Numerical analysis on fuzzy fractional human liver model using a novel double parametric approach

• Published in: Physica scripta Vol. 99; no. 11; pp. 115202 - 115227
• Main Authors: Verma, Lalchand, Meher, Ramakanta, Nikan, Omid, Avazzadeh, Zakieh
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01-11-2024
• Subjects: fractional; fuzzy; human; liver; Numerical
• ISSN: 0031-8949; 1402-4896
• DOI: 10.1088/1402-4896/ad7d51

This paper introduces a fractal-fractional order model of the human liver (FFOHLM) incorporating a new fractional derivative operator with a generalized exponential kernel, specifically addressing uncertainties. The study delves into verifying the uniqueness and existence of this fuzzy FOHLM using Schauder’s Banach fixed point theorem and the Arzela-Ascoli theorem. It also investigates the fuzzy FOHLM using fixed-point theory and the Picard-Lindelof approach. Moreover, the research analyzes the stability and equilibrium points of the proposed model. To conduct this analysis, the study employs an innovative approach based on a double parametric generalized Adams-Bashforth technique within Newton’s polynomial framework. The numerical results of the proposed fuzzy FOHLM are validated by comparing them with real-world clinical data and other published results, and it shows that the fractal-fractional technique can yield greater efficacy and stimulation compared to the fractional operator when applied to epidemic simulations. Finally, the results of fractional fractal orders are illustrated graphically in a fuzzy environment.