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

页码：971 / 979

页数：9

共 45 条

[1] An approximate solution for a fractional diffusion-wave equation using the decomposition method
Al-Khaled, K
Momani, S
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 165 (02) : 473 - 483
[2] [Anonymous], 1989, The Fokker-Planck Equations: Methods of solutions and applications
[3] Solution of fractional differential equations by using differential transform method
Arikoglu, Aytac
Ozkol, Ibrahim
[J]. CHAOS SOLITONS & FRACTALS, 2007, 34 (05) : 1473 - 1481
[4] Baleanu D., 2012, Fractional Calculus: Models and Numerical Methods, V3, DOI DOI 10.1142/8180
[5] Bhrawy AH, 2014, ROM J PHYS, V59, P646
[6] Variational iteration method for solving Fokker-Planck equation
Biazar, J.
Gholamin, P.
Hosseini, K.
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (07): : 1137 - 1147
[7] A Fourier method for the fractional diffusion equation describing sub-diffusion
Chen, Chang-Ming
Liu, F.
Turner, I.
Anh, V.
[J]. JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 227 (02) : 886 - 897
[8] Finite difference approximations for the fractional Fokker-Planck equation
Chen, S.
Liu, F.
Zhuang, P.
Anh, V.
[J]. APPLIED MATHEMATICAL MODELLING, 2009, 33 (01) : 256 - 273
[9] Analytical solution of a fractional diffusion equation by variational iteration method
Das, S.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (03) : 483 - 487
[10] Stochastic feedback, nonlinear families of Markov processes, and nonlinear Fokker-Planck equations
Frank, TD
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 331 (3-4) : 391 - 408

← 1 2 3 4 5 →