A NUMERICAL SCHEME FOR THE GENERALIZED ABC FRACTIONAL DERIVATIVE BASED ON LAGRANGE INTERPOLATION POLYNOMIAL

Aziz Khan (), Thabet Abdeljawad and Hasib Khan ()
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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

FRACTALS (fractals), 2022, vol. 30, issue 05, 1-11

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.

Keywords: Fractional-Order HCV Model; Atangana–Baleanu Fractional Derivative; Lagrange Polynomial Interpolation (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0218348X22401806

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