-
2
-
-
51249169579
-
Mean fractional-order-derivatives differential equations and filters
-
M. Caputo Mean fractional-order-derivatives differential equations and filters Annali dell'Universita di Ferrara 41 1995 73 84
-
(1995)
Annali dell'Universita di Ferrara
, vol.41
, pp. 73-84
-
-
Caputo, M.1
-
3
-
-
0001342751
-
On the existence of the order domain and the solution of distributed order equations (Parts I, II)
-
965-87
-
R.L. Bagley, and P.J. Torvik On the existence of the order domain and the solution of distributed order equations (Parts I, II) International Journal of Applied Mechanics 2 2000 865 882 965-87
-
(2000)
International Journal of Applied Mechanics
, vol.2
, pp. 865-882
-
-
Bagley, R.L.1
Torvik, P.J.2
-
6
-
-
0036650957
-
Variable order and distributed order fractional operators
-
DOI 10.1023/A:1016586905654, Fractional Order Calculus and Its Applications
-
C.F. Lorenzo, and T.T. Hartley Variable order and distributed order fractional operators Nonlinear Dynamics 29 1-4 2002 57 98 (Pubitemid 34945393)
-
(2002)
Nonlinear Dynamics
, vol.29
, Issue.1-4
, pp. 57-98
-
-
Lorenzo, C.F.1
Hartley, T.T.2
-
8
-
-
0036964107
-
A generalized model for the uniaxial isothermal deformation of a viscoelastic body
-
T.M. Atanackovic A generalized model for the uniaxial isothermal deformation of a viscoelastic body Acta Mechanica 159 2002 77 86
-
(2002)
Acta Mechanica
, vol.159
, pp. 77-86
-
-
Atanackovic, T.M.1
-
9
-
-
0142183629
-
On a distributed derivative model of a viscoelastic body
-
DOI 10.1016/j.crme.2003.08.003
-
T.M. Atanackovic On a distributed derivative model of a viscoelastic body Comptes Rendus Mecanique 331 2003 687 692 (Pubitemid 37314589)
-
(2003)
Comptes Rendus - Mecanique
, vol.331
, Issue.10
, pp. 687-692
-
-
Atanackovic, T.M.1
-
11
-
-
15544379185
-
A generalised fractional derivative approach to viscoelastic material properties measurement
-
DOI 10.1016/j.amc.2004.06.099, PII S0096300304003315, 12th International Workshop on Dynamics and Control
-
J.J. de Espindola, J.M. da Silva Neto, and E.M.O. Lopes A generalised fractional derivative approach to viscoelastic material properties measurement Applied Mathematics and Computation 164 2005 493 506 (Pubitemid 40402967)
-
(2005)
Applied Mathematics and Computation
, vol.164
, Issue.2
, pp. 493-506
-
-
De Espiindola, J.J.1
Da Silva Neto, J.M.2
Lopes, E.M.O.3
-
12
-
-
79961122571
-
Fractional relaxation and time-fractional diffusion of distributed order
-
Mainardi F, Mura A, Pagnini G, Gorenflo R. Fractional relaxation and time-fractional diffusion of distributed order. In: Proceedings of the second IFAC workshop on fractional differentiation and its applications, vol. 2; 2006. p. 27-37.
