IJAM: Volume 37, No. 5 (2024)

DOI: 10.12732/ijam.v37i5.1

FRACTIONAL CALCULUS APPROACH TO

BIOREACTION MODELING

Emilia Bazhlekova, Ivan Bazhlekov

Institute of Mathematics and Informatics

Bulgarian Academy of Sciences

Acad. G. Bonchev Str., Block 8

Sofia - 1113, BULGARIA

Abstract. In this work, the application of fractional calculus to mathematical modeling

of bioreactions is analyzed. The proposed models, employing fractional order operators in time, are generalizations of the classical bioreactor model, which consists of a system of nonlinear ODEs. Different ways for introducing time-fractional operators in the classical model are discussed. It is shown that formal “fractionalization” can lead to physically unacceptable models

and some solutions to overcome this problem are proposed. To evaluate the ability of the considered fractional order models to correctly reproduce the expected behavior of the system, numerical experiments are performed, based on a generalization of the fractional Adams method.

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How to cite this paper?
DOI: 10.12732/ijam.v37i5.1
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2024
Volume: 37
Issue: 5

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