Analytical Solutions to the Fractional Fisher Equation by Applying the Fractional Sub-equation Method
H. Yépez-Martínez *
College of Science and Technology, University Autonomous of Mexico City, San Isidro extension 151, Col. San Lorenzo Tezonco, Del. Iztapalapa, PO Box 09790 Mexico DF, Mexico.
J. M. Reyes
College of Science and Technology, University Autonomous of Mexico City, San Isidro extension 151, Col. San Lorenzo Tezonco, Del. Iztapalapa, PO Box 09790 Mexico DF, Mexico.
I. O. Sosa
College of Science and Technology, University Autonomous of Mexico City, San Isidro extension 151, Col. San Lorenzo Tezonco, Del. Iztapalapa, PO Box 09790 Mexico DF, Mexico.
*Author to whom correspondence should be addressed.
Abstract
The fractional sub-equation method is proposed to construct analytical solutions of nonlinear fractional partial differential equations (FPDEs), involving Jumarie’s modified Riemann-Liouville derivative. The fractional sub-equation method is applied to the fractional Fisher equation. The analytical solutions show that the fractional sub-equation method is very effective for the analytical solutions of the Fisher equation. The fractional sub-equation method introduces a promising tool for solving many fractional partial differential equations.
Keywords: Fractional sub-equation method, analytical solutions, fractional fisher equation