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Journal of Mathematical Analysis and Applications

Volumn 334, Issue 2, 2007, Pages 834-846

A formulation of Noether's theorem for fractional problems of the calculus of variations

(2) Frederico, Gastão S F a Torres, Delfim F M a

a UNIVERSITY OF AVEIRO (Portugal)

Author keywords

Calculus of variations; Fractional derivatives; Noether's theorem

Indexed keywords

EID: 34250648556 PISSN: 0022247X EISSN: 10960813 Source Type: Journal
DOI: 10.1016/j.jmaa.2007.01.013 Document Type: Article

Times cited : (255)

References (17)

1
- 0036701004
- Formulation of Euler-Lagrange equations for fractional variational problems
- Agrawal O.P. Formulation of Euler-Lagrange equations for fractional variational problems. J. Math. Anal. Appl. 272 1 (2002) 368-379
- (2002) J. Math. Anal. Appl. , vol.272 , Issue.1 , pp. 368-379
- Agrawal, O.P.¹

2
- 15544379439
- A general formulation and solution scheme for fractional optimal control problems
- Agrawal O.P. A general formulation and solution scheme for fractional optimal control problems. Nonlinear Dynam. 38 1-4 (2004) 323-337
- (2004) Nonlinear Dynam. , vol.38 , Issue.1-4 , pp. 323-337
- Agrawal, O.P.¹

3
- 15544372486
- Introduction
- Special Issue on Fractional Derivatives and Their Applications
- Agrawal O.P., Tenreiro Machado J.A., and Sabatier J. Introduction. Special Issue on Fractional Derivatives and Their Applications. Nonlinear Dynam. 38 1-4 (2004) 1-2
- (2004) Nonlinear Dynam. , vol.38 , Issue.1-4 , pp. 1-2
- Agrawal, O.P.¹ Tenreiro Machado, J.A.² Sabatier, J.³

4
- 4043139312
- Lagrangians with linear velocities within Riemann-Liouville fractional derivatives
- Baleanu D., and Avkar T. Lagrangians with linear velocities within Riemann-Liouville fractional derivatives. Nuovo Cimento 119 (2004) 73-79
- (2004) Nuovo Cimento , vol.119 , pp. 73-79
- Baleanu, D.¹ Avkar, T.²

5
- 84967657635
- Automatic computation of conservation laws in the calculus of variations and optimal control
- Gouveia P.D.F., and Torres D.F.M. Automatic computation of conservation laws in the calculus of variations and optimal control. Comput. Methods Appl. Math. 5 4 (2005) 387-409
- (2005) Comput. Methods Appl. Math. , vol.5 , Issue.4 , pp. 387-409
- Gouveia, P.D.F.¹ Torres, D.F.M.²

6
- 0003427295
- World Scientific Publishing, River Edge, NJ
- Hilfer R. Applications of Fractional Calculus in Physics (2000), World Scientific Publishing, River Edge, NJ
- (2000) Applications of Fractional Calculus in Physics
- Hilfer, R.¹

7
- 0004249150
- Cambridge Univ. Press, Cambridge
- Jost J., and Li-Jost X. Calculus of Variations (1998), Cambridge Univ. Press, Cambridge
- (1998) Calculus of Variations
- Jost, J.¹ Li-Jost, X.²

8
- 77956684069
- Theory and Applications of Fractional Differential Equations
- Elsevier
- Kilbas A.A., Srivastava H.M., and Trujillo J.J. Theory and Applications of Fractional Differential Equations. North-Holland Math. Stud. vol. 204 (2006), Elsevier
- (2006) North-Holland Math. Stud. , vol.204
- Kilbas, A.A.¹ Srivastava, H.M.² Trujillo, J.J.³

9
- 0037047631
- Stationarity-conservation laws for fractional differential equations with variable coefficients
- Klimek M. Stationarity-conservation laws for fractional differential equations with variable coefficients. J. Phys. A 35 31 (2002) 6675-6693
- (2002) J. Phys. A , vol.35 , Issue.31 , pp. 6675-6693
- Klimek, M.¹

10
- 0003492056
- Wiley, New York
- Miller K.S., and Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations (1993), Wiley, New York
- (1993) An Introduction to the Fractional Calculus and Fractional Differential Equations
- Miller, K.S.¹ Ross, B.²

11
- 14844283120
- Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives
- Muslih S.I., and Baleanu D. Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives. J. Math. Anal. Appl. 304 2 (2005) 599-606
- (2005) J. Math. Anal. Appl. , vol.304 , Issue.2 , pp. 599-606
- Muslih, S.I.¹ Baleanu, D.²

12
- 0000735791
- Nonconservative Lagrangian and Hamiltonian mechanics
- Riewe F. Nonconservative Lagrangian and Hamiltonian mechanics. Phys. Rev. E (3) 53 2 (1996) 1890-1899
- (1996) Phys. Rev. E (3) , vol.53 , Issue.2 , pp. 1890-1899
- Riewe, F.¹

13
- 4243530410
- Mechanics with fractional derivatives
- (part B)
- Riewe F. Mechanics with fractional derivatives. Phys. Rev. E (3) 55 3 (1997) 3581-3592 (part B)
- (1997) Phys. Rev. E (3) , vol.55 , Issue.3 , pp. 3581-3592
- Riewe, F.¹

14
- 0003598080
- Gordon and Breach, Yverdon translated from the 1987 Russian original
- Samko S.G., Kilbas A.A., and Marichev O.I. Fractional Integrals and Derivatives-Theory and Applications (1993), Gordon and Breach, Yverdon translated from the 1987 Russian original
- (1993) Fractional Integrals and Derivatives-Theory and Applications
- Samko, S.G.¹ Kilbas, A.A.² Marichev, O.I.³

15
- 0038340532
- On the Noether theorem for optimal control
- Torres D.F.M. On the Noether theorem for optimal control. Eur. J. Control 8 1 (2002) 56-63
- (2002) Eur. J. Control , vol.8 , Issue.1 , pp. 56-63
- Torres, D.F.M.¹

16
- 33746721022
- Quasi-invariant optimal control problems
- Torres D.F.M. Quasi-invariant optimal control problems. Port. Math. (N.S.) 61 1 (2004) 97-114
- (2004) Port. Math. (N.S.) , vol.61 , Issue.1 , pp. 97-114
- Torres, D.F.M.¹

17
- 24944485940
- Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations
- Torres D.F.M. Proper extensions of Noether's symmetry theorem for nonsmooth extremals of the calculus of variations. Comm. Pure Appl. Anal. 3 3 (2004) 491-500
- (2004) Comm. Pure Appl. Anal. , vol.3 , Issue.3 , pp. 491-500
- Torres, D.F.M.¹

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