Fractional-order variational calculus with generalized boundary conditions
From MaRDI portal
Publication:623604
DOI10.1155/2011/357580zbMath1222.49032OpenAlexW2094599796WikidataQ59252067 ScholiaQ59252067MaRDI QIDQ623604
Mohamed A. E. Herzallah, Dumitru Baleanu
Publication date: 8 February 2011
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/225702
Fractional derivatives and integrals (26A33) Optimality conditions for problems involving ordinary differential equations (49K15) Fractional ordinary differential equations (34A08)
Related Items (5)
Numerical calculation of the left and right fractional derivatives ⋮ Initial value problems of fractional order with fractional impulsive conditions ⋮ Fractional Euler-Lagrange equations revisited ⋮ A study of nonlinear Langevin equation involving two fractional orders in different intervals ⋮ Towards a combined fractional mechanics and quantization
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
- Fractional conservation laws in optimal control theory
- Fractional Hamiltonian formalism within Caputo's derivative
- Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Recent applications of fractional calculus to science and engineering
- Formulation of Euler-Lagrange equations for fractional variational problems
- Plane wave coupling to finite length cables buried in a lossy ground.
- Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations
- Fractional Euler—Lagrange Equations of Motion in Fractional Space
- Generalized Euler—Lagrange Equations and Transversality Conditions for FVPs in terms of the Caputo Derivative
- A fractional calculus of variations for multiple integrals with application to vibrating string
- Fractional variational calculus and the transversality conditions
This page was built for publication: Fractional-order variational calculus with generalized boundary conditions