TY - JOUR
T1 - The fractional variational iteration method using He's polynomials
AU - Guo, Shimin
AU - Mei, Liquan
PY - 2011/1/17
Y1 - 2011/1/17
N2 - In this Letter, by introducing He's polynomials in the correct functional, we propose a new fractional variational iteration method to solve nonlinear time-fractional partial differential equations involving Jumarie's modified Riemann-Liouville derivative. Several examples have been solved to illustrate the proposed method is quite effective and convenient for solving kinds of nonlinear fractional order problems.
AB - In this Letter, by introducing He's polynomials in the correct functional, we propose a new fractional variational iteration method to solve nonlinear time-fractional partial differential equations involving Jumarie's modified Riemann-Liouville derivative. Several examples have been solved to illustrate the proposed method is quite effective and convenient for solving kinds of nonlinear fractional order problems.
KW - Fractional differential equation
KW - Fractional variational iteration method
KW - Homotopy perturbation method
KW - Modified Riemann-Liouville derivative
KW - Solitary wave solution
UR - https://www.scopus.com/pages/publications/78650881841
U2 - 10.1016/j.physleta.2010.11.047
DO - 10.1016/j.physleta.2010.11.047
M3 - 文章
AN - SCOPUS:78650881841
SN - 0375-9601
VL - 375
SP - 309
EP - 313
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3
ER -