-
1
-
-
77954420184
-
Numerical solutions to integral equations equivalent to differential equations with fractional time
-
B. Bandrowski, A. Karczewska, and P. Rozmej, "Numerical solutions to integral equations equivalent to differential equations with fractional time," International Journal of Applied Mathematics and Computer Science, vol. Vol. 20, no. no 2, pp. 261-269, 2010.
-
(2010)
International Journal of Applied Mathematics and Computer Science
, vol.20
, Issue.2
, pp. 261-269
-
-
Bandrowski, B.1
Karczewska, A.2
Rozmej, P.3
-
2
-
-
44649104914
-
Implementation of discrete-time fractional-order controllers based on LS approximations
-
R. Barbosa and J. Machado, "Implementation of discrete-time fractional-order controllers based on LS approximations," Acta Polytechnica Hungarica, vol. 3, pp. 5-22, 2006.
-
(2006)
Acta Polytechnica Hungarica
, vol.3
, pp. 5-22
-
-
Barbosa, R.1
Machado, J.2
-
3
-
-
69149089847
-
Simple conditions for practical stability of positive fractional discrete-time linear systems
-
M. Busłowicz and T. Kaczorek, "Simple conditions for practical stability of positive fractional discrete-time linear systems," International Journal of Applied Mathematics and Computer Science, vol. 19, no. 2, pp. 263-269, 2009.
-
(2009)
International Journal of Applied Mathematics and Computer Science
, vol.19
, Issue.2
, pp. 263-269
-
-
Busłowicz, M.1
Kaczorek, T.2
-
4
-
-
1842684718
-
A new discretization method for fractional order differentiators via continued fraction expansion
-
Chicago, IL
-
Y. Chen, B. Vinagre, and I. Podlubny, "A new discretization method for fractional order differentiators via continued fraction expansion," in Proceedings of DETC'2003, ASME Design Engineering Technical Conferences, vol. 340, Chicago, IL, 2003, pp. 349-362.
-
(2003)
Proceedings of DETC'2003, ASME Design Engineering Technical Conferences
, vol.340
, pp. 349-362
-
-
Chen, Y.1
Vinagre, B.2
Podlubny, I.3
-
5
-
-
52349085396
-
Stability of discrete fractional order state-space systems
-
A. Dzieliński and D. Sierociuk, "Stability of discrete fractional order state-space systems," Journal of Vibration and Control, vol. 14, no. 9-10, pp. 1543-1556, 2008.
-
(2008)
Journal of Vibration and Control
, vol.14
, Issue.9-10
, pp. 1543-1556
-
-
Dzieliński, A.1
Sierociuk, D.2
-
6
-
-
84871002986
-
A new approach for stability analysis of linear discrete-time fractional-order systems
-
D. Baleanu, Z. B. Güvenç, and J. A. T. Machado, Eds. Springer Netherlands
-
S. Guermah, S. Djennoune, and M. Bettayeb, "A new approach for stability analysis of linear discrete-time fractional-order systems," in New Trends in Nanotechnology and Fractional Calculus Applications, D. Baleanu, Z. B. Güvenç, and J. A. T. Machado, Eds. Springer Netherlands, 2010, pp. 151-162.
-
(2010)
New Trends in Nanotechnology and Fractional Calculus Applications
, pp. 151-162
-
-
Guermah, S.1
Djennoune, S.2
Bettayeb, M.3
-
7
-
-
57749088785
-
Practical stability of positive fractional discrete-time linear systems
-
T. Kaczorek, "Practical stability of positive fractional discrete-time linear systems," Bulletin of the Polish Academy of Sciences, vol. 56, no. 4, pp. 313-317, 2008.
-
(2008)
Bulletin of the Polish Academy of Sciences
, vol.56
, Issue.4
, pp. 313-317
-
-
Kaczorek, T.1
-
8
-
-
77955261135
-
A digital, noninteger order, differentiator using laguerre orthogonal sequences
-
G. Maione, "A digital, noninteger order, differentiator using laguerre orthogonal sequences," International Journal of intelligent control and systems, vol. 11, pp. 77-81, 2006.
