A high-order numerical scheme for the impulsive fractional ordinary differential equations

DOI10.1080/00207160.2017.1398322zbMath1499.65336OpenAlexW2766854994MaRDI QIDQ5028591

Ziqiang Wang, Junying Cao, Lizhen Chen

Publication date: 10 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2017.1398322

zbMATH Keywords

convergence analysisstability analysisVolterra integral equationhigh-order numerical schemeimpulsive fractional ordinary differential equations

Mathematics Subject Classification ID

Finite difference and finite volume methods for ordinary differential equations (65L12)

Cites Work

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• Impulsive fractional partial differential equations
• Multipoint BVPs for generalized impulsive fractional differential equations
• On the iterative learning control for stochastic impulsive differential equations with randomly varying trial lengths
• A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
• On recent developments in the theory of boundary value problems for impulsive fractional differential equations
• Nonlinear impulsive problems for fractional differential equations and Ulam stability
• On the concept and existence of solution for impulsive fractional differential equations
• Collocation methods for impulsive differential equations
• Numerical solution of fractional diffusion-wave equation based on fractional multistep method
• Asymptotical stability of Runge-Kutta methods for advanced linear impulsive differential equations with piecewise constant arguments
• On boundary value problems for impulsive fractional differential equations
• Stability of noninstantaneous impulsive evolution equations
• A high order schema for the numerical solution of the fractional ordinary differential equations
• Analytic and numerical exponential asymptotic stability of nonlinear impulsive differential equations
• On a new class of abstract impulsive functional differential equations of fractional order
• Finite difference/spectral approximations for the fractional cable equation
• Weakly Singular Discrete Gronwall Inequalities
• Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations

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