-
1
-
-
70449693313
-
FOPID con-troller design for robust performance using particle swarm optimization
-
M. Zamani, M. Karimi-Ghartemani, and N. Sadati FOPID con-troller design for robust performance using particle swarm optimization J. Fract. Calc. Appl. Anal. FCAA 10 2 2007 169 188
-
(2007)
J. Fract. Calc. Appl. Anal. FCAA
, vol.10
, Issue.2
, pp. 169-188
-
-
Zamani, M.1
Karimi-Ghartemani, M.2
Sadati, N.3
-
3
-
-
0036855685
-
It isn't the calculus we knew: Equations built on fractional derivatives describe the anomalously slow diffusion observed in systems with a broad distribution of relaxation times
-
I.M. Sokolov, J. Klafter, and Blumen It isn't the calculus we knew: equations built on fractional derivatives describe the anomalously slow diffusion observed in systems with a broad distribution of relaxation times Phys. Today 2002 48 54
-
(2002)
Phys. Today
, pp. 48-54
-
-
Sokolov, I.M.1
Klafter, J.2
Blumen3
-
5
-
-
0001983732
-
Some basic problem in continuum and statistical mechanics
-
A. Carpinteri, F. Mainardi, CISM Courses and Lecture Springer-Verlag Wien
-
F. Mainardi Some basic problem in continuum and statistical mechanics A. Carpinteri, F. Mainardi, Fractals and Fractional Calculus in Continuum Mechanics CISM Courses and Lecture vol. 378 1997 Springer-Verlag Wien 291 348
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, vol.378
, pp. 291-348
-
-
Mainardi, F.1
-
6
-
-
0031379356
-
Model of diffusion waves in viscoelasticity based on fractal calculus
-
O.R. Gonzales, IEEE New york
-
F. Mainardi, and P. Paradisi Model of diffusion waves in viscoelasticity based on fractal calculus O.R. Gonzales, Proceedings of IEEE Conference of Decision and Control vol. 5 1997 IEEE New york 4961 4966
-
(1997)
Proceedings of IEEE Conference of Decision and Control
, vol.5
, pp. 4961-4966
-
-
Mainardi, F.1
Paradisi, P.2
-
7
-
-
0037457788
-
The Wright functions as solutions of time-fractional diffusion equation
-
Francesco Mainardi, and Gianni Pagnini The Wright functions as solutions of time-fractional diffusion equation Appl. Math. Comput. 141 2003 51 62
-
(2003)
Appl. Math. Comput.
, vol.141
, pp. 51-62
-
-
Mainardi, F.1
Pagnini, G.2
-
10
-
-
0026838776
-
A penalization method for optimal control of elliptic problems with state constraints
-
M. Bergounioux A penalization method for optimal control of elliptic problems with state constraints SIAM J. Control Optim. 30 2 1992 305 323
-
(1992)
SIAM J. Control Optim.
, vol.30
, Issue.2
, pp. 305-323
-
-
Bergounioux, M.1
-
11
-
-
76449090648
-
Control of Cauchy system for an elliptic operator
-
G.M. Mophou, and O. Nakoulima Control of Cauchy system for an elliptic operator Acta Math. Sin. 25 11 2009 1819 1834
-
(2009)
Acta Math. Sin.
, vol.25
, Issue.11
, pp. 1819-1834
-
-
Mophou, G.M.1
Nakoulima, O.2
-
12
-
-
0021587924
-
On the choice of the function space for some state constrained control problems
-
J.F. Bonnans, and E. Casas On the choice of the function space for some state constrained control problems Numer. Funct. Anal. Optim. 4 19841985 333 348 (Pubitemid 15542080)
-
(1984)
Numerical Functional Analysis and Optimization
, vol.7
, Issue.4
, pp. 333-348
-
-
Bonnans, J.F.1
Casas, E.2
-
13
-
-
79960994234
-
Quelques méthodes pour le contrle optimal de problme comportant des contraintes sur l'état
-
913 September
-
J.F. Bonnans, E. Casas, Quelques méthodes pour le contrle optimal de problme comportant des contraintes sur l'état, in: 4th Workshop on Differential Equations and Control Theory, Iasi, Romania, 913 September 1984.