-
(2006)
International Journal of Intelligent Control and Systems
, vol.11
, pp. 77-81
-
-
Maione, G.1
-
10
-
-
34250661428
-
Numerical approach to differential equations of fractional order
-
special Issue: Variational Iteration MethodReality, Potential, and Challenges
-
S. Momani and Z. Odibat, "Numerical approach to differential equations of fractional order," Journal of Computational and Applied Mathematics, vol. 207, no. 1, pp. 96-110, 2007, special Issue: Variational Iteration MethodReality, Potential, and Challenges.
-
(2007)
Journal of Computational and Applied Mathematics
, vol.207
, Issue.1
, pp. 96-110
-
-
Momani, S.1
Odibat, Z.2
-
11
-
-
79952143317
-
-
London, UK: Springer-Verlag
-
C. Monje, Y. Chen, B. Vinagre, D. Xue, and V. Feliu, Fractional-order Systems and Controls. London, UK: Springer-Verlag, 2010.
-
(2010)
Fractional-order Systems and Controls
-
-
Monje, C.1
Chen, Y.2
Vinagre, B.3
Xue, D.4
Feliu, V.5
-
14
-
-
80053331227
-
An operational Haar wavelet method for solving fractional Volterra integral equations
-
H. Saeedi, N. Mollahasani, M. M. Moghadam, and G. Chuev, "An operational Haar wavelet method for solving fractional Volterra integral equations," International Journal of Applied Mathematics and Computer Science, vol. Vol. 21, no. no 3, pp. 535-547, 2011.
-
(2011)
International Journal of Applied Mathematics and Computer Science
, vol.21
, Issue.3
, pp. 535-547
-
-
Saeedi, H.1
Mollahasani, N.2
Moghadam, M.M.3
Chuev, G.4
-
15
-
-
33646729035
-
Fractional Kalman filter algorithm for states, parameters and order of fractional system estimation
-
D. Sierociuk and A. Dzieliński, "Fractional Kalman filter algorithm for states, parameters and order of fractional system estimation," International Journal of Applied Mathematics and Computer Science, vol. 16, no. 1, pp. 101-112, 2006.
-
(2006)
International Journal of Applied Mathematics and Computer Science
, vol.16
, Issue.1
, pp. 101-112
-
-
Sierociuk, D.1
Dzieliński, A.2
-
16
-
-
80054048702
-
Identification of open-loop stable linear systems using fractional orthonormal basis functions
-
R. Stanisławski, "Identification of open-loop stable linear systems using fractional orthonormal basis functions," in Proceedings of the 14th International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, 2009, pp. 935-985.
-
Proceedings of the 14th International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, 2009
, pp. 935-985
-
-
Stanisławski, R.1
-
17
-
-
78049484516
-
Modeling of open-loop stable linear systems using a combination of a finite fractional derivative and orthonormal basis functions
-
R. Stanisławski and K. J. Latawiec, "Modeling of open-loop stable linear systems using a combination of a finite fractional derivative and orthonormal basis functions," in Proceedings of the 15th International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, 2010, pp. 411-414.
-
Proceedings of the 15th International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, 2010
, pp. 411-414
-
-
Stanisławski, R.1
Latawiec, K.J.2
-
18
-
-
80054046882
-
Finite approximations of a discrete-time fractional derivative
-
-, "Finite approximations of a discrete-time fractional derivative," in 16th International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, 2011, pp. 142-145.
-
16th International Conference on Methods and Models in Automation and Robotics, Miedzyzdroje, Poland, 2011
, pp. 142-145
-
-
Stanisławski, R.1
Latawiec, K.J.2
-
20
-
-
0033881047
-
Computation of fractional derivatives using Fourier transform and digital FIR diferentiator
-
C. Tseng, S. Pei, and S. Hsia, "Computation of fractional derivatives using Fourier transform and digital FIR diferentiator," Signal Processing, vol. 80, pp. 151-159, 2000.
-
(2000)
Signal Processing
, vol.80
, pp. 151-159
-
-
Tseng, C.1
Pei, S.2
Hsia, S.3
-
21
-
-
0001611264
-
Some approximations of fractional order operators used in control theory and applications
-
B. Vinagre, I. Podlubny, A. Hernandez, and V. Feliu, "Some approximations of fractional order operators used in control theory and applications," Fractional Calculus & Applied Analysis, vol. 3, pp. 945-950, 2000.
-
(2000)
Fractional Calculus & Applied Analysis
, vol.3
, pp. 945-950
-
-
Vinagre, B.1
Podlubny, I.2
Hernandez, A.3
Feliu, V.4
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