-
1
-
-
0141930931
-
A new Lagrangian and a new Lagrange equation of motion for fractionally damped systems
-
Agrawal, O.P., 2001, " A new Lagrangian and a new Lagrange equation of motion for fractionally damped systems, " Journal of Applied Mechanics 68, 339-341.
-
(2001)
Journal of Applied Mechanics
, vol.68
, pp. 339-341
-
-
Agrawal, O.P.1
-
2
-
-
0036701004
-
Formulation of Euler-Lagrange equations for fractional variational problems
-
Agrawal, O.P., 2002, " Formulation of Euler-Lagrange equations for fractional variational problems, " Journal of Mathematical Analysis and Applications 272, 368-379.
-
(2002)
Journal of Mathematical Analysis and Applications
, vol.272
, pp. 368-379
-
-
Agrawal, O.P.1
-
3
-
-
15544379439
-
A general formulation and solution scheme for fractional optimal control problems
-
Agrawal, O.P., 2004, " A general formulation and solution scheme for fractional optimal control problems, " Nonlinear Dynamics 38, 323-337.
-
(2004)
Nonlinear Dynamics
, vol.38
, pp. 323-337
-
-
Agrawal, O.P.1
-
4
-
-
34548204349
-
A general scheme for stochastic analysis of fractional optimal control problems
-
Berlin
-
Agrawal, O.P., 2005, "A general scheme for stochastic analysis of fractional optimal control problems," in Fractional Differentiation and Its Applications, Mahaute, A. L., Machado, J. A. T., Trigeassou, J. C., and Sabatier, J. (eds.), U Books, Berlin, pp. 615-624.
-
(2005)
U Books
, pp. 615-624
-
-
Agrawal, O.P.1
-
5
-
-
34250210234
-
Fractional variational calculus in terms of Riesz fractional derivatives
-
Agrawal, O.P., 2007 a, " Fractional variational calculus in terms of Riesz fractional derivatives, " Journal of Physics A-Mathematical and Theoretical 40, 6287-6303.
-
(2007)
Journal of Physics A-Mathematical and Theoretical
, vol.40
, pp. 6287-6303
-
-
Agrawal, O.P.1
-
6
-
-
34748879376
-
Generalized Euler-Lagrange equations and transversality conditions for FVPs in terms of the Caputo derivative
-
Agrawal, O.P., 2007 b, " Generalized Euler-Lagrange equations and transversality conditions for FVPs in terms of the Caputo derivative, " Journal of Vibration and Control 13, 1217-1237.
-
(2007)
Journal of Vibration and Control
, vol.13
, pp. 1217-1237
-
-
Agrawal, O.P.1
-
7
-
-
34748901185
-
A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems
-
Agrawal, O.P. and Baleanu, D., 2007, " A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems, " Journal of Vibration and Control 13, 1269-1281.
-
(2007)
Journal of Vibration and Control
, vol.13
, pp. 1269-1281
-
-
Agrawal, O.P.1
Baleanu, D.2
-
8
-
-
15544372486
-
Special Issue: Fractional derivatives and their applications- Introduction
-
Agrawal, O.P., Machado, J.A.T., and Sabatier, J., 2004, " Special Issue: Fractional derivatives and their applications- Introduction, " Nonlinear Dynamics 38 (1-4). 1-2.
-
(2004)
Nonlinear Dynamics
, vol.38
, Issue.1-4
, pp. 1-2
-
-
Agrawal, O.P.1
MacHado, J.A.T.2
Sabatier, J.3
-
9
-
-
62849085116
-
2009, "a central difference numerical scheme for fractional optimal control problems
-
Baleanu, D., Defterli, O., and Agrawal, O.P., 2009, "A central difference numerical scheme for fractional optimal control problems, " Journal of Vibration and Control 15 (4). 583-597.
-
Journal of Vibration and Control
, vol.15
, Issue.4
, pp. 583-597
-
-
Baleanu, D.1
Defterli, O.2
Agrawal, O.P.3
-
10
-
-
33750541076
-
Fractional Hamiltonian analysis of higher order derivatives systems
-
Baleanu, D., Muslih, S.I., and Tas, K., 2006, " Fractional Hamiltonian analysis of higher order derivatives systems, " Journal of Mathematical Physics 47, 103503.
