What question did this study set out to answer?

The aim is to analyze the logistic equation using variable order fractional calculus within finite time intervals.

April 16, 2026Open Access

A mathematical insight of fractional logistic equation of variable order on finite intervals

Key Points

The aim is to analyze the logistic equation using variable order fractional calculus within finite time intervals.
Utilized fractional calculus to modify the logistic equation
Examined the behavior of the equation under finite time constraints
Assessed real-world applications of population dynamics within limited resources
Provided a new perspective on the behavior of populations in bounded environments
Demonstrated that variable order calculus can yield more accurate predictions of population dynamics
Highlighted practical implications for modeling growth in resource-limited settings

Abstract

The logistic equation, which is usually represented as a differential equation, is used to simulate the population expansion or the spread or evolution of phenomena within a confined area. However, it is frequently discussed in terms of the evolution of solutions in unbounded time and the longterm behavior of the population size. In this paper, we analyze it by using variable order fractional calculus within the constraint of a finite time frame, allowing for a more realistic and applicable assessment of real-world scenarios with finite resources or boundaries.

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Cite This Study

Zaak et al. (Wed,) studied this question.

synapsesocial.com/papers/69e07d1d2f7e8953b7cbe199 https://doi.org/https://doi.org/10.2298/fil2526179z

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