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2015 Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations
Huitzilin Yépez-Martínez, Ivan O. Sosa, Juan M. Reyes
J. Appl. Math. 2015: 1-9 (2015). DOI: 10.1155/2015/191545

Abstract

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.

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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." J. Appl. Math. 2015 1 - 9, 2015. https://doi.org/10.1155/2015/191545

Information

Published: 2015
First available in Project Euclid: 15 April 2015

zbMATH: 1346.35222
MathSciNet: MR3321595
Digital Object Identifier: 10.1155/2015/191545

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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