Numerical Solution of Euler-Lagrange Equation with Caputo Derivatives

DOI10.4208/aamm.2015.m970zbMath1499.65742OpenAlexW2530101992MaRDI QIDQ5155224

Tomasz Blaszczyk, Mariusz Ciesielski

Publication date: 6 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.2015.m970

zbMATH Keywords

numerical solutionfractional integral equationfractional Euler-Lagrange equationCaputo derivatives

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Lagrange's equations (70H03) Fractional ordinary differential equations (34A08)

Related Items (7)

On resonant mixed Caputo fractional differential equations ⋮ Existence of solutions to a class of nonlinear boundary value problems with right and left fractional derivarives ⋮ Existence of solutions for a mixed fractional boundary value problem ⋮ Nonlinear differential equations involving mixed fractional derivatives with functional boundary data ⋮ Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory ⋮ On a fractional boundary value problem in a weighted space ⋮ The multiple composition of the left and right fractional Riemann-Liouville integrals - analytical and numerical calculations

Cites Work

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• Fractional oscillator equation -- transformation into integral equation and numerical solution
• Generalized transversality conditions in fractional calculus of variations
• Piecewise polynomial collocation for linear boundary value problems of fractional differential equations
• On exact solutions of a class of fractional Euler-Lagrange equations
• Remarks on fractional derivatives
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional Euler-Bernoulli beams: theory, numerical study and experimental validation
• Formulation of Euler-Lagrange equations for fractional variational problems
• Fractional sequential mechanics - models with symmetric fractional derivative.
• The DuBois-Reymond fundamental lemma of the fractional calculus of variations and an Euler-Lagrange equation involving only derivatives of Caputo
• Transformation of the second order boundary value problem into integral form -- different approaches and a numerical solution
• Laplace transform solution of the problem of time-fractional heat conduction in a two-layered slab
• The influence of the core orthotropy on the wrinkling of sandwich panels
• Spectral-collocation methods for fractional pantograph delay-integrodifferential equations
• Variational integrator for fractional Euler-Lagrange equations
• Numerical solution of fractional Sturm-Liouville equation in integral form
• Homotopy Method for Parameter Determination of SoluteTransport with Fractional Advection-dispersion Equation
• Fractional oscillator equation: analytical solution and algorithm for its approximate computation
• Numerical Solution of Fractional Partial Differential Equations by Discrete Adomian Decomposition Method
• Fractional Calculus with Applications in Mechanics

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