Fractional-Order Logistic Differential Equation with Mittag-Leffler-Type Kernel

Article Mathematics, Applied

Solution of a fractional logistic ordinary differential equation

Juan J. Nieto

Summary: We studied the logistic differential equation of fractional order and non-singular kernel, and obtained the analytical solution.

APPLIED MATHEMATICS LETTERS (2022)

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Article Mathematics, Interdisciplinary Applications

Numerical approximations to the nonlinear fractional-order Logistic population model with fractional-order Bessel and Legendre bases

Mohammad Izadi et al.

Summary: The main aim of this manuscript is to obtain approximate solutions of the nonlinear Logistic equation of fractional order using a collocation approach based on fractional-order Bessel and Legendre functions. The polynomial approximation techniques used in this study transform the governing differential equation into algebraic equations, reducing computational effort significantly. Numerical experiments demonstrate the effectiveness and applicability of the presented techniques in solving population models, particularly when utilizing Legendre bases.

CHAOS SOLITONS & FRACTALS (2021)

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Article Physics, Multidisciplinary

Power series solution of the fractional logistic equation

I Area et al.

Summary: By using a series of fractional powers, a representation of the solution to the fractional logistic equation is presented and proven to be the exact solution in the simplest case. Numerical approximations demonstrate the good approximations obtained by truncating the fractional power series.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2021)

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Article Physics, Multidisciplinary