Modeling and numerical investigation of fractional-order bovine babesiosis disease

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dc.authoridNaik, Parvaiz Ahmad/0000-0001-8967-5992
dc.authoridSaleem, Prof. Dr. Muhammad Umer/0000-0002-2263-3373
dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.contributor.authorAhmad, Aqeel
dc.contributor.authorFarman, Muhammad
dc.contributor.authorNaik, Parvaiz Ahmad
dc.contributor.authorZafar, Nayab
dc.contributor.authorAkgul, Ali
dc.contributor.authorSaleem, Muhammad Umer
dc.date.accessioned2024-12-24T19:24:16Z
dc.date.available2024-12-24T19:24:16Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, analysis and modeling of bovine babesiosis disease are designed with fractional calculus. The solution for a bovine babesiosis disease and tick populations fractional order system is determined using the Caputo and Atangana-Baleanu-Caputo (ABC) fractional derivatives. Applying the homotopy analysis method and the Laplace transform with polynomial homotopy, the analytical solution of the bovine babesiosis disease has obtained. Furthermore, using an iterative scheme by the Laplace transform, and the Atangana-Baleanu fractional integral, special solutions of the model are obtained. Uniqueness and existence of the solutions by the fixed-point theorem and Picard-Lindel of approach are studied. Numerical simulation has been established for both Caputo and ABC fractional derivative of the proposed system is carried out. The numeric replications for diverse consequences are carried out, and data attained are in good agreement with theoretical outcomes, displaying a vital perception about the use of the set of fractional coupled differential equations to model babesiosis disease and tick populations.
dc.identifier.doi10.1002/num.22632
dc.identifier.endpage1964
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85096677605
dc.identifier.scopusqualityQ1
dc.identifier.startpage1946
dc.identifier.urihttps://doi.org/10.1002/num.22632
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5920
dc.identifier.volume37
dc.identifier.wosWOS:000584686900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofNumerical Methods For Partial Differential Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectABC fractional? order derivative
dc.subjectbovine babesiosis
dc.subjectCaputo fractional derivative
dc.subjectmathematical model
dc.titleModeling and numerical investigation of fractional-order bovine babesiosis disease
dc.typeArticle

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