Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation

被引:18
作者
Elbeleze, Asma Ali [1 ]
Kilicman, Adem [2 ]
Taib, Bachok M. [1 ]
机构
[1] Univ Sains Islam Malaysia, Fac Sci & Technol, Nilai 71800, Malaysia
[2] Univ Putra Malaysia, Fac Sci, Dept Math, Serdang 43400, Selangor Darul, Malaysia
关键词
FLUID;
D O I
10.1155/2013/543848
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We use the fractional variational iteration method (FVIM) with modified Riemann-Liouville derivative to solve some equations in fluid mechanics and in financial models. The fractional derivatives are described in Riemann-Liouville sense. To show the efficiency of the considered method, some examples that include the fractional Klein-Gordon equation, fractional Burgers equation, and fractional Black-Scholes equation are investigated.
引用
收藏
页数:10
相关论文
共 39 条
[33]  
Wu G.C., 2011, Communications Fraction
[34]  
Calculus, V2, P59
[35]   Fractional variational iteration method and its application [J].
Wu, Guo-cheng ;
Lee, E. W. M. .
PHYSICS LETTERS A, 2010, 374 (25) :2506-2509
[36]   An exact solution of start-up flow for the fractional generalized Burgers' fluid in a porous half-space [J].
Xue, Changfeng ;
Nie, Junxiang ;
Tan, Wenchang .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) :2086-2094
[37]   The variational iteration method for studying the Klein-Gordon equation [J].
Yusufoglu, Elcin .
APPLIED MATHEMATICS LETTERS, 2008, 21 (07) :669-674
[38]  
Yusufoglu E, 2007, INT J NONLIN SCI NUM, V8, P153
[39]  
何吉欢, 1999, [科技通报, Bulletin of Science and Technology], V15, P86