-
(1984)
4th Workshop on Differential Equations and Control Theory, Iasi, Romania
-
-
Bonnans, J.F.1
Casas, E.2
-
14
-
-
0022810709
-
Control of an elliptic problem with pointwise state constraints
-
E. Casas Control of an elliptic problem with pointwise state constraints SIAM J. Control Optim. 6 1986 1309 1322
-
(1986)
SIAM J. Control Optim.
, vol.6
, pp. 1309-1322
-
-
Casas, E.1
-
15
-
-
0019171913
-
State constrained control problems for parabolic systems: Regularity of optimal solutions
-
I. Lasiecka State constrained control problems for parabolic systems: regularity of optimal solutions Appl. Math. Optim. 6 1980 1 29 (Pubitemid 11421443)
-
(1980)
Applied Mathematics and Optimization
, vol.6
, Issue.1
, pp. 1-29
-
-
Lasiecka, I.1
-
16
-
-
0020135191
-
Convex parabolic boundary control problems with pointwise state constraints
-
U. Mackenroth Convex parabolic boundary control problems with pointwise state constraints J. Math. Anal. Appl. 87 1982 256 277
-
(1982)
J. Math. Anal. Appl.
, vol.87
, pp. 256-277
-
-
MacKenroth, U.1
-
17
-
-
0030108550
-
General optimality conditions for constrained convex control problems
-
M. Bergounioux, and D. Tiba General optimality conditions for constrained convex control problems SIAM J. Control Optim. 34 2 1996 698 711 (Pubitemid 126564978)
-
(1996)
SIAM Journal on Control and Optimization
, vol.34
, Issue.2
, pp. 698-711
-
-
Bergounioux, M.1
Tiba, D.2
-
18
-
-
15544379439
-
A general formulation and solution scheme for fractional optimal control problems
-
DOI 10.1007/s11071-004-3764-6
-
O.P. Agrawal A general formulation and solution scheme for fractional optimal control problems Nonlinear Dynam. 38 2004 323 337 (Pubitemid 40400624)
-
(2004)
Nonlinear Dynamics
, vol.38
, Issue.1-4
, pp. 323-337
-
-
Agrawal, O.P.1
-
19
-
-
0036701004
-
Formulation of Euler-Lagrange equations for fractional variational problems
-
O.P. Agrawal Formulation of Euler-Lagrange equations for fractional variational problems J. Math. Anal. 272 2002 368 379
-
(2002)
J. Math. Anal.
, vol.272
, pp. 368-379
-
-
Agrawal, O.P.1
-
20
-
-
53949093156
-
Fractional optimal control in the sense of Caputo and the fractional Noether's Theorem
-
S.F. Frederico Gastao, and F.M. Torres Delfim Fractional optimal control in the sense of Caputo and the fractional Noether's Theorem Int. Math. Forum 3 10 2008 479 493
-
(2008)
Int. Math. Forum
, vol.3
, Issue.10
, pp. 479-493
-
-
Frederico Gastao, S.F.1
Torres Delfim, F.M.2
-
21
-
-
47249146999
-
Fractional optimal control of a distributed system using eigenfunctions
-
10.1115/1.2833873
-
O.P. Agrawal Fractional optimal control of a distributed system using eigenfunctions J. Comput. Nonlinear Dyn. 2008 10.1115/1.2833873
-
(2008)
