Analysis and numerical approximation of tempered fractional calculus of variations problems
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Publication:2315825
DOI10.1016/j.cam.2019.04.010zbMath1425.49015OpenAlexW2946882680MaRDI QIDQ2315825
Ricardo Almeida, Maria Luísa Morgado
Publication date: 26 July 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2019.04.010
Numerical methods based on necessary conditions (49M05) Fractional derivatives and integrals (26A33) Discrete approximations in optimal control (49M25) Optimality conditions for free problems in one independent variable (49K05)
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Cites Work
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- Discrete direct methods in the fractional calculus of variations
- Tempered fractional calculus
- A numerical technique for solving a class of fractional variational problems
- Fast predictor-corrector approach for the tempered fractional differential equations
- Fractional variational problems with the Riesz-Caputo derivative
- Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
- On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
- Tempered stable Lévy motion and transient super-diffusion
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- On time-optimal control of fractional-order systems
- Combined fractional variational problems of variable order and some computational aspects
- Formulation of Euler-Lagrange equations for fractional variational problems
- Fractional sequential mechanics - models with symmetric fractional derivative.
- Lagrangean and Hamiltonian fractional sequential mechanics.
- Fractional Euler-Lagrange equations revisited
- The Euler-Lagrange and Legendre equations for functionals involving distributed-order fractional derivatives
- Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations
- A new Crank-Nicolson finite element method for the time-fractional subdiffusion equation
- A survey on fuzzy fractional variational problems
- Fractional Hamiltonian analysis of higher order derivatives systems
- Generalized Euler—Lagrange Equations and Transversality Conditions for FVPs in terms of the Caputo Derivative
- Computational Methods in the Fractional Calculus of Variations
- Fractional variational calculus in terms of Riesz fractional derivatives
- Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
- Variational problems with fractional derivatives: Euler–Lagrange equations
- Fractional variational calculus and the transversality conditions
- The Legendre condition of the fractional calculus of variations
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