Reflection symmetric formulation of generalized fractional variational calculus
From MaRDI portal
Publication:2347304
DOI10.2478/s13540-013-0015-xzbMath1312.26015OpenAlexW2130434920WikidataQ57387485 ScholiaQ57387485MaRDI QIDQ2347304
Publication date: 27 May 2015
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/s13540-013-0015-x
Euler-Lagrange equationsfractional calculuslocalizationfractional mechanicsgeneralized fractional integrals and derivatives
Fractional derivatives and integrals (26A33) Variational principles of physics (49S05) Lagrange's equations (70H03) Fractional ordinary differential equations (34A08)
Related Items
Fractional isoperimetric Noether's theorem in the Riemann-Liouville sense ⋮ Numerical solution of fractional Sturm-Liouville equation in integral form ⋮ Unnamed Item ⋮ Fractional action cosmology with variable order parameter ⋮ Generalized fractional isoperimetric problem of several variables ⋮ A Caputo fractional derivative of a function with respect to another function ⋮ Generalized substantial fractional operators and well-posedness of Cauchy problem ⋮ Fractional differential equations and Volterra-Stieltjes integral equations of the second kind ⋮ Reflection Symmetry in Fractional Calculus – Properties and Applications ⋮ The multiple composition of the left and right fractional Riemann-Liouville integrals - analytical and numerical calculations
Cites Work
- Unnamed Item
- Unnamed Item
- Generalized fractional calculus with applications to the calculus of variations
- Fractional wave equation with a frictional memory kernel of Mittag-Leffler type
- Existence-uniqueness result for a certain equation of motion in fractional mechanics
- Effects of a fractional friction with power-law memory kernel on string vibrations
- Fractional variational problems depending on indefinite integrals
- Fractional variational calculus with classical and combined Caputo derivatives
- A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives
- Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
- Fractional Hamiltonian formalism within Caputo's derivative
- Generalized variational problems and Euler-Lagrange equations
- Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
- Formulation of Euler-Lagrange equations for fractional variational problems
- Fractional sequential mechanics - models with symmetric fractional derivative.
- Lagrangean and Hamiltonian fractional sequential mechanics.
- Some generalized fractional calculus operators and their applications in integral equations
- On reflection symmetry and its application to the Euler–Lagrange equations in fractional mechanics
- Towards a combined fractional mechanics and quantization
- Fractional calculus of variations for a combined Caputo derivative
- Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
- Fractional embedding of differential operators and Lagrangian systems
- On a class of differential equations with left and right fractional derivatives
- Generalized mittag-leffler function and generalized fractional calculus operators
- 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
