New numerical simulations for some real world problems with Atangana-Baleanu fractional derivative

被引：114
|
作者：
Gao, Wei [1 ]
Ghanbari, Behzad [2 ,3 ]
Baskonus, Haci Mehmet [4 ]
机构：
[1] Yunnan Normal Univ, Sch Informat Sci & Technol, Kunming 650500, Yunnan, Peoples R China
[2] Kermanshah Univ Technol, Dept Engn Sci, Kermanshah, Iran
[3] Bahcesehir Univ, Fac Engn & Nat Sci, Dept Biomed Engn, TR-34349 Istanbul, Turkey
[4] Harran Univ, Fac Educ, Dept Math & Sci Educ, Sanliurfa, Turkey
来源：
CHAOS SOLITONS & FRACTALS | 2019年 / 128卷
关键词：
Computational method; Fractional derivative; Differential operator; TRAVELING-WAVES; ZIKA VIRUS; MATHEMATICAL-ANALYSIS; HBV MODEL; EPIDEMIC; DIFFUSION; HIV/AIDS; DYNAMICS; SPREAD; CAPUTO;
D O I：
10.1016/j.chaos.2019.07.037
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work, we introduce ABC-Caputo operator with ML kernel and its main characteristics are discussed. Viral diseases models for AIDS and Zika are considered, and finally, as third model, the macroeconomic model involving ABC fractional derivatives is investigated, respectively. It is presented that the AB Caputo derivatives satisfy the Lipschitz condition along with superposition property. The numerical methods for solving the fractional models are presented by means of ABC fractional derivative in a detailed manner. Finally the simulation results obtained in this paper according to the suitable values of parameters are also manifested. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：34 / 43
页数：10
相关论文
共 50 条
  • [1] Real world applications of fractional models by Atangana-Baleanu fractional derivative
    Bas, Erdal
    Ozarslan, Ramazan
    [J]. CHAOS SOLITONS & FRACTALS, 2018, 116 : 121 - 125
  • [2] Optimal control problems with Atangana-Baleanu fractional derivative
    Tajadodi, Haleh
    Khan, Aziz
    Francisco Gomez-Aguilar, Jose
    Khan, Hasib
    [J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2021, 42 (01): : 96 - 109
  • [3] NUMERICAL ANALYSIS OF COUPLED FRACTIONAL DIFFERENTIAL EQUATIONS WITH ATANGANA-BALEANU FRACTIONAL DERIVATIVE
    Koca, Ilknur
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2019, 12 (03): : 475 - 486
  • [4] Analysis and numerical simulation of multicomponent system with Atangana-Baleanu fractional derivative
    Owolabi, Kolade M.
    [J]. CHAOS SOLITONS & FRACTALS, 2018, 115 : 127 - 134
  • [5] Numerical approximation of fractional burgers equation with Atangana-Baleanu derivative in Caputo sense
    Yadav, Swati
    Pandey, Rajesh K.
    [J]. CHAOS SOLITONS & FRACTALS, 2020, 133
  • [6] Freelance Model with Atangana-Baleanu Caputo Fractional Derivative
    Khan, Fareeha Sami
    Khalid, M.
    Al-moneef, Areej A.
    Ali, Ali Hasan
    Bazighifan, Omar
    [J]. SYMMETRY-BASEL, 2022, 14 (11):
  • [7] A Fractional SAIDR Model in the Frame of Atangana-Baleanu Derivative
    Ucar, Esmehan
    Ucar, Sumeyra
    Evirgen, Firat
    Ozdemir, Necati
    [J]. FRACTAL AND FRACTIONAL, 2021, 5 (02)
  • [8] Numerical Computation of Optimal Control Problems with Atangana-Baleanu Fractional Derivatives
    Liu, Chongyang
    Yu, Changjun
    Gong, Zhaohua
    Cheong, Huey Tyng
    Teo, Kok Lay
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2023, 197 (02) : 798 - 816
  • [9] A Numerical approach of fractional advection-diffusion equation with Atangana-Baleanu derivative
    Tajadodi, H.
    [J]. CHAOS SOLITONS & FRACTALS, 2020, 130
  • [10] Numerical analysis of dissipative system with noise model with the Atangana-Baleanu fractional derivative
    Alkahtani, Badr Saad T.
    [J]. CHAOS SOLITONS & FRACTALS, 2018, 116 : 239 - 248
12345