Abstract: In this article, based on Jumarie type of modified Riemann-Liouville (R-L) fractional derivatives, we make use of a new multiplication and some techniques include separation of variables, partial fraction integration and chain rule for fractional derivatives to obtain the closed form solution of the fractional logistic equation we defined. In fact, the fractional logistic equation is a generalization of the classical logistic equation. Moreover, the Mittag-Leffler function plays an important role in this paper.
Keywords: Jumarie type of modified R-L fractional derivatives, new multiplication, closed form solution, fractional logistic equation, Mittag-Leffler function.
Title: A New Insight into Fractional Logistic Equation
Author: Chii-Huei Yu
International Journal of Engineering Research and Reviews
ISSN 2348-697X (Online)
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