On Modeling the Non-Classical Dynamics of Computer Virus Propagation Using a Model with a Generalized Composite Derivative.
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| Title: | On Modeling the Non-Classical Dynamics of Computer Virus Propagation Using a Model with a Generalized Composite Derivative. |
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| Authors: | Bulavatsky, V. M.1 (AUTHOR) v_bulav@ukr.net |
| Source: | Cybernetics & Systems Analysis. Mar2026, Vol. 62 Issue 2, p269-279. 11p. |
| Subjects: | Fractional differential equations, Computer viruses, Epidemiological models, Fractional calculus, Nonlinear integral equations, Mathematical models, Quantitative research |
| Abstract: | The mathematical model of SIRS epidemiological dynamics is generalized to incorporate nonlocal effects in the propagation of computer viruses. The problem of modeling the fractional-differential dynamics of computer viruses using a model with a bi-ordinal, two-type Hilfer derivative with respect to the unknown functions is considered. The problem with the final condition for a nonlinear fractional differential equation with a bi-ordinal, two-type derivative is formulated and reduced to solving the corresponding nonlinear integral equation. The aspects of qualitative analysis related to this problem are examined. [ABSTRACT FROM AUTHOR] |
| Copyright of Cybernetics & Systems Analysis is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 193628921 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: On Modeling the Non-Classical Dynamics of Computer Virus Propagation Using a Model with a Generalized Composite Derivative. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Bulavatsky%2C+V%2E+M%2E%22">Bulavatsky, V. M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> v_bulav@ukr.net</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Cybernetics+%26+Systems+Analysis%22">Cybernetics & Systems Analysis</searchLink>. Mar2026, Vol. 62 Issue 2, p269-279. 11p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Fractional+differential+equations%22">Fractional differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+viruses%22">Computer viruses</searchLink><br /><searchLink fieldCode="DE" term="%22Epidemiological+models%22">Epidemiological models</searchLink><br /><searchLink fieldCode="DE" term="%22Fractional+calculus%22">Fractional calculus</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+integral+equations%22">Nonlinear integral equations</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Quantitative+research%22">Quantitative research</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The mathematical model of SIRS epidemiological dynamics is generalized to incorporate nonlocal effects in the propagation of computer viruses. The problem of modeling the fractional-differential dynamics of computer viruses using a model with a bi-ordinal, two-type Hilfer derivative with respect to the unknown functions is considered. The problem with the final condition for a nonlinear fractional differential equation with a bi-ordinal, two-type derivative is formulated and reduced to solving the corresponding nonlinear integral equation. The aspects of qualitative analysis related to this problem are examined. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Cybernetics & Systems Analysis is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=193628921 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10559-026-00863-6 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 11 StartPage: 269 Subjects: – SubjectFull: Fractional differential equations Type: general – SubjectFull: Computer viruses Type: general – SubjectFull: Epidemiological models Type: general – SubjectFull: Fractional calculus Type: general – SubjectFull: Nonlinear integral equations Type: general – SubjectFull: Mathematical models Type: general – SubjectFull: Quantitative research Type: general Titles: – TitleFull: On Modeling the Non-Classical Dynamics of Computer Virus Propagation Using a Model with a Generalized Composite Derivative. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Bulavatsky, V. M. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 10600396 Numbering: – Type: volume Value: 62 – Type: issue Value: 2 Titles: – TitleFull: Cybernetics & Systems Analysis Type: main |
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