Çankaya GCRIS Standart veritabanının içerik oluşturulması ve kurulumu Research Ecosystems (https://www.researchecosystems.com) tarafından devam etmektedir. Bu süreçte gördüğünüz verilerde eksikler olabilir.
 

A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana-Baleanu fractional derivatives

dc.contributor.authorAliyu, Aliyu Isa
dc.contributor.authorİnç, Mustafa
dc.contributor.authorYusuf, Abdullahi
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-03-18T13:48:50Z
dc.date.available2020-03-18T13:48:50Z
dc.date.issued2018
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe model of transmission dynamics of vector-borne diseases with vertical transmission and cure within a targeted population is extended to the concept of fractional differentiation and integration with non-local and non-singular fading memory introduced. The effect of vertical transmission and cure rate on the basic reproduction number is shown. The Atangana-Baleanu fractional operator in caputo sense (ABC) with non-singular and non-local kernels is used to study the model. The existence and uniqueness of solutions are investigated using the Picard-Lindel method. Ultimately, for illustrating the acquired results, we perform some numerical simulations and show graphically to observe the impact of the arbitrary order derivative. It is expected that the proposed model will show better approximation than the classical model established before. (C) 2018 Elsevier Ltd. All rights reserved.en_US
dc.description.publishedMonth11
dc.identifier.citationAliyu, Aliyu Isa...et al. (2018). "A fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana-Baleanu fractional derivatives", Chaos Solitons & Fractals, Vol. 116, pp. 268-277.en_US
dc.identifier.doi10.1016/j.chaos.2018.09.043
dc.identifier.endpage277en_US
dc.identifier.issn0960-0779
dc.identifier.startpage268en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2683
dc.identifier.volume116en_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science LTDen_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectVector-Borne Diseasesen_US
dc.subjectAtangana-Baleanu Fractional Derivativesen_US
dc.subjectNumerical Simulationsen_US
dc.titleA fractional model of vertical transmission and cure of vector-borne diseases pertaining to the Atangana-Baleanu fractional derivativestr_TR
dc.titleA Fractional Model of Vertical Transmission and Cure of Vector-Borne Diseases Pertaining To the Atangana-Baleanu Fractional Derivativesen_US
dc.typeArticleen_US
dspace.entity.typePublication

Files

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: