Fractional Action-Like Variational Problems

R. A. El-Nabulsi and 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.

K. B. Oldham and J. Spanier,

1974

Earlier work this paper cites.

S. G. Samko, A. A. Kilbas and O. I. Marichev,

1993

Earlier work this paper cites.

R. Gorenflo and F. Mainardi, Fractional calculus: integral and differential equations of fractional order, in

1996

Earlier work this paper cites.

F. Riewe, Nonconservative Lagrangian and Hamiltonian mechanics, Phys. Rev. E (3)

1996

Earlier work this paper cites.

F. Riewe, Mechanics with fractional derivatives, Phys. Rev. E (3)

1997

Earlier work this paper cites.

M. Klimek, Fractional sequential mechanics—models with symmetric fractional derivative, Czechoslovak J. Phys

2001

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.

O. P. Agrawal, Application of fractional derivatives in thermal analysis of disk brakes, Nonlinear Dynam

2004

Earlier work this paper cites.

D. Baleanu and T. Avkar, Lagrangians with linear velocities within Riemann-Liouville fractional derivatives, Nuovo Cimento

2004

Earlier work this paper cites.

R. L. Magin, Fractional calculus in bioengineering, Part 1, Critic. Rev. in Biomed. Eng

2004

Earlier work this paper cites.

R. L. Magin, Fractional calculus in bioengineering, Part 2, Critic. Rev. in Biomed. Eng

2004

Cited alongside, same era.

R. L. Magin, Fractional calculus in bioengineering, Part 3,

2004

Cited alongside, same era.

R. A. El-Nabulsi, A fractional approach of nonconservative Lagrangian dynamics, Fizika A

2005

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.

M. Klimek, Lagrangian fractional mechanics—a noncommutative approach, Czechoslovak J. Phys

2005

Cited alongside, same era.

V. E. Tarasov, Fractional generalization of gradient and Hamiltonian systems, J. Phys. A

2005

B. Stanković, An equation with left and right fractional derivatives, Publ. Inst. Math. (Beograd) (N.S.)

2006

Later among the works it cites.

V. E. Tarasov, Fractional variations for dynamical systems: Hamilton and Lagrange approaches, J. Phys. A

2006

Later among the works it cites.

J. Cresson, Fractional embedding of differential operators and Lagrangian systems, J. Math. Phys

2007

Later among the works it cites.

R. A. El-Nabulsi, Fractional path integral and exotic vacuum for the free spinor field theory with Grassmann anticommuting variables, EJTP, Electron. J. Theor. Phys

2007

Later among the works it cites.

R. A. El-Nabulsi, Some fractional geometrical aspects of weak field approximation and Schwarzschild spacetime, Rom. Journ. Phys

2007

Later among the works it cites.