On solutions of fractional nonlinear Fokker-Planck equation

被引：0

作者：

Singla, Komal ^{[1
]}

Leonenko, Nikolai ^{[2
]}

机构：

[1] Chandigarh Univ, Dept Math, Mohali, Punjab, India

[2] Cardiff Univ, Sch Math, Cardiff, Wales

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2025年 / 28卷 / 03期

基金：

巴西圣保罗研究基金会;

关键词：

Fractional calculus (primary); Fractional nonlinear Fokker-Planck equation; Erd & eacute; lyi-Kober operator; Exact solutions; Symmetry analysis; SYMMETRY ANALYSIS; TIME;

D O I：

10.1007/s13540-025-00413-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, the exact solutions of time fractional Fokker-Planck equation are investigated using the symmetry approach. Also, the convergence of the reported solutions is proved along with the graphical interpretation of the obtained solutions.

引用

页码：1094 / 1105

页数：12

共 34 条

[1] FRACTIONAL-IN-TIME AND MULTIFRACTIONAL-IN-SPACE STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS [J].

Anh, Vo V. ;

Leonenko, Nikolai N. ;

Ruiz-Medina, Maria D. .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2016, 19 (06) :1434-1459

[2]

Borland L., 2002, Quantitative Finance, V2, P415, DOI 10.1088/1469-7688/2/6/301

[3] Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations [J].

Buckwar, E ;

Luchko, Y .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 227 (01) :81-97

[4] Autocorrelation functions of nonlinear Fokker-Planck equations [J].

Frank, TD .

EUROPEAN PHYSICAL JOURNAL B, 2004, 37 (02) :139-142

[5]

Gorenflo R., 2014, Mittag-Leffler functions, related topics and applications, DOI [DOI 10.1007/978-3-662-43930-2, 10.1007/978-3-662-61550-8, DOI 10.1007/978-3-662-61550-8]

[6] Symmetry Analysis of Variable-Coefficient Time-Fractional Nonlinear Systems of Partial Differential Equations [J].