The uncertain Malthusian model on time scales

Bohner, Martin; Girejko, Ewa; Malinowska, Agnieszka B.; Truong, Tri

doi:10.1090/proc/16701

The uncertain Malthusian model on time scales
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by Martin Bohner, Ewa Girejko, Agnieszka B. Malinowska and Tri Truong;

Proc. Amer. Math. Soc. 152 (2024), 2657-2668

DOI: https://doi.org/10.1090/proc/16701

Published electronically: April 18, 2024

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Abstract:

This work offers a real-world application for the study of fuzzy dynamic equations. First, we propose the novel concept of granular delta differentiability for fuzzy-valued functions defined on time scales with the help of the relative distance measure fuzzy arithmetic and horizontal membership functions. Then, fundamental foundations of fuzzy calculus on time scales are provided. Discussion on the Malthusian model defined on particular time scales to illustrate the proposed approach is presented.

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