-
(2006)
Proceedings of the Second IFAC Workshop on Fractional Differentiation and Its Applications
, vol.2
, pp. 27-37
-
-
Mainardi, F.1
Mura, A.2
Pagnini, G.3
Gorenflo, R.4
-
16
-
-
78650021700
-
Nonlinear fractional derivative models of viscoelastic impact dynamics based on entropy elasticity and generalized Maxwell law
-
M. Fukunaga, and N. Shimizu Nonlinear fractional derivative models of viscoelastic impact dynamics based on entropy elasticity and generalized Maxwell law Computational and Nonlinear Dynamics 6 2 2011 021005
-
(2011)
Computational and Nonlinear Dynamics
, vol.6
, Issue.2
, pp. 021005
-
-
Fukunaga, M.1
Shimizu, N.2
-
17
-
-
0003896880
-
Fractional system identification an approach using continuous order-distributions
-
T.T. Hartley, and C.F. Lorenzo Fractional system identification an approach using continuous order-distributions NASA Technical Memorandum 1999 209640
-
(1999)
NASA Technical Memorandum
, pp. 209640
-
-
Hartley, T.T.1
Lorenzo, C.F.2
-
18
-
-
0141892685
-
Fractional-order system identification based on continuous order-distributions
-
T.T. Hartley, and C.F. Lorenzo Fractional-order system identification based on continuous order-distributions Signal Processing 83 11 2003 2287 2300
-
(2003)
Signal Processing
, vol.83
, Issue.11
, pp. 2287-2300
-
-
Hartley, T.T.1
Lorenzo, C.F.2
-
22
-
-
79551493680
-
On distributed order integrator/differentiator
-
Y. Li, H. Sheng, and Y.Q. Chen On distributed order integrator/ differentiator Signal Processing 91 5 2011 1079 1084
-
(2011)
Signal Processing
, vol.91
, Issue.5
, pp. 1079-1084
-
-
Li, Y.1
Sheng, H.2
Chen, Y.Q.3
-
23
-
-
77957368251
-
On distributed order low pass filter, Mechatronics and embedded systems and applications (MESA)
-
Li Y, Sheng H, Chen YQ. On distributed order low pass filter, Mechatronics and embedded systems and applications (MESA). In: Proceedings of the 2010 IEEE/ASME international conference, vol. 15-17; 2010. p. 588-92.
-
(2010)
Proceedings of the 2010 IEEE/ASME International Conference
, vol.15-17
, pp. 588-592
-
-
Li, Y.1
Sheng, H.2
Chen, Y.Q.3
-
24
-
-
84867466307
-
On distributed order lead-lag compensator
-
Badajoz, Spain; October 18-20
-
Li Y, Sheng H, Chen YQ. On distributed order lead-lag compensator, In: Proceedings of the fourth IFAC workshop fractional differentiation and its applications, Badajoz, Spain; October 18-20, 2010.
-
(2010)
Proceedings of the Fourth IFAC Workshop Fractional Differentiation and Its Applications
-
-
Li, Y.1
Sheng, H.2
Chen, Y.Q.3
-
26
-
-
67149125441
-
Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations
-
Atanackovic TM, Pilipović S, Zorica D. Time distributed-order diffusion-wave equation. II. Applications of Laplace and Fourier transformations. In: Proceedings of the Royal Society A, vol. 465; 2009. p. 1893-917.
-
(2009)
Proceedings of the Royal Society A
, vol.465
, pp. 1893-1917
-
-
Atanackovic, T.M.1
Pilipović, S.2
Zorica, D.3
-
27
-
-
68649098514
-
Variable-order fractional differential operators in anomalous diffusion modeling
-
H. Sun, W. Chen, and Y.Q. Chen Variable-order fractional differential operators in anomalous diffusion modeling Physica A Statistical Mechanics and its Applications 388 21 2009 4586 4592
-
(2009)
Physica A Statistical Mechanics and Its Applications
, vol.388
, Issue.21
, pp. 4586-4592
-
-
Sun, H.1
Chen, W.2
Chen, Y.Q.3
-
28
-
-
73749087815
-
On mean square displacement behaviors of anomalous diffusions with variable and random orders
-
H. Sun, W. Chen, H. Sheng, and Y.Q. Chen On mean square displacement behaviors of anomalous diffusions with variable and random orders Physics Letters A 374 2010 906 910
-
(2010)
Physics Letters A
, vol.374
, pp. 906-910
-
-
Sun, H.1
Chen, W.2
Sheng, H.3
Chen, Y.Q.4
-
35
-
-
0000227056
-
Distributed order differential equations modelling dielectric induction and diffusion
-
M. Caputo Distributed order differential equations modelling dielectric induction and diffusion Fractional Calculus & Applied Analysis 4 4 2001 421 442
-
(2001)
Fractional Calculus & Applied Analysis
, vol.4
, Issue.4
, pp. 421-442
