Iterative computational results for SEIAR worm propagation model using fractal-fractional approach

Volume 38, Issue 4, pp 430--445 https://dx.doi.org/10.22436/jmcs.038.04.02
Publication Date: January 24, 2025 Submission Date: November 11, 2024 Revision Date: November 27, 2024 Accteptance Date: December 15, 2024

Authors

J. Alzabut - Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia. - Department of Industrial Engineering, OSTIM Technical University, 06374 Ankara, Turkiye. - Center for Research and Innovation, Asia International University, Yangiobod MFY, G\'ijduvon street, House 74, Bukhara, Uzbekistan. R. Janagaraj - Department of Mathematics, Faculty of Engineering, Karpagam Academy of Higher Education, Coimbatore-641021, Tamil Nadu, India. A. G. M. Selvam - Department of Mathematics, Sacred Heart College, Tirupattur-635601, Tamil Nadu, India. R. Dhineshbabu - Department of Science and Humanities, R.M.K. College of Engineering and Technology (Autonomous), Thiruvallur-601 206, Tamil Nadu, India. H. Khan - Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia. - Department of Mathematics, Shaheed Benazir Bhutto Uniersity, Sheringal, Dir Upper, Khyber Pakhtunkhwa, Pakistan.


Abstract

The current work introduces a new fractal-fractional modeling approach for simulating worm-attacking dynamics in computer networks, all while keeping these motivations in mind. \[\textbf{Problem statement.}\] A computational and theoretical analysis of SEIR worm propagation model with the use of fractal-fractional operators. \[ \textbf{Main results.}\] The work includes existence, uniqueness, stability, and numerical simulation results. Existence results are analyzed using applications and fixed-point theory. Lagrange's interpolation polynomial forms are used to solve the non-dimensional fractal-fractional model of worm propagation in computer networks numerically. \[\textbf{Implications.}\] The solution is tested for a particular case using numerical values from readily and freely accessible sources. In comparison to classical and fractional solutions, the FF dynamical systems are more general, as can be seen from the graphical findings. These problems can further be analysed in the stochastic version for further deeper and scientific studies.


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ISRP Style

J. Alzabut, R. Janagaraj, A. G. M. Selvam, R. Dhineshbabu, H. Khan, Iterative computational results for SEIAR worm propagation model using fractal-fractional approach, Journal of Mathematics and Computer Science, 38 (2025), no. 4, 430--445

AMA Style

Alzabut J., Janagaraj R., Selvam A. G. M., Dhineshbabu R., Khan H., Iterative computational results for SEIAR worm propagation model using fractal-fractional approach. J Math Comput SCI-JM. (2025); 38(4):430--445

Chicago/Turabian Style

Alzabut, J., Janagaraj, R., Selvam, A. G. M., Dhineshbabu, R., Khan, H.. "Iterative computational results for SEIAR worm propagation model using fractal-fractional approach." Journal of Mathematics and Computer Science, 38, no. 4 (2025): 430--445


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