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
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
  • [41] Numerical solution for solving fractional parabolic partial differential equations
    Rashidinia, Jalil
    Mohmedi, Elham
    [J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2022, 10 (01): : 121 - 143
  • [42] A NEW NUMERICAL TECHNIQUE FOR SOLVING FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
    Acan, Omer
    Baleanu, Dumitru
    [J]. MISKOLC MATHEMATICAL NOTES, 2018, 19 (01) : 3 - 18
  • [43] Novel Approaches for Solving Fuzzy Fractional Partial Differential Equations
    Osman, Mawia
    Xia, Yonghui
    Marwan, Muhammad
    Omer, Omer Abdalrhman
    [J]. FRACTAL AND FRACTIONAL, 2022, 6 (11)
  • [44] New collocation scheme for solving fractional partial differential equations
    Kanwal, Afshan
    Phang, Chang
    Loh, Jian Rong
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 49 (03): : 1107 - 1125
  • [45] Numerical Multistep Approach for Solving Fractional Partial Differential Equations
    Al-Smadi, Mohammed
    Freihat, Asad
    Khalil, Hammad
    Momani, Shaher
    Khan, Rahmat Ali
    [J]. INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 14 (03)
  • [46] A new approach for solving a system of fractional partial differential equations
    Jafari, H.
    Nazari, M.
    Baleanu, D.
    Khalique, C. M.
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (05) : 838 - 843
  • [47] Modified Fourier Transform for Solving Fractional Partial Differential Equations
    Hasanah, Dahliatul
    Sisworo
    Supeno, Imam
    [J]. 3RD INTERNATIONAL CONFERENCE ON MATHEMATICS AND SCIENCE EDUCATION (ICOMSE) 2019: STRENGTHENING MATHEMATICS AND SCIENCE EDUCATION RESEARCH FOR THE CHALLENGE OF GLOBAL SOCIETY, 2020, 2215
  • [48] Solving fractional partial differential equations via a new scheme
    Qazza, Ahmad
    Saadeh, Rania
    Salah, Emad
    [J]. AIMS MATHEMATICS, 2023, 8 (03): : 5318 - 5337
  • [49] Fractional generalised homotopy analysis method for solving nonlinear fractional differential equations
    Saratha, S. R.
    Bagyalakshmi, M.
    Krishnan, G.
    [J]. COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (02):
  • [50] Fractional generalised homotopy analysis method for solving nonlinear fractional differential equations
    S. R. Saratha
    M. Bagyalakshmi
    G. Sai Sundara Krishnan
    [J]. Computational and Applied Mathematics, 2020, 39