On the Time Fractional Generalized Fisher Equation:Group Similarities and Analytical Solutions

被引：0
|
作者：
M.S.Hashemi [1 ]
D.Baleanu [2 ,3 ]
机构：
[1] Department of Mathematics Basic Science Faculty,University of Bonab
[2] Department of Mathematics,ankaya University
来源：
Communications in Theoretical Physics | 2016年 / 65卷 / 01期
关键词：
Erdelyi–Kober derivative; time fractional Fisher equation; Lie point symmetry;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this letter,the Lie point symmetries of the time fractional Fisher(TFF) equation have been derived using a systematic investigation.Using the obtained Lie point symmetries,TFF equation has been transformed into a different nonlinear fractional ordinary differential equations with the Erd′elyi–Kober fractional derivative which depends on the parameter α.After that some invariant solutions of underlying equation are reported.
引用
收藏
页码：11 / 16
页数：6
相关论文
共 50 条
  • [21] Analytical Solution of Generalized Space-Time Fractional Cable Equation
    Saxena, Ram K.
    Tomovski, Zivorad
    Sandev, Trifce
    MATHEMATICS, 2015, 3 (02) : 153 - 170
  • [22] Analytical solution for a generalized space-time fractional telegraph equation
    Fino, Ahmad Z.
    Ibrahim, Hassan
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (14) : 1813 - 1824
  • [23] An Efficient Numerical Technique for Solving Time-Fractional Generalized Fisher's Equation
    Majeed, Abdul
    Kamran, Mohsin
    Abbas, Muhammad
    Singh, Jagdev
    FRONTIERS IN PHYSICS, 2020, 8
  • [24] APPROXIMATE ANALYTICAL SOLUTIONS OF GENERALIZED FRACTIONAL KORTEWEG-DE VRIES EQUATION
    Deng, Shuxian
    Deng, Zihao
    THERMAL SCIENCE, 2023, 27 (3A): : 1873 - 1879
  • [25] A class of explicit implicit alternating difference schemes for generalized time fractional Fisher equation
    Qin, Xiao
    Yang, Xiaozhong
    Lyu, Peng
    AIMS MATHEMATICS, 2021, 6 (10): : 11449 - 11466
  • [26] Lie symmetry analysis, conservation laws and analytical solutions for a generalized time-fractional modified KdV equation
    Qin, Chun-Yan
    Tian, Shou-Fu
    Wang, Xiu-Bin
    Zhang, Tian-Tian
    WAVES IN RANDOM AND COMPLEX MEDIA, 2019, 29 (03) : 456 - 476
  • [27] Generalized solutions of an equation with fractional derivatives
    Stankovic, B.
    Atanackovic, T. M.
    EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2009, 20 : 215 - 229
  • [28] MULTIPLE EXACT SOLUTIONS OF THE GENERALIZED TIME FRACTIONAL FOAM DRAINAGE EQUATION
    Shi, Dandan
    Zhang, Yufeng
    Liu, Wenhao
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2020, 28 (04)
  • [29] Explicit solutions to the time-fractional generalized dissipative Kawahara equation
    Alquran, Marwan
    Ali, Mohammed
    Alshboul, Omar
    JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2024, 9 (04) : 348 - 352
  • [30] ANALYTICAL SOLUTIONS TO A GENERALIZED GROWTH EQUATION
    VOIT, EO
    SAVAGEAU, MA
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1984, 103 (02) : 380 - 386
12345