-
-
Caputo, M.1
-
36
-
-
52349083860
-
Time-fractional diffusion of distributed order
-
F. Mainardi, A. Mura, G. Pagnini, and R. Gorenflo Time-fractional diffusion of distributed order Journal of Vibration and Control 14 9-10 2008 1267 1290
-
(2008)
Journal of Vibration and Control
, vol.14
, Issue.910
, pp. 1267-1290
-
-
Mainardi, F.1
Mura, A.2
Pagnini, G.3
Gorenflo, R.4
-
37
-
-
34547102267
-
The role of the Fox-Wright functions in fractional sub-diffusion of distributed order
-
DOI 10.1016/j.cam.2006.10.014, PII S0377042706006017
-
F. Mainardi, and G. Pagnini The role of the Fox-Wright functions in fractional sub-diffusion of distributed order Journal of Computational and Applied Mathematics 207 2 2007 245 257 (Pubitemid 47102000)
-
(2007)
Journal of Computational and Applied Mathematics
, vol.207
, Issue.2
, pp. 245-257
-
-
Mainardi, F.1
Pagnini, G.2
-
38
-
-
84555190064
-
Stability analysis of distributed order fractional differential equations
-
H.S. Najafi, A.R. Sheikhani, and A. Ansari Stability analysis of distributed order fractional differential equations Abstract and Applied Analysis 2011 175323 2011 12
-
(2011)
Abstract and Applied Analysis
, vol.2011
, pp. 12
-
-
Najafi, H.S.1
Sheikhani, A.R.2
Ansari, A.3
-
40
-
-
53449102089
-
Lévy flights in nonhomogeneous media distributed-order fractional equation approach
-
T. Srokowski Lévy flights in nonhomogeneous media distributed-order fractional equation approach Physical Review E 78 3 2008 031135
-
(2008)
Physical Review e
, vol.78
, Issue.3
, pp. 031135
-
-
Srokowski, T.1
-
41
-
-
77952873423
-
Existence and calculation of the solution to the time distributed order diffusion equation
-
T.M. Atanackovic, S. Pilipović, and D. Zorica Existence and calculation of the solution to the time distributed order diffusion equation Physica Scripta T 136 2009 014012
-
(2009)
Physica Scripta T
, vol.136
, pp. 014012
-
-
Atanackovic, T.M.1
Pilipović, S.2
Zorica, D.3
-
42
-
-
34748907169
-
The two forms of fractional relaxation of distributed order
-
DOI 10.1177/1077546307077468
-
F. Mainardi, A. Mura, R. Gorenflo, and M. Stojanovic The two forms of fractional relaxation of distributed order Journal of Vibration and Control 9 2007 1249 1268 (Pubitemid 47482811)
-
(2007)
JVC/Journal of Vibration and Control
, vol.13
, Issue.9-10
, pp. 1249-1268
-
-
Mainardi, F.1
Mura, A.2
Gorenflo, R.3
Stojanovic, M.4
-
43
-
-
37449011239
-
Distributed order calculus and equations of ultraslow diffusion
-
A.N. Kochubei Distributed order calculus and equations of ultraslow diffusion Journal of Mathematical Analysis and Applications 340 1 2008 252 281
-
(2008)
Journal of Mathematical Analysis and Applications
, vol.340
, Issue.1
, pp. 252-281
-
-
Kochubei, A.N.1
-
44
-
-
77957363180
-
Random walk models associated with distributed fractional order differential equations
-
S. Umarov, and S. Steinberg Random walk models associated with distributed fractional order differential equations Lecture Notes: Monograph Series 51 2006 117 127
-
(2006)
Lecture Notes: Monograph Series
, vol.51
, pp. 117-127
-
-
Umarov, S.1
Steinberg, S.2
-
48
-
-
33745759950
-
Intermediate processes and critical phenomena theory, method and progress of fractional operators and their applications to modern mechanics
-
M. Xu, and W. Tan Intermediate processes and critical phenomena theory, method and progress of fractional operators and their applications to modern mechanics Science in China Series G Physics Mechanics and Astronomy 49 3 2006 257 272
-
(2006)
Science in China Series G Physics Mechanics and Astronomy
, vol.49
, Issue.3
, pp. 257-272
-
-
Xu, M.1
Tan, W.2
-
50
-
-
84863578236
-
Theory and implementation of distributed-order element networks
-
Washington, DC, USA; August 28-31 (2011) 361-67
-
Li Y, Chen YQ. Theory and implementation of distributed-order element networks. In: Proceedings of the ASME 2011 international design engineering technical conferences and computers and information in engineering conference (IDETC/CIE2011), Washington, DC, USA; August 28-31, 2011. (54808) (2011) 361-67.
