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Analytical and qualitative investigation of COVID-19 mathematical model under fractional differential operator

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dc.contributor.authorShah, Kamal
dc.contributor.authorRamzan, Muhammad Sher
dc.contributor.authorAlrabaiah, Hussam
dc.contributor.authorAhmadian, Ali
dc.contributor.authorSalahshour, Soheil
dc.contributor.authorPansera, Bruno Antonio
dc.contributor.institutionShah, Kamal, Department of Mathematics, University of Malakand, Chakdara, Pakistan
dc.contributor.institutionRamzan, Muhammad Sher, Department of Mathematics, University of Malakand, Chakdara, Pakistan
dc.contributor.institutionAlrabaiah, Hussam, College of Engineering, Al Ain University, Al Ain, United Arab Emirates, Department of Mathematics, Tafila Technical University, Tafila, Jordan
dc.contributor.institutionAhmadian, Ali, Institute of IR 4.0, Universiti Kebangsaan Malaysia, Bangi, Malaysia, Department of Mathematics, Yakın Doğu Üniversitesi, Nicosia, Cyprus
dc.contributor.institutionSalahshour, Soheil, Faculty of Engineering and Natural Sciences, Bahçeşehir Üniversitesi, Istanbul, Turkey
dc.contributor.institutionPansera, Bruno Antonio, Department of Law, Università degli Studi di Reggio Calabria, Reggio Calabria, Italy
dc.date.accessioned2025-10-05T15:03:11Z
dc.date.issued2023
dc.description.abstractIn the current article, we aim to study in detail a novel coronavirus (2019-nCoV or COVID-19) mathematical model for different aspects under Caputo fractional derivative. First, from analysis point of view, existence is necessary to be investigated for any applied problem. Therefore, we used fixed point theorem's due to Banach's and Schaefer's to establish some sufficient results regarding existence and uniqueness of the solution to the proposed model. On the other hand, stability is important in respect of approximate solution, so we have developed condition sufficient for the stability of Ulam–Hyers and their different types for the considered system. In addition, the model has also been considered for semianalytical solution via Laplace Adomian decomposition method (LADM). On Matlab, by taking some real data about Pakistan, we graph the obtained results. In the last of the manuscript, a detail discussion and brief conclusion are provided. © 2025 Elsevier B.V., All rights reserved.
dc.identifier.doi10.1002/mma.7704
dc.identifier.endpage8242
dc.identifier.issn01704214
dc.identifier.issn10991476
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85113205576
dc.identifier.startpage8223
dc.identifier.urihttps://doi.org/10.1002/mma.7704
dc.identifier.urihttps://hdl.handle.net/20.500.14719/8001
dc.identifier.volume46
dc.language.isoen
dc.publisherJohn Wiley and Sons Ltd
dc.relation.oastatusAll Open Access
dc.relation.oastatusGreen Final Open Access
dc.relation.oastatusGreen Open Access
dc.relation.sourceMathematical Methods in the Applied Sciences
dc.subject.authorkeywordsAdomian Decomposition Method
dc.subject.authorkeywordsAnalytical Results
dc.subject.authorkeywordsFractional-order Derivative
dc.subject.authorkeywordsGraphical Interpretation
dc.subject.authorkeywordsNovel Coronavirus Mathematical Models
dc.subject.authorkeywordsCalculations
dc.subject.authorkeywordsCovid-19
dc.subject.authorkeywordsDifferentiation (calculus)
dc.subject.authorkeywordsFixed Point Arithmetic
dc.subject.authorkeywordsMathematical Operators
dc.subject.authorkeywords'current
dc.subject.authorkeywordsAdomian Decomposition Method
dc.subject.authorkeywordsAnalytical Results
dc.subject.authorkeywordsCaputo Fractional Derivatives
dc.subject.authorkeywordsCoronaviruses
dc.subject.authorkeywordsFixed Points Theorems
dc.subject.authorkeywordsFractional Differential Operators
dc.subject.authorkeywordsFractional Order Derivatives
dc.subject.authorkeywordsGraphical Interpretations
dc.subject.authorkeywordsNovel Coronavirus Mathematical Model
dc.subject.authorkeywordsCoronavirus
dc.subject.indexkeywordsCalculations
dc.subject.indexkeywordsCOVID-19
dc.subject.indexkeywordsDifferentiation (calculus)
dc.subject.indexkeywordsFixed point arithmetic
dc.subject.indexkeywordsMathematical operators
dc.subject.indexkeywords'current
dc.subject.indexkeywordsAdomian Decomposition Method
dc.subject.indexkeywordsAnalytical results
dc.subject.indexkeywordsCaputo fractional derivatives
dc.subject.indexkeywordsCoronaviruses
dc.subject.indexkeywordsFixed points theorems
dc.subject.indexkeywordsFractional differential operators
dc.subject.indexkeywordsFractional order derivatives
dc.subject.indexkeywordsGraphical interpretations
dc.subject.indexkeywordsNovel coronavirus mathematical model
dc.subject.indexkeywordsCoronavirus
dc.titleAnalytical and qualitative investigation of COVID-19 mathematical model under fractional differential operator
dc.typeArticle
dcterms.referencesCoronavirus Disease 2019 Covid 19, (2020), Lu, Hongzhou, Outbreak of pneumonia of unknown etiology in Wuhan, China: The mystery and the miracle, Journal of Medical Virology, 92, 4, pp. 401-402, (2020), Data Model to Predict Prevalence of Covid 19 in Pakistan, (2020), Analysis of the Worldwide Corona Virus Covid 19 Pandemic Trend A Modelling Study to Predict Its Spread, (2020), Goyal, Manish, An efficient technique for a time fractional model of lassa hemorrhagic fever spreading in pregnant women, European Physical Journal Plus, 134, 10, (2019), Kumar, Devendra, A new fractional SIRS-SI malaria disease model with application of vaccines, antimalarial drugs, and spraying, Advances in Difference Equations, 2019, 1, (2019), Shah, Kamal, Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative, Chaos, Solitons and Fractals, 135, (2020), Photosynthetica, (2002), Ramzan, Muhammad Sher, Computational and theoretical modeling of the transmission dynamics of novel COVID-19 under Mittag-Leffler Power Law, Alexandria Engineering Journal, 59, 5, pp. 3133-3147, (2020), Tian, Xiaolong, Potent binding of 2019 novel coronavirus spike protein by a SARS coronavirus-specific human monoclonal antibody, Emerging Microbes and Infections, 9, 1, pp. 382-385, (2020)
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person.identifier.scopus-author-id56708052700
person.identifier.scopus-author-id57215830974
person.identifier.scopus-author-id57195346626
person.identifier.scopus-author-id59760609700
person.identifier.scopus-author-id23028598900
person.identifier.scopus-author-id36830908200

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