COMPARISON OF VARIOUS FRACTIONAL BASIS FUNCTIONS FOR SOLVING FRACTIONAL-ORDER LOGISTIC POPULATION MODEL

DOI10.22190/FUMI2004181IzbMath1499.92066OpenAlexW3126675400MaRDI QIDQ5010385

No author found.

Publication date: 25 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22190/fumi2004181i

zbMATH Keywords

collocation methodLegendre polynomiallogistic population modelLiouville-Caputo fractional derivativeChebyshev and Chelyshkov polynomials

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Fractional derivatives and integrals (26A33) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation by polynomials (41A10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (8)

Approximate solutions of a SIR epidemiological model of computer viruses ⋮ Accurate and efficient matrix techniques for solving the fractional Lotka-Volterra population model ⋮ روش ماتریسی جدید برای حل تقریبی یک مدل جدید لین-اِمدن منفرد ⋮ A new accurate method for solving fractional relaxation-oscillation with Hilfer derivatives ⋮ A highly accurate matrix method for solving a class of strongly nonlinear BVP arising in modeling of human shape corneal ⋮ Two novel Bessel matrix techniques to solve the squeezing flow problem between infinite parallel plates ⋮ Unnamed Item ⋮ A computational algorithm for simulating fractional order relaxation-oscillation equation

Cites Work

• Unnamed Item
• Unnamed Item
• Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions
• A review of operational matrices and spectral techniques for fractional calculus
• Tau-path following method for solving the Riccati equation with fractional order
• Dynamical analysis of fractional-order modified logistic model
• Alternative orthogonal polynomials and quadratures
• Piecewise constant orthogonal functions and their application to systems and control
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Exact solution to fractional logistic equation
• Chelyshkov collocation method for a class of mixed functional integro-differential equations
• Fractional-order Legendre functions for solving fractional-order differential equations
• On solving fractional logistic population models with applications
• A predictor-corrector approach for the numerical solution of fractional differential equations
• A comparative study of two Legendre-collocation schemes applied to fractional logistic equation
• Chelyshkov collocation approach for solving linear weakly singular Volterra integral equations
• Collocation method and residual correction using Chebyshev series
• A collocation method for numerical solutions of fractional-order logistic population model
• The Fourier series operational matrix of integration
• A comparative study of the operational matrices of integration and differentiation for orthogonal polynomial series
• A state-space approach to Walsh series solution of linear systems
• A Fractional Spline Collocation Method for the Fractional-order Logistic Equation

This page was built for publication: COMPARISON OF VARIOUS FRACTIONAL BASIS FUNCTIONS FOR SOLVING FRACTIONAL-ORDER LOGISTIC POPULATION MODEL