Sumudu Decomposition Method for Solving Fuzzy Integro-Differential Equations

被引:2
|
作者
Kang, Shin Min [1 ,2 ,3 ]
Iqbal, Zain [4 ]
Habib, Mustafa [4 ]
Nazeer, Waqas [5 ]
机构
[1] Gyeongsang Natl Univ, Dept Math, Jinju 52828, South Korea
[2] Gyeongsang Natl Univ, Res Inst Nat Sci, Jinju 52828, South Korea
[3] China Med Univ, Ctr Gen Educ, Taichung 40402, Taiwan
[4] Univ Engn & Technol, Dept Math, Lahore 54000, Pakistan
[5] Univ Educ, Div Sci & Technol, Lahore 54000, Pakistan
关键词
integro-differentials; Sumudu decomposition method; dynamical system;
D O I
10.3390/axioms8020074
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Different results regarding different integro-differentials are usually not properly generalized, as they often do not satisfy some of the constraints. The field of fuzzy integro-differentials is very rich these days because of their different applications and functions in different physical phenomena. Solutions of linear fuzzy Volterra integro-differential equations (FVIDEs) are more generalized and have better applications. In this report, the Sumudu decomposition method (SDM) was used to find the solution to some linear and nonlinear fuzzy integro-differential equations (FIDEs). Some examples are given to show the validity of the presented method.
引用
收藏
页数:18
相关论文
共 50 条
  • [21] On the Use of Elzaki Decomposition Method for Solving Higher-Order Integro-Differential Equations
    Al-Rawi, Ekhlass S.
    Samarchi, Merna A.
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2022, 2022
  • [22] Adomian decomposition method for solving BVPs for fourth-order integro-differential equations
    Hashim, Ishak
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 193 (02) : 658 - 664
  • [23] THE MODIFIED DECOMPOSITION METHOD FOR SOLVING VOLTERRA FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS USING MAPLE
    Maturi, Dalal Adnan
    Simbawa, Eman Ahmed M.
    [J]. INTERNATIONAL JOURNAL OF GEOMATE, 2020, 18 (67): : 84 - 89
  • [24] Shifted Jacobi spectral collocation method with convergence analysis for solving integro-differential equations and system of integro-differential equations
    Doha, Eid H.
    Abdelkawy, Mohamed A.
    Amin, Ahmed Z. M.
    Baleanu, Dumitru
    [J]. NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2019, 24 (03): : 332 - 352
  • [25] A NEW APPROACH FOR SOLVING FUZZY LINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS
    Ghanbari, M.
    [J]. IRANIAN JOURNAL OF FUZZY SYSTEMS, 2016, 13 (06): : 69 - 87
  • [26] Solving nonlinear integro-differential equations using numerical method
    Ramdani, Nedjem Eddine
    Pinelas, Sandra
    [J]. TURKISH JOURNAL OF MATHEMATICS, 2022, 46 (01) : 675 - 687
  • [27] Solving Integro-Differential Equations by a Semi-Analytic Method
    Fardi, M.
    Ghasemi, M.
    Boroujeni, F. Hemati
    [J]. JOURNAL OF MATHEMATICAL EXTENSION, 2012, 6 (02) : 75 - 90
  • [28] A Novel Numerical Method for Solving Volterra Integro-Differential Equations
    Patade J.
    Bhalekar S.
    [J]. International Journal of Applied and Computational Mathematics, 2020, 6 (1)
  • [29] A projection method for solving Cauchy singular integro-differential equations
    Mennouni, Abdelaziz
    [J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (06) : 986 - 989
  • [30] A NUMERICAL METHOD FOR SOLVING SYSTEMS OF HYPERSINGULAR INTEGRO-DIFFERENTIAL EQUATIONS
    de Bonis M.C.
    Mennouni A.
    Occorsio D.
    [J]. Electronic Transactions on Numerical Analysis, 2023, 58 : 378 - 393