Fractional-Order Legendre Functions for Solving Fractional Delay Differential Equations

被引:0
|
作者
Samira Mesgari
Zahra Barikbin
机构
[1] Imam Khomeini International University,Department of Applied Mathematics
关键词
Fractional-order Legendre functions; Fractional delay differential equations; Operational matrix; Numerical solution; Numerical stability;
D O I
暂无
中图分类号
学科分类号
摘要
This research propounds a fractional-order Legendre functions operational matrix of fractional integration in order to solve the fractional delay differential equations. The fractional derivative is regarded in the Caputo sense. The suggested method is implemented to reduce the problem to the solution of a system of algebraic equations. Using the presented method, some examples are solved and numerical stability of the proposed method is examined. Compared to other published methods, the presented technique proved to be more accurate.
引用
收藏
页码:1673 / 1683
页数:10
相关论文
共 50 条
  • [1] Fractional-Order Legendre Functions for Solving Fractional Delay Differential Equations
    Mesgari, Samira
    Barikbin, Zahra
    [J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2020, 44 (06): : 1673 - 1683
  • [2] Fractional-order Legendre functions for solving fractional-order differential equations
    Kazem, S.
    Abbasbandy, S.
    Kumar, Sunil
    [J]. APPLIED MATHEMATICAL MODELLING, 2013, 37 (07) : 5498 - 5510
  • [3] Fractional-order Fibonacci-hybrid functions approach for solving fractional delay differential equations
    Sabermahani, Sedigheh
    Ordokhani, Yadollah
    Yousefi, Sohrab-Ali
    [J]. ENGINEERING WITH COMPUTERS, 2020, 36 (02) : 795 - 806
  • [4] Fractional-order Fibonacci-hybrid functions approach for solving fractional delay differential equations
    Sedigheh Sabermahani
    Yadollah Ordokhani
    Sohrab-Ali Yousefi
    [J]. Engineering with Computers, 2020, 36 : 795 - 806
  • [5] A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations
    Mohammadi, Fakhrodin
    Cattani, Carlo
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 339 : 306 - 316
  • [6] Numerical Approach Based on Two-Dimensional Fractional-Order Legendre Functions for Solving Fractional Differential Equations
    Huang, Qingxue
    Zhao, Fuqiang
    Xie, Jiaquan
    Ma, Lifeng
    Wang, Jianmei
    Li, Yugui
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2017, 2017
  • [7] Fractional-order Legendre-Laguerre functions and their applications in fractional partial differential equations
    Dehestani, H.
    Ordokhani, Y.
    Razzaghi, M.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2018, 336 : 433 - 453
  • [8] An effective numerical method for solving fractional delay differential equations using fractional-order Chelyshkov functions
    Ahmed, A. I.
    Al-Sharif, M. S.
    [J]. BOUNDARY VALUE PROBLEMS, 2024, 2024 (01):
  • [9] Couple of the Variational Iteration Method and Fractional-Order Legendre Functions Method for Fractional Differential Equations
    Yin, Fukang
    Song, Junqiang
    Leng, Hongze
    Lu, Fengshun
    [J]. SCIENTIFIC WORLD JOURNAL, 2014,
  • [10] Solving fractional pantograph delay differential equations via fractional-order Boubaker polynomials
    Rabiei, Kobra
    Ordokhani, Yadollah
    [J]. ENGINEERING WITH COMPUTERS, 2019, 35 (04) : 1431 - 1441