Fractal differential transform method for solving fuzzy logistic equation

In this article, a fractional-order differential equation seems to be a logistic growth model to evaluate the population growth under uncertainty situations. This can be achieved by a distinct semi-analytical technique called fractal differential transform method (FDTM), where the values of the deri...

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Bibliographic Details
Main Authors: Narayanamoorthy, S., Manirathinam, T., Lee, Seunggyu, Thangapandi, K.
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Evaluation
Fractal analysis
Fractal transforms
Fractals
Growth models
Iterative methods
Population growth
Runge-Kutta method
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Summary:In this article, a fractional-order differential equation seems to be a logistic growth model to evaluate the population growth under uncertainty situations. This can be achieved by a distinct semi-analytical technique called fractal differential transform method (FDTM), where the values of the derivatives can be found by the way of iterative instead of evaluating symbolically. Fuzzy approaches on the nonlinear logistic equation to handle the problematic situations, which are useful in biological modeling. Moreover, an illustrative example is examined and the solutions are fortified to validate the accuracy and efficiency of this method by comparing with modified fractional Runge-Kutta method (MFRKM).
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0017200