APPLICATION OF FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING FRACTIONAL FOKKER-PLANCK EQUATION

被引：0
作者：
Ibis, Birol [1 ]
机构：
[1] Turkish Air Force Acad, Dept Basic Sci, Istanbul, Turkey
来源：
ROMANIAN JOURNAL OF PHYSICS | 2015年 / 60卷 / 7-8期
关键词：
Fractional Fokker-Planck equation; fractional variational iteration method (FVIM); Jumarie's modified Riemann-Liouville derivative; Mittag-Leffler function; PARTIAL-DIFFERENTIAL-EQUATIONS; HOMOTOPY PERTURBATION METHOD; ADOMIAN DECOMPOSITION METHOD; DIFFUSION-WAVE EQUATION; NUMERICAL-SOLUTION; SUB-DIFFUSION; DERIVATIVES;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the fractional variational iteration method is applied to obtain an analytical approximate solution for the time and space fractional Fokker-Planck equation. We illustrated the applicability and efficiency of the FVIM for solving fractional Fokker-Planck equation by two examples. The results from these examples show that the method is both simple and powerful for solving the fractional Fokker-Planck equation involving Jumarie's modified Riemann-Liouville derivative.
引用
收藏
页码：971 / 979
页数：9
相关论文
共 45 条
[31]   Haar wavelet method for solving fractional partial differential equations numerically [J].
Wang, Lifeng ;
Ma, Yunpeng ;
Meng, Zhijun .
APPLIED MATHEMATICS AND COMPUTATION, 2014, 227 :66-76
[32]  
Wu G C., 2010, Nonlin. Sci. Let A1, V3, P281
[33]   Variational iteration method for the Burgers' flow with fractional derivatives-New Lagrange multipliers [J].
Wu, Guo-Cheng ;
Baleanu, Dumitru .
APPLIED MATHEMATICAL MODELLING, 2013, 37 (09) :6183-6190
[34]   A fractional variational iteration method for solving fractional nonlinear differential equations [J].
Wu, Guo-cheng .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (08) :2186-2190
[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]   Analysis of nonlinear fractional partial differential equations with the homotopy analysis method [J].
Xu, Hang ;
Liao, Shi-Jun ;
You, Xiang-Cheng .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (04) :1152-1156
[37]   Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method [J].
Yan, Limei .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[38]  
Yang Q., 2009, PHYS SCR T, VT136, P1
[39]  
Yang X. J., 2013, Acta Univ, V23, P3
[40]  
Yang XJ, 2014, ROM J PHYS, V59, P36
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