An epidemiological model for computer virus with Atangana–Baleanu fractional derivative
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 Catastrophi...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-08-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723003947 |
| _version_ | 1797755088604758016 |
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| author | C. Ravichandran K. Logeswari Aziz Khan Thabet Abdeljawad J.F. Gómez-Aguilar |
| author_facet | C. Ravichandran K. Logeswari Aziz Khan Thabet Abdeljawad J.F. Gómez-Aguilar |
| author_sort | C. Ravichandran |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T17:41:51Z |
| format | Article |
| id | doaj.art-98fe56d7089a4d26a7a52e730d4f1b8f |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-03-12T17:41:51Z |
| publishDate | 2023-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-98fe56d7089a4d26a7a52e730d4f1b8f2023-08-04T05:46:57ZengElsevierResults in Physics2211-37972023-08-0151106601An epidemiological model for computer virus with Atangana–Baleanu fractional derivativeC. Ravichandran0K. Logeswari1Aziz Khan2Thabet Abdeljawad3J.F. Gómez-Aguilar4Department of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, IndiaDepartment of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, Tamil Nadu, IndiaDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi ArabiaDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, 11586 Riyadh, Saudi Arabia; Department of Medical Research, China Medical University, Taichung 40402, Taiwan; Department of Mathematics, Kyung Hee University 26 Kyungheedae-ro, Dongdaemun-gu, Seoul 02447, Korea, Seoul, Korea; Corresponding authors.CONACyT-Tecnológico Nacional de México/CENIDET. Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca, Morelos, Mexico; Corresponding authors.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.http://www.sciencedirect.com/science/article/pii/S2211379723003947Mittag-leffler kernelITID modelNumerical approximationFixed point theory |
| spellingShingle | C. Ravichandran K. Logeswari Aziz Khan Thabet Abdeljawad J.F. Gómez-Aguilar An epidemiological model for computer virus with Atangana–Baleanu fractional derivative Results in Physics Mittag-leffler kernel ITID model Numerical approximation Fixed point theory |
| title | An epidemiological model for computer virus with Atangana–Baleanu fractional derivative |
| title_full | An epidemiological model for computer virus with Atangana–Baleanu fractional derivative |
| title_fullStr | An epidemiological model for computer virus with Atangana–Baleanu fractional derivative |
| title_full_unstemmed | An epidemiological model for computer virus with Atangana–Baleanu fractional derivative |
| title_short | An epidemiological model for computer virus with Atangana–Baleanu fractional derivative |
| title_sort | epidemiological model for computer virus with atangana baleanu fractional derivative |
| topic | Mittag-leffler kernel ITID model Numerical approximation Fixed point theory |
| url | http://www.sciencedirect.com/science/article/pii/S2211379723003947 |
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