Volume 34, Issue 1, 2025
DOI: 10.53555/03276716.2025.12
A Fractional Approach To Chronic Pulmonary Aspergillosis Control In ICU Settings
Abstract
In this article, a fractional-order model of chronic pulmonary aspergillosis in intensive care unit patients is developed. The solution's singularity is derived using fixed point theory. To determine the best control techniques, we introduce three control techniques using Pontryagin's maximum principle. Laplace transform allows simulating the fractional-order derivatives analytically. Analytical simulation of fractional-order derivatives is carried out by using Laplace transform. A deeper comprehension of the chronic pulmonary aspergillosis transmission patterns resulted from an analysis of the graphical results.
Keywords
Mathematical modeling, Fractional derivative, Chronic pulmonary aspergillosis, ICU patients.