Solving Fuzzy Fractional Atangana-Baleanu Differential Equation Using Adams-Bashforth-Moulton Method

被引：0
|
作者：
Melliani, Said [1 ]
Zamtain, Fouziya [1 ]
Elomari, M'Hamed [1 ]
Chadli, Lalla Saadia [1 ]
机构：
[1] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Calculus, Beni Mellal, Morocco
来源：
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2023年 / 41卷
关键词：
Generalization Hukuhara difference; Lagrange Interpolation; Fuzzy Atangana-Baleanu fractional derivatives; Modified Trapezoidal rule; Adams-Bashforth-Moulton method;
D O I：
10.5269/bspm.63335
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This work is concerned with the numerical study of the fuzzy fractional equation involving the Atangana-Baleanu derivative in the sense of Caputo. We are going to apply the Adams Bashforth Moulton method to the equation concerned, which is an interconnection between the Lagrange approximation and the trapezoidal rule. We achieved this work by giving examples that illustrate this method.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method
    Baskonus, Haci Mehmet
    Bulut, Hasan
    [J]. OPEN MATHEMATICS, 2015, 13 : 547 - 556
  • [2] On the fuzzy fractional differential equation with interval Atangana-Baleanu fractional derivative approach
    Allahviranloo, Tofigh
    Ghanbari, Behzad
    [J]. CHAOS SOLITONS & FRACTALS, 2020, 130
  • [3] Fuzzy Differential Subordination of the Atangana-Baleanu Fractional Integral
    Lupas, Alina Alb
    Catas, Adriana
    [J]. SYMMETRY-BASEL, 2021, 13 (10):
  • [4] Inverse problem for the Atangana-Baleanu fractional differential equation
    Ruhil, Santosh
    Malik, Muslim
    [J]. JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2023, 31 (05): : 763 - 779
  • [5] Performance modeling of serial and parallel implementations of the fractional Adams-Bashforth-Moulton method
    Zhang, Wei
    Wei, Wenjie
    Cai, Xing
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (03) : 617 - 637
  • [6] Adams–Bashforth Moulton Numerical Approach on Dengue Fractional Atangana Baleanu Caputo Model and Stability Analysis
    Vijayalakshmi G.M.
    Ariyanatchi M.
    [J]. International Journal of Applied and Computational Mathematics, 2024, 10 (1)
  • [7] Method Adams-Bashforth-Moulton to calculate the nuclear power
    Suescun Diaz, Daniel
    Narvaez Paredes, Mauricio
    Figueroa Jimenez, Jorge Hernando
    Amador Rodriguez, Andres Felipe
    [J]. HOMBRE Y LA MAQUINA, 2013, (42-43): : 9 - 12
  • [8] A variant of Adams - Bashforth - Moulton method to solve fractional ordinary differential equation
    Blasik, Marek
    [J]. 2015 20TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2015, : 1175 - 1178
  • [9] Fuzzy fractional delay integro-differential equation with the generalized Atangana-Baleanu fractional derivative
    Wang, Guotao
    Feng, Meihua
    Zhao, Xianghong
    Yuan, Hualei
    [J]. DEMONSTRATIO MATHEMATICA, 2024, 57 (01)
  • [10] Fuzzy fractional differential equations with the generalized Atangana-Baleanu fractional derivative
    Vu, Ho
    Ghanbari, Behzad
    Ngo Van Hoa
    [J]. FUZZY SETS AND SYSTEMS, 2022, 429 : 1 - 27
12345