-
(2011)
Proceedings of the ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE2011)
, pp. 54808
-
-
Li, Y.1
Chen, Y.Q.2
-
51
-
-
84876856199
-
An implementation of distributed order PI controller and its applications to the wheeled service robot
-
Hohai University, Nanjing, China; May 14-17
-
Zhou F, Zhao Y, Li Y, Chen YQ. An implementation of distributed order PI controller and its applications to the wheeled service robot. In: Proceedings of the fifth symposium on fractional differentiation and its applications, Hohai University, Nanjing, China; May 14-17, 2012. p. #90.
-
(2012)
Proceedings of the Fifth Symposium on Fractional Differentiation and Its Applications
, pp. 90
-
-
Zhou, F.1
Zhao, Y.2
Li, Y.3
Chen, Y.Q.4
-
52
-
-
80053927109
-
Viscoelastic behavior through fractional calculus: An easier method for best fitting experimental results
-
M.D. Paola, M. Pirrota, and A. Valenza Viscoelastic behavior through fractional calculus: an easier method for best fitting experimental results Mechanics of Materials 43 12 2011 799 806
-
(2011)
Mechanics of Materials
, vol.43
, Issue.12
, pp. 799-806
-
-
Paola, M.D.1
Pirrota, M.2
Valenza, A.3
-
53
-
-
84864341024
-
Exact mechanical models of fractional hereditary materials
-
M.D. Paola, and M. Zingales Exact mechanical models of fractional hereditary materials Journal of Rheology 56 5 2011 983 1004
-
(2011)
Journal of Rheology
, vol.56
, Issue.5
, pp. 983-1004
-
-
Paola, M.D.1
Zingales, M.2
-
54
-
-
2642547272
-
Experimental Lagrangian acceleration probability density function measurement
-
N. Mordant, A.M. Crawford, and E. Bodenschatz Experimental Lagrangian acceleration probability density function measurement Physica D Nonlinear Phenomena 193 1-4 2004 245 251
-
(2004)
Physica D Nonlinear Phenomena
, vol.193
, Issue.14
, pp. 245-251
-
-
Mordant, N.1
Crawford, A.M.2
Bodenschatz, E.3
-
55
-
-
0035931880
-
Fluid particle accelerations in fully developed turbulence
-
DOI 10.1038/35059027
-
A.L. Porta, G.A. Voth, A.M. Crawford, J. Alexander, and E. Bodenschatz Fluid particle accelerations in fully developed turbulence Nature 409 6823 2001 1017 1019 (Pubitemid 32204048)
-
(2001)
Nature
, vol.409
, Issue.6823
, pp. 1017-1019
-
-
La Porta, A.1
Voth, G.A.2
Crawford, A.M.3
Alexander, J.4
Bodenschatz, E.5
-
56
-
-
3042739081
-
Temporal statistics in high Rayleigh number convective turbulence
-
R. Camussi, and R. Verzicco Temporal statistics in high Rayleigh number convective turbulence European Journal of Mechanics B/Fluids 23 3 2004 427 442
-
(2004)
European Journal of Mechanics B/Fluids
, vol.23
, Issue.3
, pp. 427-442
-
-
Camussi, R.1
Verzicco, R.2
-
64
-
-
33847309315
-
-
Elsevier Science Inc. New York, NY, USA
-
A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo Theory and applications of fractional differential equations vol. 204 2006 Elsevier Science Inc. New York, NY, USA
-
(2006)
Theory and Applications of Fractional Differential Equations
, vol.204
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
