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Journals / Celal Bayar Üniversitesi Fen Bilimleri Dergisi / 2021 / Cilt: 17 - Sayı: 1

Existence Results for a Computer Virus Spreading Model with Atangana-Baleanu Derivative

Sumeyra UCAR
Pages
67–72
Publication Date
2020-12-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The solution properties of our fractional model are established benefiting from Arzelo-Ascoli theorem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:A computer virus is actually a kind of computer program that changes the operation of the computer and tries to hide itself in other files without the user's consent or knowledge.
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Key Findings & Data:In this paper we deal with a computer virus spreading model benefiting from Atangana-Baleanu derivative in Caputo sense with non- local and non- singular kernels.
💡
Conclusion & Impact:The solution properties of our fractional model are established benefiting from Arzelo-Ascoli theorem.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Arzelo-Ascoli theorem · Atangana-Baleanu derivative · existence and uniqueness

Abstract

A computer virus is actually a kind of computer program that changes the operation of the computer and tries to hide itself in other files without the user's consent or knowledge. In this paper we deal with a computer virus spreading model benefiting from Atangana-Baleanu derivative in Caputo sense with non- local and non- singular kernels. The solution properties of our fractional model are established benefiting from Arzelo-Ascoli theorem.

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Cite This Article

UCAR, S. (2020). Existence Results for a Computer Virus Spreading Model with Atangana-Baleanu Derivative. Celal Bayar Üniversitesi Fen Bilimleri Dergisi, Cilt: 17 - Sayı: 1, 67–72. https://ajindex.com/articles/116484

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References (16)

  1. Piqueira, JRC, Araujo, VO. 2009. A modified epidemiological model for computer viruses, Applied Mathematics and Computation; 213(2): 355–360
  2. Wierman, JC, Marchette, DJ. 2004. Modeling computer virus prevalence with a susceptible-infected susceptible model with reintroduction, Computational Statistics Data Analysis; 45(1): 3–23
  3. Li, XZ, Zhou, LL. 2009. Global stability of an SEIR epidemic model with vertical transmission and saturating contact rate, Chaos Solitons & Fractals; 40(2): 874–884
  4. Li, G, Zhen, J. 2005. Global stability of an SEI epidemic model with general contact rate, Chaos, Solitons Fractals; 23(3): 997–1004
  5. Jin, Y, Wang, W, Xiao, S. 2007. An SIRS model with a nonlinear incidence rate, Chaos, Solitons Fractals; 34(5): 1482–1497
  6. Yang, LX, Yang, XF, Zhu, QY, Wen, LS. 2013. A computer virus model with graded cure rates, Nonlinear Analysis: Real World Applications; 14(1): 414-442
  7. Yang, LX, Yang, XF. 2012. The spread of computer viruses under the influence of removable storage devices, Applied Mathematics and Computation; 219(8): 3419-3422
  8. Wang, FG, Zhang, YK, Wang, CG, Ma, JF, Moon, SJ. 2010. Stability analysis of a SEIQV epidemic model for rapid spreading worms, Computers & Security; 29(4): 410-418
  9. Özdemir, N, Karadeniz, D, İskender, BB. 2009. Fractional optimal control problem of a distributed system in cylindrical coordinates, Physics Letters A; 373(2): 221-226
  10. Oldham, KB, Spanier, J. The Fractional Calculus; New York, Academic Press, 1974
  11. Kilbas, AA, Srivastava, HM, Trujillo, JJ. Theory and applications of fractional differential equations; Amsterdam, Elsevier, 2006
  12. Özdemir, N, Agrawal, OP, İskender, BB, Karadeniz, D. 2009. Fractional optimal control of a 2-dimensional distributed system using eigenfunctions. Nonlinear Dynamics; 55:251-260
  13. Yavuz, M, Özdemir, N. 2018. European vanilla option pricing model of fractional order without singular kernel. Fractal Fractional; 2(1): 3
  14. Evirgen, F. 2011. Multistage adomian decomposition method for solving NLP problems over a nonlinear fractional dynamical system, Journal of Computational and Nonlinear Dynamics; 6
  15. Evirgen, F. 2016. Analyze the optimal solutions of optimization problems by means of fractional gradient based system using VIM, An International Journal of Optimization and Control: Theories & Applications (IJOCTA); 6(2): 75-83
  16. Atangana, A, Koca, İ. 2016. On the new fractional derivative and application to nonlinear Baggs andFr