On approximate solutions for fractional logistic differential equation

DOI10.1155/2013/391901zbMath1296.34020OpenAlexW2158544964WikidataQ59024357 ScholiaQ59024357MaRDI QIDQ459872

Mohammed M. Babatin, Mohamed M. Khader

Publication date: 13 October 2014

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/391901

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional ordinary differential equations (34A08)

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Cites Work

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• A computational matrix method for solving systems of high order fractional differential equations
• Fractional variational iteration method and its application
• Fractional variational calculus with classical and combined Caputo derivatives
• Adomian decomposition: a tool for solving a system of fractional differential equations
• Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
• On the numerical solutions for the fractional diffusion equation
• Laguerre spectral approximation of Stokes' first problem for third-grade fluid
• Convolution structures for Laguerre polynomials
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• An upper bound for the Laguerre polynomials
• The fundamental solutions for the fractional diffusion-wave equation
• Fractional dynamics in calcium oscillation model
• Numerical studies for fractional-order logistic differential equation with two different delays
• The use of generalized Laguerre polynomials in spectral methods for nonlinear differential equations
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Formulation of Euler-Lagrange equations for fractional variational problems
• The logistic map and the route to chaos. From the beginnings to modern applications
• Variational iteration method for fractional calculus -- a universal approach by Laplace transform
• Homotopy perturbation method for fractional KdV equation
• On the fractional-order logistic equation
• Continued fraction expansion approaches to discretizing fractional order derivatives-an expository review
• A CHEBYSHEV PSEUDO-SPECTRAL METHOD FOR SOLVING FRACTIONAL-ORDER INTEGRO-DIFFERENTIAL EQUATIONS
• The fundamental solution of the space-time fractional diffusion equation
• Chaos
• A new bound for the Laguerre polynomials

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