J. Comput. Nonlinear Dyn.
-
-
Agrawal, O.P.1
-
22
-
-
57549096344
-
Fractional optimal control problem of a distributed system in cylindrical coordinates
-
Necati zdemir, Derya Karadeniz, and Beyza B. Iskender Fractional optimal control problem of a distributed system in cylindrical coordinates Phys. Lett. A 373 2009 221 226
-
(2009)
Phys. Lett. A
, vol.373
, pp. 221-226
-
-
Zdemir, N.1
Karadeniz, D.2
Iskender, B.B.3
-
23
-
-
67649553786
-
Optimality conditions and a solution scheme for fractional optimal control problems
-
Zoran D. Jelicic, and Nebojsa Petrovacki Optimality conditions and a solution scheme for fractional optimal control problems Struct. Multidiscip. Optim. 38 6 2009 571 581
-
(2009)
Struct. Multidiscip. Optim.
, vol.38
, Issue.6
, pp. 571-581
-
-
Jelicic, Z.D.1
Petrovacki, N.2
-
24
-
-
78649510179
-
Fractional optimal control problems with several state and control variables
-
O.P. Agrawal, O. Defterli, and D. Baleanu Fractional optimal control problems with several state and control variables J. Vib. Control 16 13 2010 1967 1976
-
(2010)
J. Vib. Control
, vol.16
, Issue.13
, pp. 1967-1976
-
-
Agrawal, O.P.1
Defterli, O.2
Baleanu, D.3
-
25
-
-
77958009389
-
A class of fractional evolution equations and optimal controls
-
J.R. Wang, and Y. Zhou A class of fractional evolution equations and optimal controls Nonlinear Anal. RWA 12 2011 262 272
-
(2011)
Nonlinear Anal. RWA
, vol.12
, pp. 262-272
-
-
Wang, J.R.1
Zhou, Y.2
-
26
-
-
78649447065
-
Optimal control of fractional diffusion equation
-
G.M. Mophou Optimal control of fractional diffusion equation Comput. Math. Appl. 61 2011 68 78
-
(2011)
Comput. Math. Appl.
, vol.61
, pp. 68-78
-
-
Mophou, G.M.1
-
27
-
-
79960978683
-
Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation
-
doi:10.1016/j.camwa.2011.03.025
-
R. Dorville, G.M. Mophou, V.S. Valmorin, Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation, Comput. Math. Appl. doi:10.1016/j.camwa.2011.03.025.
-
Comput. Math. Appl.
-
-
Dorville, R.1
Mophou, G.M.2
Valmorin, V.S.3
-
32
-
-
79951781633
-
Overview to mathematical analysis for fractional diffusion equationsnew mathematical aspects motivated by industrial collaboration
-
Junichi Nakagawa, Kenichi Sakamoto, and Masahiro Yamamoto Overview to mathematical analysis for fractional diffusion equationsnew mathematical aspects motivated by industrial collaboration J. Math. Ind. 2 A-10 2010 99 108
-
(2010)
J. Math. Ind.
, vol.2
, Issue.A-10
, pp. 99-108
-
-
Nakagawa, J.1
Sakamoto, K.2
Yamamoto, M.3
-
33
-
-
0002641421
-
The random walk's guide to anomalous diffusion: A fractional dynamics approach
-
R. Metzler, and J. Klafter The random walk's guide to anomalous diffusion: a fractional dynamics approach Phys. Rep. 339 2000 1 77
-
(2000)
Phys. Rep.
, vol.339
, pp. 1-77
-
-
Metzler, R.1
Klafter, J.2
-
35
-
-
0009481303
-
The fractional diffusion equation
-
W. Wyss The fractional diffusion equation J. Math. Phys. 27 1986 2782 2785
-
(1986)
J. Math. Phys.
, vol.27
, pp. 2782-2785
-
-
Wyss, W.1
-
37
-
-
79960974149
-
On a class of fractional differential equations in a Sobolev space
-
doi:10.1080/00036811.2010.534730
-
G.M. Mophou, G.M. N'Guérékata, On a class of fractional differential equations in a Sobolev space, Appl. Anal., in press (doi:10.1080/00036811.2010.534730).
-
Appl. Anal.
-
-
Mophou, G.M.1
|