-
1
-
-
79960975255
-
On riemann and caputo fractional differences
-
Abdeljawad, T. (2011), On Riemann and Caputo Fractional Differences, Computers and Mathematics With Applications, 13 (3), 1602-1611.
-
(2011)
Computers and Mathematics with Applications
, vol.13
, Issue.3
, pp. 1602-1611
-
-
Abdeljawad, T.1
-
2
-
-
79960258288
-
Fractional differences and integration by parts
-
Abdeljawad, T., and, Baleanu, D. (2011), Fractional Differences and Integration by Parts, Journal of Computational Analysis and Applications, 13 (3), 574-582.
-
(2011)
Journal of Computational Analysis and Applications
, vol.13
, Issue.3
, pp. 574-582
-
-
Abdeljawad, T.1
Baleanu, D.2
-
3
-
-
77950548183
-
A transform method in discrete fractional calculus
-
Atici, F.M., and, Eloe, P.W. (2007), A Transform Method in Discrete Fractional Calculus, International Journal of Difference Equations, 2, 165-176.
-
(2007)
International Journal of Difference Equations
, vol.2
, pp. 165-176
-
-
Atici, F.M.1
Eloe, P.W.2
-
4
-
-
74149083825
-
Initial value problems in discrete fractional calculus
-
(08)09626-3
-
Atici, F.M., and, Eloe, P.W. (2008), Initial Value Problems in Discrete Fractional Calculus, in Proceedings of the American Mathematical Society, pp. S0002-9939(08)09626-3.
-
(2008)
Proceedings of the American Mathematical Society
, pp. S0002-9939
-
-
Atici, F.M.1
Eloe, P.W.2
-
5
-
-
85085399420
-
Discrete fractional calculus with the nabla operator
-
Atici, F.M., and, Eloe, P.W. (2009), Discrete Fractional Calculus With the Nabla Operator, Electronic Journal of Qualitative Theory of Differential Equations (Spec. Ed. I), 3, 1-12.
-
(2009)
Electronic Journal of Qualitative Theory of Differential Equations (Spec. Ed. I)
, vol.3
, pp. 1-12
-
-
Atici, F.M.1
Eloe, P.W.2
-
6
-
-
79953286192
-
Two-point boundary value problems for finite fractional difference equations
-
Atici, F.M., and, Eloe, P.W. (2011), Two-Point Boundary Value Problems for Finite Fractional Difference Equations, Journal of Difference Equation Applications, 17, 445-456.
-
(2011)
Journal of Difference Equation Applications
, vol.17
, pp. 445-456
-
-
Atici, F.M.1
Eloe, P.W.2
-
7
-
-
78651241495
-
Necessary optimality conditions for fractional difference problems of the calculus of variations
-
Bastos, N.R.O., Ferreira, R.A.C., and, Torres, D.F.M. (2011), Necessary Optimality Conditions for Fractional Difference Problems of the Calculus of Variations, Discrete and Continuous Dynamical Systems, 29 (2), 417-437.
-
(2011)
Discrete and Continuous Dynamical Systems
, vol.29
, Issue.2
, pp. 417-437
-
-
Bastos, N.R.O.1
Ferreira, R.A.C.2
Torres, D.F.M.3
-
8
-
-
79953318713
-
Fractional derivatives and integrals on time scales via the inverse generalized laplace transform
-
Bastos, N.R.O., Mozyrska, D., and, Torres, D.F.M. (2011), Fractional Derivatives and Integrals on Time Scales via the Inverse Generalized Laplace Transform, International Journal of Mathematics and Computer, 11, 1-9.
-
(2011)
International Journal of Mathematics and Computer
, vol.11
, pp. 1-9
-
-
Bastos, N.R.O.1
Mozyrska, D.2
Torres, D.F.M.3
-
9
-
-
79961111422
-
A note on the controllability and the observability of fractional dynamical systems
-
Bettayeb, M., and, Djennoune, S. (2006), A Note on the Controllability and the Observability of Fractional Dynamical Systems, in Proceedings of the 2nd IFAC Workshop on Fractional Differential and Workshop Applications, pp. 493-498.
