On some generalizations of the implicit Euler method for discontinuous fractional differential equations

DOI10.1016/j.matcom.2012.04.009OpenAlexW2291051087MaRDI QIDQ2229774

Roberto Garrappa

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2012.04.009

zbMATH Keywords

implicit methodfractional differential equationdiscontinuous problemfractional Adams methodset-valued regularization

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discontinuous ordinary differential equations (34A36) Applications of operator theory in systems, signals, circuits, and control theory (47N70) Fractional ordinary differential equations (34A08)

Related Items (13)

Direct event location techniques based on Adams multistep methods for discontinuous ODEs ⋮ Suppressing chaos in discontinuous systems of fractional order by active control ⋮ Lyapunov exponents of a class of piecewise continuous systems of fractional order ⋮ Quadratic Lyapunov functions for stability analysis in fractional-order systems with not necessarily differentiable solutions ⋮ Fractional integral sliding modes for robust tracking of nonlinear systems ⋮ High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations ⋮ Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions ⋮ Trapezoidal methods for fractional differential equations: theoretical and computational aspects ⋮ Numerical methods for the nonlocal wave equation of the peridynamics ⋮ Output feedback finite-time stabilization of systems subject to hölder disturbances via continuous fractional sliding modes ⋮ Exponential quadrature rules for linear fractional differential equations ⋮ Determination of order in linear fractional differential equations ⋮ Uniformly continuous differintegral sliding mode control of nonlinear systems subject to Hölder disturbances

Uses Software

• ma2dfc
• Fractional Order Chaotic Systems

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