Fetching the paper…
Reading the bibliography…
We prove higher-order Euler-Lagrange and DuBois-Reymond stationary conditions to fractional action-like variational problems.
R. A. El-Nabulsi, D. F. M. Torres. Necessary Optimality Conditions for Fractional Action-Like Integrals of Variational Calculus with Riemann-Liouville Derivatives of Order
1939
Earlier work this paper cites.
F. Riewe. Nonconservative Lagrangian and Hamiltonian mechanics, Phys. Rev. E (3)
1996
Earlier work this paper cites.
O. P. Agrawal. Formulation of Euler-Lagrange equations for fractional variational problems, J. Math. Anal. Appl
2002
Earlier work this paper cites.
M. Klimek. Lagrangean and Hamiltonian fractional sequential mechanics, Czechoslovak J. Phys
2002
Earlier work this paper cites.
O. P. Agrawal. A general formulation and solution scheme for fractional optimal control problems, Nonlinear Dynam
2004
Earlier work this paper cites.
D. Baleanu, T. Avkar. Lagrangians with linear velocities within Riemann-Liouville fractional derivatives, Nuovo Cimento
2004
Earlier work this paper cites.
D. F. M. Torres. Proper extensions of Noether’s symmetry theorem for nonsmooth extremals of the calculus of variations, Commun. Pure Appl. Anal
2004
Cited alongside, same era.
R. A. El-Nabulsi. A fractional action-like variational approach of some classical, quantum and geometrical dynamics, Int. J. Appl. Math
2005
Cited alongside, same era.
R. A. El-Nabulsi. A fractional approach to nonconservative lagrangian dynamical systems, FIZIKA A
2005
Cited alongside, same era.
M. Klimek. Lagrangian fractional mechanics — a noncommutative approach, Czechoslovak J. Phys
2005
Cited alongside, same era.
C. Udriste, I. Duca. Periodical solutions of multi-time Hamilton equations, Analele Universitatii Bucuresti
2005
Cited alongside, same era.
I. Duca, C. Udriste. Some inequalities satisfied by periodical solutions of multi-time Hamilton equations, Balkan J. of Geometry and Its Applications
2006
Later among the works it cites.
J. Cresson. Fractional embedding of differential operators and Lagrangean systems, J. Math. Phys.,
2007
Closest in time.
G. S. F. Frederico, D. F. M. Torres. A formulation of Noether’s theorem for fractional problems of the calculus of variations, J. Math. Anal. Appl
2007
Closest in time.
G. Jumarie. Fractional Hamilton-Jacobi equation for the optimal control of nonrandom fractional dynamics with fractional cost function, J. Appl. Math. and Computing
2007
Closest in time.
C. Udriste, I. Tevy. Multi-time Euler-Lagrange-Hamilton theory, WSEAS Transactions on Mathematics
2007
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited in the paper.
Closest in time.