 |
| spellingShingle | Huitzilin Yépez-Martínez Ivan O. Sosa Juan M. Reyes Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations Journal of Applied Mathematics |
| title | Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations |
| title_full | Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations |
| title_fullStr | Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations |
| title_full_unstemmed | Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations |
| title_short | Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations |
| title_sort | feng s first integral method applied to the zkbbm and the generalized fisher space time fractional equations |
| url | http://dx.doi.org/10.1155/2015/191545 |
| work_keys_str_mv | AT huitzilinyepezmartinez fengsfirstintegralmethodappliedtothezkbbmandthegeneralizedfisherspacetimefractionalequations AT ivanososa fengsfirstintegralmethodappliedtothezkbbmandthegeneralizedfisherspacetimefractionalequations AT juanmreyes fengsfirstintegralmethodappliedtothezkbbmandthegeneralizedfisherspacetimefractionalequations |