Exact solution to fractional logistic equation

DOI10.1016/j.physa.2015.02.073zbMath1400.34014OpenAlexW2010652240MaRDI QIDQ1618404

Bruce J. West

Publication date: 13 November 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2015.02.073

zbMATH Keywords

exact solutionnonlinearfractional calculuslogistic

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Fractional ordinary differential equations (34A08)

Related Items

A note on the fractional logistic equation ⋮ Modeling diffusive transport with a fractional derivative without singular kernel ⋮ A new look at the fractionalization of the logistic equation ⋮ A fractional order model for obesity epidemic in a non-constant population ⋮ Chebyshev wavelet procedure for solving FLDEs ⋮ Modified fractional logistic equation ⋮ Solutions of fractional logistic equations by Euler's numbers ⋮ Dynamic analysis of a harvested fractional-order biological system with its discretization ⋮ Magnetohydrodynamic electroosmotic flow of Maxwell fluids with Caputo-Fabrizio derivatives through circular tubes ⋮ Bifurcation from an Epidemic Model in the Presence of Memory Effects ⋮ Logistic map with memory from economic model ⋮ An integro quadratic spline approach for a class of variable-order fractional initial value problems ⋮ A search for a spectral technique to solve nonlinear fractional differential equations ⋮ Dynamical analysis of a fractional-order Hantavirus infection model ⋮ A comparative study of two Legendre-collocation schemes applied to fractional logistic equation ⋮ Bifurcation and chaos of a new discrete fractional-order logistic map ⋮ A Fractional Spline Collocation Method for the Fractional-order Logistic Equation ⋮ Uniform asymptotic stability of a logistic model with feedback control of fractional order and nonstandard finite difference schemes ⋮ On solving fractional logistic population models with applications ⋮ On numerical techniques for solving the fractional logistic differential equation ⋮ Non-local logistic equations from the probability viewpoint ⋮ AN OPERATOR-BASED APPROACH FOR THE CONSTRUCTION OF CLOSED-FORM SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Logistic equation with continuously distributed lag and application in economics ⋮ Direct and integrated radial functions based quasilinearization schemes for nonlinear fractional differential equations ⋮ On a new fractional-order logistic model with feedback control ⋮ Power series solution of the fractional logistic equation ⋮ COMPARISON OF VARIOUS FRACTIONAL BASIS FUNCTIONS FOR SOLVING FRACTIONAL-ORDER LOGISTIC POPULATION MODEL ⋮ Solutions of Fractional Verhulst Model by Modified Analytical and Numerical Approaches

Cites Work

• On approximate solutions for fractional logistic differential equation
• Application de la théorie des équations intégrales linéaires aux systèmes d'équations différentielles non linéaires
• Fractional trajectories: decorrelation versus friction
• On the fractional-order logistic equation
• Nonlinear dynamical systems and classical orthogonal polynomials
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item