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

Aziz Khan, Thabet Abdeljawad, Hasib Khan

2022Fractals16 citationsDOIOpen Access PDF

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.

Topics & Concepts

Lagrange polynomialFractional calculusMathematicsApplied mathematicsInterpolation (computer graphics)UniquenessContext (archaeology)PolynomialStability (learning theory)Numerical stabilityExtension (predicate logic)Numerical analysisOrder (exchange)Integer (computer science)Mathematical optimizationMathematical analysisComputer scienceMotion (physics)Artificial intelligenceEconomicsMachine learningPaleontologyProgramming languageFinanceBiologyFractional Differential Equations SolutionsMathematical and Theoretical Epidemiology and Ecology ModelsNonlinear Differential Equations Analysis
A NUMERICAL SCHEME FOR THE GENERALIZED ABC FRACTIONAL DERIVATIVE BASED ON LAGRANGE INTERPOLATION POLYNOMIAL | Litcius