Higher order methods for fractional differential equation based on fractional backward differentiation formula of order three
type: Item
instance of: scholarly article
title: Higher order methods for fractional differential equation based on fractional backward differentiation formula of order three
author: Zahra Farzaneh Bonab
author: M. Javidi
published in: Mathematics and Computers in Simulation
publication date: 2021-03-06T00:00:00Z
Mathematics Subject Classification ID: 34Axx
Mathematics Subject Classification ID: 65Lxx
zbMATH DE Number: 7318031
zbMATH Keywords: fractional differential equation
zbMATH Keywords: fractional backward differentiation formula
zbMATH Keywords: explicit methods
zbMATH Keywords: regions of stability
zbMATH Keywords: interval of stability
Wikidata QID: Q115343845
MaRDI profile type: Publication
full work available at URL: j.matcom.2019.12.019
OpenAlex ID: W3000686282
cites work: An improved PC scheme for nonlinear fractional differential equations: error and stability analysis
cites work: Novel algorithms to estimate nonlinear FDEs: applied to fractional order nutrient-phytoplankton-zooplankton system
cites work: A novel high-order algorithm for the numerical estimation of fractional differential equations
cites work: Observer-based projective synchronization of fractional systems via a scalar signal: application to hyperchaotic Rössler systems
cites work: An algorithm for the numerical solution of differential equations of fractional order
cites work: Comparison of numerical methods for fractional differential equations
cites work: On multistep methods for differential equations of fractional order
cites work: Fractional Adams-Moulton methods
cites work: Explicit methods for fractional differential equations and their stability properties
cites work: On linear stability of predictor–corrector algorithms for fractional differential equations
cites work: Trapezoidal methods for fractional differential equations: theoretical and computational aspects
cites work: Fractional pseudospectral integration/differentiation matrix and fractional differential equations
cites work: Q5756345
cites work: On FBDF5 method for delay differential equations of fractional order with periodic and anti-periodic conditions
cites work: On fractional backward differential formulas for fractional delay differential equations with periodic and anti-periodic conditions
cites work: Selected problems of fractional systems theory.
cites work: Q5699297
cites work: Discretized Fractional Calculus
cites work: A Stability Analysis of Convolution Quadraturea for Abel-Volterra Integral Equations
cites work: The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
cites work: Linear approximation of transfer function with a pole of fractional power
cites work: An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
DOI: 10.1016/J.MATCOM.2019.12.019
Recommended article: High order fractional backward differentiation formulae
Recommended article: A kind of generalized backward differentiation formulae for solving fractional differential equations
Recommended article: Higher order numerical methods for solving fractional differential equations
Recommended article: Fractional high order methods for the nonlinear fractional ordinary differential equation
Recommended article: Q4656243
Recommended article: On fractional backward differential formulas methods for fractional differential equations with delay
Recommended article: A numerical method to solve higher-order fractional differential equations
Recommended article: Q4842162
Recommended article: Q4271110
Recommended article: Fractional exponential fitting backward differential formulas for solving differential equations of fractional order
description: scientific article; zbMATH DE number 7318031