-
(2006)
Journal of Mathematical Physics
, vol.47
, pp. 103503
-
-
Baleanu, D.1
Muslih, S.I.2
Tas, K.3
-
11
-
-
23344444772
-
Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives
-
Baleanu, D. and Muslih, S.I., 2005, " Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives, " Physica Scripta 72, 119-123.
-
(2005)
Physica Scripta
, vol.72
, pp. 119-123
-
-
Baleanu, D.1
Muslih, S.I.2
-
12
-
-
15544382382
-
Tuning of PID controllers based on Bode's ideal transfer function
-
Barbosa, R.S., Machado, J.A.T., and Ferreira, I.M., 2004, " Tuning of PID controllers based on Bode's ideal transfer function, " Nonlinear Dynamics 38 (1-4). 305-321.
-
(2004)
Nonlinear Dynamics
, vol.38
, Issue.1-4
, pp. 305-321
-
-
Barbosa, R.S.1
MacHado, J.A.T.2
Ferreira, I.M.3
-
14
-
-
34047097242
-
Fractional embedding of differential operators and Lagrangian systems
-
Cresson, J., 2007, " Fractional embedding of differential operators and Lagrangian systems, " Journal of Mathematical Physics 48 (3). 03350 4.
-
(2007)
Journal of Mathematical Physics
, vol.48
, Issue.3
, pp. 033504
-
-
Cresson, J.1
-
15
-
-
34548583736
-
Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann-Liouville derivatives of order (alpha, beta)
-
El-Nabulsi, R.A. and Torres, D.F.M., 2007, " Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann-Liouville derivatives of order (alpha, beta), " Mathematical Methods in the Applied Sciences 30, 1931-1939.
-
(2007)
Mathematical Methods in the Applied Sciences
, vol.30
, pp. 1931-1939
-
-
El-Nabulsi, R.A.1
Torres, D.F.M.2
-
16
-
-
44649143140
-
Fractional actionlike variational problems
-
El-Nabulsi, R.A. and Torres, D.F.M., 2008, " Fractional actionlike variational problems, " Journal of Mathematical Physics 49 (5). 05352 1.
-
(2008)
Journal of Mathematical Physics
, vol.49
, Issue.5
, pp. 053521
-
-
El-Nabulsi, R.A.1
Torres, D.F.M.2
-
17
-
-
53949083449
-
Non-conservative Noether's theorem for fractional action-like variational problems with intrinsic and observer times
-
Frederico, G.S.F. and Torres, D.F.M., 2007, " Non-conservative Noether's theorem for fractional action-like variational problems with intrinsic and observer times, " International Journal of Ecological Economics and Statistics 9 (F07). 74-82.
-
(2007)
International Journal of Ecological Economics and Statistics
, vol.9
, Issue.F07
, pp. 74-82
-
-
Frederico, G.S.F.1
Torres, D.F.M.2
-
18
-
-
46249125645
-
Fractional conservation laws in optimal control theory
-
Frederico, G.S.F. and Torres, D.F.M., 2008 a, " Fractional conservation laws in optimal control theory, " Nonlinear Dynamics 53 (3). 215-222.
-
(2008)
Nonlinear Dynamics
, vol.53
, Issue.3
, pp. 215-222
-
-
Frederico, G.S.F.1
Torres, D.F.M.2
-
19
-
-
53949093156
-
Fractional optimal control in the sense of Caputo and the fractional Noether's theorem
-
Frederico, G.S.F. and Torres, D.F.M., 2008 b, " Fractional optimal control in the sense of Caputo and the fractional Noether's theorem, " International Mathematical Forum 3 (9-12). 479-493.
-
(2008)
International Mathematical Forum
, vol.3
, Issue.9-12
, pp. 479-493
-
-
Frederico, G.S.F.1
Torres, D.F.M.2
-
20
-
-
47049086566
-
Necessary optimality conditions for fractional action-like problems with intrinsic and observer times
-
Frederico, G.S.F. and Torres, D.F.M., 2008 c, " Necessary optimality conditions for fractional action-like problems with intrinsic and observer times, " WSEAS Transactions on Mathematics 7 (1). 6-11.
-
(2008)
WSEAS Transactions on Mathematics
, vol.7
, Issue.1
, pp. 6-11
-
-
Frederico, G.S.F.1
Torres, D.F.M.2
-
21
-
-
33847309315
-
-
Elsevier, New York.
