Fractional oscillator equation: analytical solution and algorithm for its approximate computation

DOI10.1177/1077546314566836zbMath1365.34011OpenAlexW1994201935MaRDI QIDQ5270808

Tomasz Blaszczyk, Mariusz Ciesielski

Publication date: 3 July 2017

Published in: Journal of Vibration and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1077546314566836

zbMATH Keywords

numerical algorithmfractional integral equationfractional Euler-Lagrange equationfractional oscillator equation

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Fractional ordinary differential equations (34A08) Numerical methods for functional-differential equations (65L03)

Related Items (5)

An exact solution of the second-order differential equation with the fractional/generalised boundary conditions ⋮ Numerical Solution of Euler-Lagrange Equation with Caputo Derivatives ⋮ Generalized Lucas polynomial sequence approach for fractional differential equations ⋮ Sharp asymptotics in a fractional Sturm-Liouville problem ⋮ The multiple composition of the left and right fractional Riemann-Liouville integrals - analytical and numerical calculations

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