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A Numerical Scheme For The Generalized Abc Fractional Derivative Based On Lagrange Interpolation Polynomial

Author

Listed:
  • AZIZ KHAN

    (Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia)

  • THABET ABDELJAWAD

    (Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, 11586 Riyadh, Saudi Arabia†Department of Medical Research, China Medical University, Taichung 40402, Taiwan)

  • HASIB KHAN

    (��Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper, 18000 Khyber Pakhtunkhwa, Pakistan)

Abstract

In this paper, a numerical and analytical investigation of a Hepatitis C virus (HCV) transmission concept is described in the context of fractional order. The model is an extension of the classical model to a fractional order. The existence, uniqueness, Hyers–Ulam-type stability, and numerical results are all discussed in the work. Lagrange’s interpolation polynomial technique is used for the numerical outcomes. The proposed method has a high level of precision and a low computing cost. We observe that the numerical results for the fractional-order model also contain the dynamics of the previous integer-order model as a special case. Finally, numerical solutions are implemented for the fractional-order HCV model to demonstrate the results graphically.

Suggested Citation

  • Aziz Khan & Thabet Abdeljawad & Hasib Khan, 2022. "A Numerical Scheme For The Generalized Abc Fractional Derivative Based On Lagrange Interpolation Polynomial," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-11, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401806
    DOI: 10.1142/S0218348X22401806
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