4.7 Article

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

期刊

FRACTAL AND FRACTIONAL
卷 5, 期 4, 页码 -

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MDPI
DOI: 10.3390/fractalfract5040273

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logistic differential equation; fractional calculus; Liouville-Caputo fractional derivative; Atangana-Baleanu derivative; Caputo-Fabrizio derivative; Prabhakar derivative; Prabhakar integral

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In this paper, the Prabhakar fractional logistic differential equation is considered and other logistic differential equations are recovered using appropriate limit relations, with solutions represented in terms of a formal power series. Numerical approximations are implemented using truncated series.
In this paper, we consider the Prabhakar fractional logistic differential equation. By using appropriate limit relations, we recover some other logistic differential equations, giving representations of each solution in terms of a formal power series. Some numerical approximations are implemented by using truncated series.

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