A fractional characteristic method for solving fractional partial differential equations

被引：26
|
作者：
Wu, Guo-cheng [1 ]
机构：
[1] Qujing Normal Univ, Coll Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 07期
关键词：
Modified Riemann-Liouville derivative; Fractional characteristics method; Fractional partial differential equations; CALCULUS; MODEL;
D O I：
10.1016/j.aml.2011.01.020
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The method of characteristics has played a very important role in mathematical physics. Previously, it has been employed to solve the initial value problem for partial differential equations of first order. In this work, we propose a new fractional characteristic method and use it to solve some fractional partial differential equations. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1046 / 1050
页数：5
相关论文
共 50 条
  • [31] Haar wavelet operational matrix method for solving fractional partial differential equations
    Yi, M., 1600, Tech Science Press (88):
  • [32] Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations
    Yi, Mingxu
    Chen, Yiming
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2012, 88 (03): : 229 - 243
  • [33] Solving Nonlinear Fractional Partial Differential Equations Using the Homotopy Analysis Method
    Dehghan, Mehdi
    Manafian, Jalil
    Saadatmandi, Abbas
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 26 (02) : 448 - 479
  • [34] Applying Discrete Homotopy Analysis Method for Solving Fractional Partial Differential Equations
    Ozpinar, Figen
    ENTROPY, 2018, 20 (05)
  • [35] Solving spatial-fractional partial differential diffusion equations by spectral method
    Nie, Ningming
    Huang, Jianfei
    Wang, Wenjia
    Tang, Yifa
    JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2014, 84 (06) : 1173 - 1189
  • [36] Extended Fractional Reduced Differential Transform for Solving Fractional Partial Differential Equations with Proportional Delay
    Singh B.K.
    Kumar P.
    International Journal of Applied and Computational Mathematics, 2017, 3 (Suppl 1) : 631 - 649
  • [37] Improvements in a method for solving fractional integral equations with some links with fractional differential equations
    Daniel Cao Labora
    Rosana Rodríguez-López
    Fractional Calculus and Applied Analysis, 2018, 21 : 174 - 189
  • [38] IMPROVEMENTS IN A METHOD FOR SOLVING FRACTIONAL INTEGRAL EQUATIONS WITH SOME LINKS WITH FRACTIONAL DIFFERENTIAL EQUATIONS
    Cao Labora, Daniel
    Rodriguez-Lopez, Rosana
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (01) : 174 - 189
  • [39] Local Fractional Variational Iteration Method for Solving Nonlinear Partial Differential Equations within Local Fractional Operators
    Jafari, Hossein
    Jassim, Hassan Kamil
    APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL, 2015, 10 (02): : 1055 - 1065
  • [40] Local Fractional Laplace Variational Iteration Method for Solving Linear Partial Differential Equations with Local Fractional Derivative
    Yang, Ai-Min
    Li, Jie
    Srivastava, H. M.
    Xie, Gong-Nan
    Yang, Xiao-Jun
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
12345