Laplace optimized decomposition method for solving fractional order logistic growth in a population

	Laplace optimized decomposition method for solving fractional order logistic growth in a population
International Journal of Nonlinear Analysis and Applications
مقاله 2، دوره 17، شماره 4، تیر 2026، صفحه 11-20 اصل مقاله (485.16 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.32062.4755
نویسنده
Abubker Ahmed^* ¹^{، 2}
¹University of Science & Technology, College of Engineering, Sudan
²AlMughtaribeen University, College of Engineering, Department of General Sciences, Sudan
چکیده
In this paper, we introduce a semi-analytical method called the Laplace optimized decomposition method, abbreviated as LODM, for solving a model of a nonlinear ordinary differential equation describing the growth of population, the so-called Logistic equation with the fractional-order type, using the Caputo fractional derivative sense. The proposed technique combines the Laplace transform (LT) with a new technique called the optimized decomposition method (ODM). The results obtained by this method have been compared with those obtained by other methods. Finally, we demonstrate our numerical results with the help of tables and figures.
کلیدواژه‌ها
Laplace optimized decomposition method؛ Caputo fractional derivative؛ fractional differential equations؛ logistic equation
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