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An Efficient Algorithm for Solving the Fractional Hepatitis B Treatment Model Using Generalized Bessel Polynomial

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Abstract

Hepatitis B is the most common serious liver infection in the world. The cause of this infection is hepatitis B virus (HBV) that attacks liver cells and leads to liver injury. This work aims to compute an approximate solution of the fractional order HBV epidemic model (F-HBV-M) by the use of an optimization method on the base of a new basis function, generalized Bessel polynomials (GBPs). The model is first formulated and then generalized using the Caputo derivative. The method provides the solution in the form of the GBPs. To solve the model, the method of Lagrange multipliers is coupled with the GBPs. Analyzing model convergence, we finally provide accurate numerical and graphical descriptions for our F-HBV-M model.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of South Africa, Florida, South Africa

    Z. Avazzadeh

  2. Department of Mathematics, Anand International College of Engineering, Jaipur, 303012, India

    H. Hassani & P. Agarwal

  3. Faculty of Mathematics, Shahrekord University, Shahrekord, Iran

    A. B. Eshkaftaki & M. Sh. Dahaghin

  4. Department of Mathematics, Chabahar Maritime University, Chabahar, Iran

    M. J. Ebadi

  5. Department of Internal Medicine, School of Medicine, Shiraz University of Medical Sciences, Shiraz, Iran

    M. K. Hosseini Asl

  6. Department of Internal Medicine, Shiraz University of Medical Sciences, Shiraz, Iran

    S. Mehrabi

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  1. Z. Avazzadeh
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  2. H. Hassani
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  4. M. J. Ebadi
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  5. M. K. Hosseini Asl
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  6. P. Agarwal
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  7. S. Mehrabi
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  8. M. Sh. Dahaghin
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All authors contributed equally to each part of this work.

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Correspondence to H. Hassani.

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Avazzadeh, Z., Hassani, H., Eshkaftaki, A.B. et al. An Efficient Algorithm for Solving the Fractional Hepatitis B Treatment Model Using Generalized Bessel Polynomial. Iran J Sci 47, 1649–1664 (2023). https://doi.org/10.1007/s40995-023-01521-8

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