Feng's first integral method applied to the ZKBBM and the generalized fisher space-time fractional equations
Por:
Yépez-Martínez H., Sosa I.O., Reyes J.M.
Publicada:
1 ene 2015
Categoría:
Applied Mathematics
Resumen:
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. © 2015 Huitzilin Yépez-Martínez et al.
Filiaciones:
Yépez-Martínez H.:
Universidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, México DF, Mexico
Sosa I.O.:
Universidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, México DF, Mexico
Reyes J.M.:
Universidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, México DF, Mexico
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