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Caputo Type Fractional Operator Applied To Hepatitis B System

Author

Listed:
  • ANWARUD DIN

    (Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China)

  • YONGJIN LI

    (Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China)

  • ABDULLAHI YUSUF

    (��Department of Computer Engineering, Biruni University, Istanbul, Turkey‡Department of Mathematics, Federal University Dutse, Jigawa, Nigeria)

  • ALIYU ISA ALI

    (Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China)

Abstract

In our research work, we develop the analysis of a noninteger-order model for hepatitis B (HBV) under singular type Caputo fractional-order derivative. We investigated our proposed system for an approximate or semi-analytical solution using Laplace transform along with decomposition techniques by Adomian polynomial of nonlinear terms and some perturbation techniques of Homotopy (HPM). The obtained solutions have been compared with each other against some real data by simulation via MATLAB. The graphical simulation in fractional form shows a better general result as compared to integer-order simulation.

Suggested Citation

  • Anwarud Din & Yongjin Li & Abdullahi Yusuf & Aliyu Isa Ali, 2022. "Caputo Type Fractional Operator Applied To Hepatitis B System," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(01), pages 1-11, February.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:01:n:s0218348x22400230
    DOI: 10.1142/S0218348X22400230
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    Citations

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    Cited by:

    1. Asamoah, Joshua Kiddy K. & Fatmawati,, 2023. "A fractional mathematical model of heartwater transmission dynamics considering nymph and adult amblyomma ticks," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Tingting Xue & Xiaolin Fan & Yan Xu, 2023. "Kinetic Behavior and Optimal Control of a Fractional-Order Hepatitis B Model," Mathematics, MDPI, vol. 11(17), pages 1-18, August.
    3. Yaagoub, Zakaria & Allali, Karam, 2022. "Fractional HBV infection model with both cell-to-cell and virus-to-cell transmissions and adaptive immunity," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).

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