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

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.