Homotopy perturbation method for solving Caputo-type fractional-order Volterra-Fredholm integro-differential equations

被引：66
|
作者：
Das, Pratibhamoy [1 ]
Rana, Subrata [1 ]
Ramos, Higinio [2 ]
机构：
[1] Indian Inst Technol Patna, Dept Math, Patna, Bihar, India
[2] Univ Salamanca, Dept Appl Math, Salamanca, Spain
来源：
COMPUTATIONAL AND MATHEMATICAL METHODS | 2019年 / 1卷 / 05期
关键词：
approximation method; Caputo fractional derivative; integro-differential equation; homotopy perturbation; Volterra-Fredholm equation;
D O I：
10.1002/cmm4.1047
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work considers the solution of fractional Volterra-Fredholm integro-differential equations. Here, we consider the approximation of the solution based on semi-analytical approaches. We use the homotopy perturbation method approach for this purpose. It is observed through different examples that the adopted strategy is not only an effective tool for approximation of the solution but also can lead to the exact solution of certain problems.
引用
收藏
页数：9
相关论文
共 50 条
  • [11] USAGE OF THE HOMOTOPY ANALYSISMETHOD FOR SOLVING FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATION OF THE SECOND KIND
    Hamoud, Ahmed A.
    Ghadle, Kirtiwant P.
    TAMKANG JOURNAL OF MATHEMATICS, 2018, 49 (04): : 301 - 315
  • [12] Existence and Uniqueness Results of Volterra-Fredholm Integro-Differential Equations via Caputo Fractional Derivative
    Ndiaye, Ameth
    Mansal, Fulgence
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [13] A new method for the solution of Volterra-Fredholm integro-differential equations
    Jafarzadeh, Yousef
    Ezzati, Reza
    TBILISI MATHEMATICAL JOURNAL, 2019, 12 (02) : 59 - 66
  • [14] On analysis of the fuzzy fractional order Volterra-Fredholm integro-differential equation
    Ahmad, Naveed
    Abd Ullah
    Ullah, Aman
    Ahmad, Shabir
    Shah, Kamal
    Ahmad, Imtiaz
    ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (01) : 1827 - 1838
  • [15] Laplace discrete decomposition method for solving nonlinear Volterra-Fredholm integro-differential equations
    Dawood, Lafta A.
    Hamoud, Ahmed A.
    Mohammed, Nedal M.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2020, 21 (02): : 158 - 163
  • [16] Numerical solution of nonlinear Volterra-Fredholm integro-differential equations using Homotopy Analysis Method
    Fariborzi Araghi M.A.
    Behzadi S.S.
    Journal of Applied Mathematics and Computing, 2011, 37 (1-2) : 1 - 12
  • [17] Euler wavelets method for solving fractional-order linear Volterra–Fredholm integro-differential equations with weakly singular kernels
    S. Behera
    S. Saha Ray
    Computational and Applied Mathematics, 2021, 40
  • [18] A spectral collocation method for solving Caputo-Liouville fractional order Fredholm integro-differential equations
    Saad, Khaled M.
    Khirallah, M. Q.
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (01): : 477 - 503
  • [19] Modified Homotopy Perturbation Method for Solving Linear Second-Order Fredholm Integro-Differential Equations
    Elbeleze, Asma Ali
    Kilicman, Adem
    Taib, Bachok M.
    FILOMAT, 2016, 30 (07) : 1823 - 1831
  • [20] A Numerical Method for Investigating Fractional Volterra-Fredholm Integro-Differential Model
    Syam, Muhammed I.
    Sharadga, Mwaffag
    Hashim, Ishak
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (03): : 1429 - 1448
12345