Solutions to the mathematical model of human liver function with fuzzy data under the concept of generalized Hukuhara differentiability.

Articles in Press

Document Type : Original Article

Author

Department of Mathematics, Savadkooh Branch, Islamic Azad University

Abstract

A simple mathematical model of human liver function is a linear system of differential equations
consisting of two unknown functions and their first order derivative.Since laboratory data and clinical
values are recorded by measurement and evaluation, they have the characteristic of uncertainty and
inaccuracy. This paper deals with the analysis and solving of the model with fuzzy data. At first, the
problem is investigated in fully fuzzy case from the point of view of generalized Hukuhara differentiability,
and sufficient conditions for the existence of a unique solution are found. Next, the simpler
forms of the problem are studied in two separate cases of the fuzziness of parameters, and in each
case, the solution formulas are obtained, in details. In the end, two numerical examples are solved to
describe and apply the results in practice.

Keywords

Main Subjects

Soft Computing Journal

Articles in Press, Accepted Manuscript
Available Online from 23 July 2024

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History

  • Receive Date: 19 December 2023
  • Revise Date: 24 January 2024
  • Accept Date: 23 February 2024

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