-
Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J., 2006, Theory and Applications of Fractional Differential Equations, Elsevier, New York.
-
(2006)
Theory and Applications of Fractional Differential Equations
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
22
-
-
77952870870
-
Discrete time fractional order controllers
-
Springer, Berlin.
-
Liang, J., Zhang, W., Chen, Y.Q., and Podlubny, I., 2007, " Discrete time fractional order controllers, " in Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, Sabatier, J., Agrawal, O. P. and Machado, J. A. T. (eds.), Springer, Berlin.
-
(2007)
Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
-
-
Liang, J.1
Zhang, W.2
Chen, Y.Q.3
Podlubny, I.4
-
24
-
-
0002641421
-
The random walk's guide to anomalous diffusion: A fractional dynamics approach
-
Metzel, R. and Klafter, J., 2000, " The random walk's guide to anomalous diffusion: a fractional dynamics approach, " Physics Reports 339, 1-77.
-
(2000)
Physics Reports
, vol.339
, pp. 1-77
-
-
Metzel, R.1
Klafter, J.2
-
25
-
-
14844283120
-
Hamiltonian formulation of systems with linear velocities within Riemann- Liouville fractional derivative
-
Muslih, S.I. and Baleanu, D., 2005, " Hamiltonian formulation of systems with linear velocities within Riemann- Liouville fractional derivative, " Journal of Mathematical Analysis and Applications 304, 599-606.
-
(2005)
Journal of Mathematical Analysis and Applications
, vol.304
, pp. 599-606
-
-
Muslih, S.I.1
Baleanu, D.2
-
27
-
-
33750972567
-
The Hamilton formalism with fractional derivatives
-
Rabei, E.M., Nawafleh, K.I., Hijjawi, R.S., Muslih, S.I., and Baleanu, D., 2007, " The Hamilton formalism with fractional derivatives, " Journal of Mathematical Analysis and Applications 327, 891-897.
-
(2007)
Journal of Mathematical Analysis and Applications
, vol.327
, pp. 891-897
-
-
Rabei, E.M.1
Nawafleh, K.I.2
Hijjawi, R.S.3
Muslih, S.I.4
Baleanu, D.5
-
28
-
-
0003598080
-
-
Gordon and Breach, Linghorne, PA.
-
Samko, S.G., Kilbas, A.A., and Marichev, O.I., 1993, Fractional Integrals and Derivatives-Theory and Applications, Gordon and Breach, Linghorne, PA.
-
(1993)
Fractional Integrals and Derivatives-Theory and Applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
30
-
-
78649501096
-
Solving fractional order optimal control problems in RIOTS 95 - A general-purpose optimal control problem solver
-
Ankara, Turkey, 5-7 November.
-
Tricaud, C. and Chen, Y.Q., 2008, " Solving fractional order optimal control problems in RIOTS 95-a general-purpose optimal control problem solver, " in Proceedings of the 3rd IFAC Workshop on Fractional Differentiation and its Applications, Ankara, Turkey, 5-7 November.
-
(2008)
Proceedings of the 3rd IFAC Workshop on Fractional Differentiation and Its Applications
-
-
Tricaud, C.1
Chen, Y.Q.2
-
31
-
-
38149057159
-
Optimal fractional controllers for rational order systems: A special case of the Wiener-Hopf spectral factorization method
-
Vinagre, B.M. and Feliu, V., 2007, " Optimal fractional controllers for rational order systems: A special case of the Wiener-Hopf spectral factorization method, " IEEE Transactions on Automatic Control 52 (12). 2385-2389.
-
(2007)
IEEE Transactions on Automatic Control
, vol.52
, Issue.12
, pp. 2385-2389
-
-
Vinagre, B.M.1
Feliu, V.2
-
32
-
-
34748892330
-
Fractional PID controllers for industry application. A brief introduction
-
Vinagre, B.M., Monje, C.A., Calderon, A.J., and Suarez, J.I., 2007, " Fractional PID controllers for industry application. A brief introduction, " Journal of Vibration and Control 13 (9-10). 1419-1429.
-
(2007)
Journal of Vibration and Control
, vol.13
, Issue.9-10
, pp. 1419-1429
-
-
Vinagre, B.M.1
Monje, C.A.2
Calderon, A.J.3
Suarez, J.I.4
|