Numerical Solutions for Systems of Nonlinear Fractional Ordinary Differential Equations Using the FNDM

被引：0
|
作者：
Mahmoud S. Rawashdeh
Hadeel Al-Jammal
机构：
[1] Jordan University of Science and Technology,Department of Mathematics and Statistics
来源：
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词：
35Q61; 44A10; 44A15; 44A20; 44A30; 44A35; 81V10; Fractional natural decomposition method; System of fractional differential equations; Caputo fractional derivative;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new technique has been developed for analytical solutions of fractional order nonlinear ODE system. We propose a reliable method called the fractional natural decomposition method (FNDM). The FNDM is based on the natural transform method (NTM) and the Adomian decomposition method. We use the FNDM to construct new analytical approximate and exact solutions to systems of nonlinear fractional ordinary differential equation (NLFODEs). The fractional derivatives are described in the Caputo sense.
引用
收藏
页码：4661 / 4677
页数：16
相关论文
共 50 条
  • [1] Numerical Solutions for Systems of Nonlinear Fractional Ordinary Differential Equations Using the FNDM
    Rawashdeh, Mahmoud S.
    Al-Jammal, Hadeel
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (06) : 4661 - 4677
  • [2] New approximate solutions to fractional nonlinear systems of partial differential equations using the FNDM
    Mahmoud S Rawashdeh
    Hadeel Al-Jammal
    [J]. Advances in Difference Equations, 2016
  • [3] New approximate solutions to fractional nonlinear systems of partial differential equations using the FNDM
    Rawashdeh, Mahmoud S.
    Al-Jammal, Hadeel
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [4] Numerical Solutions of Ordinary Fractional Differential Equations with Singularities
    Dimitrov, Yuri
    Dimov, Ivan
    Todorov, Venelin
    [J]. ADVANCED COMPUTING IN INDUSTRIAL MATHEMATICS (BGSIAM 2017), 2019, 793 : 77 - 91
  • [5] The approximate analytical solutions of nonlinear fractional ordinary differential equations
    Alzaki, Lamees K.
    Jassim, Hassan Kamil
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2021, 12 (02): : 527 - 535
  • [6] Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations
    Zhou, Xiaojun
    Xu, Chuanju
    [J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2017, 9 (03) : 574 - 595
  • [7] Series Solutions of Systems of Nonlinear Fractional Differential Equations
    A. S. Bataineh
    A. K. Alomari
    M. S. M. Noorani
    I. Hashim
    R. Nazar
    [J]. Acta Applicandae Mathematicae, 2009, 105 : 189 - 198
  • [8] Series Solutions of Systems of Nonlinear Fractional Differential Equations
    Bataineh, A. S.
    Alomari, A. K.
    Noorani, M. S. M.
    Hashim, I.
    Nazar, R.
    [J]. ACTA APPLICANDAE MATHEMATICAE, 2009, 105 (02) : 189 - 198
  • [9] Asymptotic Behavior of the Solutions of Nonlinear Systems of Ordinary Differential Equations
    Evtukhov V.M.
    Talimonchak M.A.
    [J]. Journal of Mathematical Sciences, 2015, 208 (5) : 535 - 550
  • [10] Periodic Solutions of a Class of Nonlinear Systems of Ordinary Differential Equations
    G. Marino
    R. Toskano
    [J]. Differential Equations, 2004, 40 : 502 - 514
12345