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Modelling the spread of Ebola virus with Atangana-Baleanu fractional operators

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Abstract.

The model of Ebola spread within a targeted population is extended to the concept of fractional differentiation and integration with non-local and non-singular fading memory introduced by Atangana and Baleanu. It is expected that the proposed model will show better approximation than the models established before. The existence and uniqueness of solutions for the spread of Ebola disease model is given via the Picard-Lindelof method. Finally, numerical solutions for the model are given by using different parameter values.

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Authors and Affiliations

  1. Mehmet Akif Ersoy University, Department of Mathematics, Faculty of Sciences, 15100, Burdur, Turkey

    Ilknur Koca

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  1. Ilknur Koca
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Correspondence to Ilknur Koca.

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Koca, I. Modelling the spread of Ebola virus with Atangana-Baleanu fractional operators. Eur. Phys. J. Plus 133, 100 (2018). https://doi.org/10.1140/epjp/i2018-11949-4

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  • DOI: https://doi.org/10.1140/epjp/i2018-11949-4

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