Study on Space-Time Fractional Nonlinear Biological Equation in Radial Symmetry

被引：6
|
作者：
Liu, Yanqin [1 ,2 ]
机构：
[1] Dezhou Univ, Dept Math, Dezhou 253023, Peoples R China
[2] Tianjin Univ, Sch Management, Nonlinear Dynam & Chaos Grp, Tianjin 30072, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷
基金：
美国国家科学基金会; 中国博士后科学基金;
关键词：
ANOMALOUS DIFFUSION;
D O I：
10.1155/2013/654759
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We consider the initial stage of space-time fractional generalized biological equation in radial symmetry. Dimensionless multiorder fractional nonlinear equation was first given, and approximate solutions were derived in the form of series using the homotopy perturbation method with a new modification. And the influence of fractional derivative is also discussed.
引用
收藏
页数：6
相关论文
共 50 条
  • [31] Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation
    Tatar, SalIh
    Tinaztepe, Ramazan
    Ulusoy, Suleyman
    APPLICABLE ANALYSIS, 2016, 95 (01) : 1 - 23
  • [32] On the space-time fractional Schrodinger equation with time independent potentials
    Baqer, Saleh
    Boyadjiev, Lyubomir
    PANORAMA OF MATHEMATICS: PURE AND APPLIED, 2016, 658 : 81 - 90
  • [33] RADIAL SYMMETRY OF GROUND STATES FOR A REGIONAL FRACTIONAL NONLINEAR SCHRODINGER EQUATION
    Felmer, Patricio
    Torres, Cesar
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (06) : 2395 - 2406
  • [34] An Efficient Space-Time Method for Time Fractional Diffusion Equation
    Shen, Jie
    Sheng, Chang-Tao
    JOURNAL OF SCIENTIFIC COMPUTING, 2019, 81 (02) : 1088 - 1110
  • [35] Fractional (space-time) Fokker-Planck equation
    El-Wakil, SA
    Elhanbaly, A
    Zahran, MA
    CHAOS SOLITONS & FRACTALS, 2001, 12 (06) : 1035 - 1040
  • [36] THE CALDERON PROBLEM FOR A SPACE-TIME FRACTIONAL PARABOLIC EQUATION
    Lai, Ru-Yu
    Lin, Yi-Hsuan
    Rueland, Angkana
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 52 (03) : 2655 - 2688
  • [37] Semianalytic Solution of Space-Time Fractional Diffusion Equation
    Elsaid, A.
    Shamseldeen, S.
    Madkour, S.
    INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2016, 2016
  • [38] Space-Time Fractional DKP Equation and Its Solution
    Bouzid, N.
    Merad, M.
    FEW-BODY SYSTEMS, 2017, 58 (03)
  • [39] Formulation and solution of space-time fractional Boussinesq equation
    El-Wakil, S. A.
    Abulwafa, Essam M.
    NONLINEAR DYNAMICS, 2015, 80 (1-2) : 167 - 175
  • [40] Solutions of the space-time fractional Cattaneo diffusion equation
    Qi, Haitao
    Jiang, Xiaoyun
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2011, 390 (11) : 1876 - 1883
12345