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Analysis of the dynamics of hepatitis E virus using the Atangana-Baleanu fractional derivative

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Abstract.

The pivotal aim of the present work is to analyse the dynamics of fractional mathematical model of the hepatitis E virus using the fractional Atangana-Baleanu (AB) derivative. The existence and uniqueness of the solution obtained for the proposed model are presented with the help of the fixed-point hypothesis. The Adams-Bashforth technique is employed to analyse and find the solution for the future model, and the numerical simulations have been conducted in order to validate the efficiency of the Atangana-Baleanu derivative. The present investigation shows that the dynamics of the hepatitis E virus model noticeably depends on the time instant as well as the time history, which can be efficiently modelled by employing the theory of fractional calculus.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science & Technologys, Karnatak University, Dharwad, India

    D. G. Prakasha & P. Veeresha

  2. Department of Mathematics, Davangere University, Shivagangotri, India

    D. G. Prakasha

  3. Department of Computer Engineering, Faculty of Education, Harran University, Sanliurfa, Turkey

    Haci Mehmet Baskonus

Authors
  1. D. G. Prakasha
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  2. P. Veeresha
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  3. Haci Mehmet Baskonus
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Correspondence to Haci Mehmet Baskonus.

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Prakasha, D.G., Veeresha, P. & Baskonus, H.M. Analysis of the dynamics of hepatitis E virus using the Atangana-Baleanu fractional derivative. Eur. Phys. J. Plus 134, 241 (2019). https://doi.org/10.1140/epjp/i2019-12590-5

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  • DOI: https://doi.org/10.1140/epjp/i2019-12590-5

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