Fractional variational integrators for fractional variational problems
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Publication:430324
DOI10.1016/j.cnsns.2011.06.028zbMath1239.49028OpenAlexW1966851594MaRDI QIDQ430324
Publication date: 21 June 2012
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.06.028
fractional discrete Euler-Lagrange equationfractional variational integratorsfractional variational problems
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Cites Work
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- Discrete-time fractional variational problems
- Generalized variational calculus in terms of multi-parameters fractional derivatives
- Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
- An investigation of some nonclassical methods for the numerical approximation of Caputo-type fractional derivatives
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An algorithm for the numerical solution of differential equations of fractional order
- A general finite element formulation for fractional variational problems
- Numerical comparison of methods for solving linear differential equations of fractional order
- Variational integrator for fractional Euler-Lagrange equations
- Discretized Fractional Calculus
- Discrete mechanics and variational integrators
- Generalized Euler—Lagrange Equations and Transversality Conditions for FVPs in terms of the Caputo Derivative
- A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
- Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the Second Kind
- Hamilton–Jacobi formulation of systems within Caputo's fractional derivative
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