65
-
-
0242354999
-
Geometric and physical interpretation of fractional integration and fractional differentiation
-
I. Podlubny Geometric and physical interpretation of fractional integration and fractional differentiation Fractional Calculus and Applied Analysis 5 4 2002 367 386
-
(2002)
Fractional Calculus and Applied Analysis
, vol.5
, Issue.4
, pp. 367-386
-
-
Podlubny, I.1
-
66
-
-
33745869026
-
Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
-
I. Podlubny, and N. Heymans Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives Rheologica Acta 45 5 2006 765 772
-
(2006)
Rheologica Acta
, vol.45
, Issue.5
, pp. 765-772
-
-
Podlubny, I.1
Heymans, N.2
-
68
-
-
67650624466
-
Fractional-order feedback control of a dc motor
-
I. Petráš Fractional-order feedback control of a dc motor Journal of Electrical Engineering 60 3 2009 117 128
-
(2009)
Journal of Electrical Engineering
, vol.60
, Issue.3
, pp. 117-128
-
-
Petráš, I.1
-
69
-
-
41549148741
-
Tuning and auto-tuning of fractional order controllers for industry applications
-
DOI 10.1016/j.conengprac.2007.08.006, PII S0967066107001566
-
C.A. Monje, B.M. Vinagre, V. Feliu, and Y.Q. Chen Tuning and auto-tuning of fractional order controllers for industry applications Control Engineering Practice 16 7 2008 798 812 (Pubitemid 351470859)
-
(2008)
Control Engineering Practice
, vol.16
, Issue.7
, pp. 798-812
-
-
Monje, C.A.1
Vinagre, B.M.2
Feliu, V.3
Chen, Y.4
-
70
-
-
84857037252
-
Improved model reduction and tuning of fractional-order controllers for analytical rule extraction with genetic programming
-
S. Das, I. Pan, S. Das, and A. Gupta Improved model reduction and tuning of fractional-order controllers for analytical rule extraction with genetic programming ISA Transactions 51 2 2012 237 261
-
(2012)
ISA Transactions
, vol.51
, Issue.2
, pp. 237-261
-
-
Das, S.1
Pan, I.2
Das, S.3
Gupta, A.4
-
71
-
-
79955905595
-
Classical controller design techniques for fractional order case
-
C. Yeroglu, and N. Tan Classical controller design techniques for fractional order case ISA Transactions 50 3 2011 461 472
-
(2011)
ISA Transactions
, vol.50
, Issue.3
, pp. 461-472
-
-
Yeroglu, C.1
Tan, N.2
-
79
-
-
79955893889
-
On the selection of tuning methodology of fopid controllers for the control of higher order processes
-
S. Das, S. Saha, S. Das, and A. Gupta On the selection of tuning methodology of fopid controllers for the control of higher order processes ISA Transactions 50 3 2011 376 388
-
(2011)
ISA Transactions
, vol.50
, Issue.3
, pp. 376-388
-
-
Das, S.1
Saha, S.2
Das, S.3
Gupta, A.4
-
80
-
-
68949169312
-
On robust stability of linear time invariant fractional-order systems with real parametric uncertainties
-
K.A. Moornani, and M. Haeri On robust stability of linear time invariant fractional-order systems with real parametric uncertainties ISA Transactions 48 4 2009 484 490
-
(2009)
ISA Transactions
, vol.48
, Issue.4
, pp. 484-490
-
-
Moornani, K.A.1
Haeri, M.2
|