A fractional order HIV/AIDS epidemic model with Mittag-Leffler kernel

被引：0
|
作者：
Muhammad Aslam
Rashid Murtaza
Thabet Abdeljawad
Ghaus ur Rahman
Aziz Khan
Hasib Khan
Haseena Gulzar
机构：
[1] Mohi-ud-din Islamic University,Department of Mathematics
[2] Prince Sultan University,Department of Mathematics and General Sciences
[3] China Medical University,Department of Medical Research
[4] Asia University,Department of Computer Science and Information Engineering
[5] University of Swat,Department of Mathematics and Statistics
[6] Shaheed Benazir Bhutto University,Department of Mathematics
[7] Shaheed Benazir Bhutto University,Department of Biotechnology
来源：
Advances in Difference Equations | / 2021卷
关键词：
Fractional order HIV/AIDS model; Existence of solution; Hyers–Ulam stability; Numerical solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we study a fractional order HIV/AIDS infection model with ABC-fractional derivative. The model is based on four classes of a population. The study includes the existence and uniqueness of solution, the stability analysis, and simulations. We utilize the fixed point technique for the existence and uniqueness analysis. The stability of the fractional order model is derived with the help of existing literature for the Hyers–Ulam stability. For the numerical computations, the Lagrange interpolation is utilized, and the simulations are obtained for specific parameters. The results are closer to the classical results for different orders.
引用
收藏
相关论文
共 50 条
  • [21] A fractional order HIV-TB coinfection model with nonsingular Mittag-Leffler Law
    Khan, Hasib
    Gomez-Aguilar, J. F.
    Alkhazzan, Abdulwasea
    Khan, Aziz
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (06) : 3786 - 3806
  • [22] New bilingualism model based on fractional operators with Mittag-Leffler kernel
    Gomez-Aguilar, J. F.
    JOURNAL OF MATHEMATICAL SOCIOLOGY, 2017, 41 (03): : 172 - 184
  • [23] On a New Definition of Fractional Differintegrals with Mittag-Leffler Kernel
    Fernandez, Arran
    Baleanu, Dumitru
    FILOMAT, 2019, 33 (01) : 245 - 254
  • [24] On the recurrent computation of fractional operator with Mittag-Leffler kernel
    Bohaienko, Vsevolod
    APPLIED NUMERICAL MATHEMATICS, 2021, 162 : 137 - 149
  • [25] FRACTIONAL ORDER VOLTERRA INTEGRO-DIFFERENTIAL EQUATION WITH MITTAG-LEFFLER KERNEL
    Khan, Hasib
    Abdeljawad, Thabet
    Gomez-Aguilar, J. F.
    Tajadodi, Haleh
    Khan, Aziz
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (06)
  • [26] Fractional order volterra integro-differential equation with mittag-leffler kernel
    Khan, Hasib
    Abdeljawad, Thabet
    Gómez-Aguilar, J.F.
    Tajadodi, Haleh
    Khan, Aziz
    Fractals, 2021, 29 (06):
  • [27] The Schrodinger-KdV equation of fractional order with Mittag-Leffler nonsingular kernel
    Yavuz, Mehmet
    Sulaiman, Tukur Abdulkadir
    Yusuf, Abdullahi
    Abdeljawad, Thabet
    ALEXANDRIA ENGINEERING JOURNAL, 2021, 60 (02) : 2715 - 2724
  • [28] A fractional order Zika virus model with Mittag?Leffler kernel
    Begum, Razia
    Tunc, Osman
    Khan, Hasib
    Gulzar, Haseena
    Khan, Aziz
    CHAOS SOLITONS & FRACTALS, 2021, 146
  • [29] Mittag-Leffler stability and generalized Mittag-Leffler stability of fractional-order gene regulatory networks
    Ren, Fengli
    Cao, Feng
    Cao, Jinde
    NEUROCOMPUTING, 2015, 160 : 185 - 190
  • [30] Study of fuzzy fractional order diffusion problem under the Mittag-Leffler Kernel Law
    Arfan, Muhammad
    Shah, Kamal
    Ullah, Aman
    Abdeljawad, Thabet
    PHYSICA SCRIPTA, 2021, 96 (07)
12345