Power-series solution of the L-fractional logistic equation

DOI10.1016/j.aml.2024.109085zbMATH Open1546.34011MaRDI QIDQ6570148

Juan. J. Nieto, M. Jornet

Publication date: 10 July 2024

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

analytic solutionlogistic modelfractional calculusEuler numbersLeibniz and Caputo fractional derivativenon-integer differential equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Population dynamics (general) (92D25) Fractional derivatives and integrals (26A33) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Fractional derivatives and strain gradient elasticity
• On fractional bending of beams
• Power series solution of the fractional logistic equation
• Fractional Euler numbers and generalized proportional fractional logistic differential equation
• Solutions of fractional logistic equations by Euler's numbers
• Solution of a fractional logistic ordinary differential equation
• Fractional differential forms
• LIOUVILLE AND BOGOLIUBOV EQUATIONS WITH FRACTIONAL DERIVATIVES
• ON AN EXTENSION OF THE OPERATOR WITH MITTAG-LEFFLER KERNEL
• Power-series solutions of fractional-order compartmental models

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A new lower bound for the \(\mathrm{L}^2\)-norm of the Caputo fractional derivative ⋮ A study of a coupled system involving tempered Caputo derivatives with respect to functions

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