An epidemiological model for computer virus with Atangana-Baleanu fractional derivative

被引:24
|
作者
Ravichandran, C. [1 ]
Logeswari, K. [1 ]
Khan, Aziz [2 ]
Abdeljawad, Thabet [2 ,3 ,4 ]
Gomez-Aguilar, J. F. [5 ]
机构
[1] Kongunadu Arts & Sci Coll, Dept Math, Coimbatore 641029, Tamil Nadu, India
[2] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia
[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan
[4] Kyung Hee Univ, Dept Math, 26 Kyungheedae Ro, Seoul 02447, South Korea
[5] CONACyT Tecnol Nacl Mexico, CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico
关键词
Mittag-leffler kernel; ITID model; Numerical approximation; Fixed point theory; MITTAG-LEFFLER; MATHEMATICAL-MODELS; SIMULATIONS; EQUATION;
D O I
10.1016/j.rinp.2023.106601
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The Era of data is transubstantiating into a Big Data model in this technological world in the early 21st century. In 2005, Roger Mougalas coined a combination of data for this future world of the human race. The information helps to find specific solutions for any physical problem under Catastrophic circumstances in high populations such as Covid-19. To store massive data and historical events in a computer, the possibility of damage occurred to the complete data. Hence, viruses are a crucial threat to such data worth millions and billions. For this purpose, we spend enormous costs and efforts to build defensive strategies to save that information. Analyzing the expansion and extension of viruses helps to protect data and prevent viruses. In this manuscript, we study optimal control analysis for the suggested model in the sense of the Atangana-Baleanu derivative (AB-derivative). We employed a fixed point theorem to analyze the solutions for the fractional order computer virus model. We verified the results numerically and expressed them graphically.
引用
收藏
页数:8
相关论文
共 50 条
  • [21] Study of fractional order rabies transmission model via Atangana-Baleanu derivative
    Zainab, Marya
    Boulaaras, Salah
    Aslam, Adnan
    Shafiq, Sidra
    Hussain, Takasar
    Ozair, Muhammad
    SCIENTIFIC REPORTS, 2024, 14 (01):
  • [22] Fuzzy fractional differential equations with the generalized Atangana-Baleanu fractional derivative
    Vu, Ho
    Ghanbari, Behzad
    Ngo Van Hoa
    FUZZY SETS AND SYSTEMS, 2022, 429 : 1 - 27
  • [23] Real world applications of fractional models by Atangana-Baleanu fractional derivative
    Bas, Erdal
    Ozarslan, Ramazan
    CHAOS SOLITONS & FRACTALS, 2018, 116 : 121 - 125
  • [24] Numerical analysis of dissipative system with noise model with the Atangana-Baleanu fractional derivative
    Alkahtani, Badr Saad T.
    CHAOS SOLITONS & FRACTALS, 2018, 116 : 239 - 248
  • [25] Modelling and simulation of a dynamical system with the Atangana-Baleanu fractional derivative
    Kolade M. Owolabi
    The European Physical Journal Plus, 133
  • [26] Modeling and analysis of an epidemic model with fractal-fractional Atangana-Baleanu derivative
    El-Dessoky, M. M.
    Khan, Muhammad Altaf
    ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (01) : 729 - 746
  • [27] Modeling and analysis of a fractional anthroponotic cutaneous leishmania model with Atangana-Baleanu derivative
    Haq, Ikramul
    Khan, Amir
    Ahmad, Saeed
    Ali, Amir
    Rahman, Mati Ur
    COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING, 2022, 25 (15) : 1722 - 1743
  • [28] Modelling immune systems based on Atangana-Baleanu fractional derivative
    Al-khedhairi, A.
    Elsadany, A. A.
    Elsonbaty, A.
    CHAOS SOLITONS & FRACTALS, 2019, 129 : 25 - 39
  • [29] A fractional dynamics of tuberculosis (TB) model in the frame of generalized Atangana-Baleanu derivative
    Shatanawi, Wasfi
    Abdo, Mohammed S.
    Abdulwasaa, Mansour A.
    Shah, Kamal
    Panchal, Satish K.
    Kawale, Sunil, V
    Ghadle, Kirtiwant P.
    RESULTS IN PHYSICS, 2021, 29
  • [30] Modelling and simulation of a dynamical system with the Atangana-Baleanu fractional derivative
    Owolabi, Kolade M.
    EUROPEAN PHYSICAL JOURNAL PLUS, 2018, 133 (01):