Exponential Euler scheme of multi-delay Caputo-Fabrizio fractional-order differential equations

DOI10.1016/j.aml.2021.107709zbMath1484.65143OpenAlexW3201758049WikidataQ115360670 ScholiaQ115360670MaRDI QIDQ2060947

Tianwei Zhang, Li Yong Kun

Publication date: 13 December 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107709

zbMATH Keywords

implicit schemeexponential Euler methodCaputo-Fabrizio differential equation

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Functional-differential equations with fractional derivatives (34K37) Numerical methods for functional-differential equations (65L03)

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Cites Work

• A class of explicit multistep exponential integrators for semilinear problems
• Properties of the Caputo-Fabrizio fractional derivative and its distributional settings
• Exponential Runge-Kutta methods for parabolic problems.
• Delay dependent asymptotic mean square stability analysis of the stochastic exponential Euler method
• A critical analysis of the Caputo-Fabrizio operator
• On the weak convergence rate of an exponential Euler scheme for SDEs governed by coefficients with superlinear growth
• Dynamic behaviours for semi-discrete stochastic Cohen-Grossberg neural networks with time delays
• Solution of a fractional logistic ordinary differential equation
• Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales
• On the initial value problems for the Caputo–Fabrizio impulsive fractional differential equations

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