-
(2006)
Proceedings of the 2nd IFAC Workshop on Fractional Differential and Workshop Applications
, pp. 493-498
-
-
Bettayeb, M.1
Djennoune, S.2
-
10
-
-
45849121358
-
Controllability and observability of linear discrete-time fractional-order systems
-
Bettayeb, M., and, Djennoune, S. (2008), Controllability and Observability of Linear Discrete-time Fractional-Order Systems, International Journal of Mathematics and Computer Science, 18 (2), 213-222.
-
(2008)
International Journal of Mathematics and Computer Science
, vol.18
, Issue.2
, pp. 213-222
-
-
Bettayeb, M.1
Djennoune, S.2
-
11
-
-
0003749497
-
-
Boston, MA: Birkhäuser
-
Bohner, M., and, Peterson, A. (2001), Dynamic Equations on Time Scales, Boston, MA: Birkhäuser.
-
(2001)
Dynamic Equations on Time Scales
-
-
Bohner, M.1
Peterson, A.2
-
12
-
-
79951632060
-
Robust stability of positive discrete-time linear systems of fractional order
-
Busłowicz, M. (2010), Robust Stability of Positive Discrete-Time Linear Systems of Fractional Order, Bulletin of the Polish Academy of Sciences, Technical Sciences, 58 (4), 567-572.
-
(2010)
Bulletin of the Polish Academy of Sciences, Technical Sciences
, vol.58
, Issue.4
, pp. 567-572
-
-
Busłowicz, M.1
-
13
-
-
79952236374
-
Existence results for nonlinear fractional difference equation
-
Chen, F., Luo, X., and, Zhou, Y. (2011), Existence Results for Nonlinear Fractional Difference Equation, Advances in Difference Eq., doi: 10.1155/2011/713201 (article ID 713201), 12 p.
-
(2011)
Advances in Difference Eq
, pp. 12
-
-
Chen, F.1
Luo, X.2
Zhou, Y.3
-
14
-
-
79953329384
-
Fractional h-difference equations arising from the calculus of variations
-
Ferreira, R.A.C., and, Torres, D.F.M. (2011), Fractional h-Difference Equations Arising From the Calculus of Variations, Applicable Analysis on Discrete Mathematics, 5 (1), 110-121.
-
(2011)
Applicable Analysis on Discrete Mathematics
, vol.5
, Issue.1
, pp. 110-121
-
-
Ferreira, R.A.C.1
Torres, D.F.M.2
-
15
-
-
77953136599
-
Continuity of solutions to discrete fractional initial value problems
-
Goodrich, C.S. (2010a), Continuity of Solutions to Discrete Fractional Initial Value Problems, Computers & Mathematics With Applications, 59, 3489-3499.
-
(2010)
Computers & Mathematics with Applications
, vol.59
, pp. 3489-3499
-
-
Goodrich, C.S.1
-
16
-
-
78650178926
-
Solutions to a discrete right-focal fractional initial value problems
-
Goodrich, C.S. (2010b), Solutions to a Discrete Right-Focal Fractional Initial Value Problems, International Journal of Difference Equations, 5, 195-216.
-
(2010)
International Journal of Difference Equations
, vol.5
, pp. 195-216
-
-
Goodrich, C.S.1
-
17
-
-
78651230726
-
Existence and uniqueness of solutions to a fractional difference equations with nonlocal conditions
-
Goodrich, C.S. (2011a), Existence and Uniqueness of Solutions to a Fractional Difference Equations With Nonlocal Conditions, Computers & Mathematics With Applications, 61, 191-202.
-
(2011)
Computers & Mathematics with Applications
, vol.61
, pp. 191-202
-
-
Goodrich, C.S.1
-
18
-
-
78650170131
-
Existence of a positive solution to a system of discrete fractional boundary value problems
-
Goodrich, C.S. (2011b), Existence of a Positive Solution to a System of Discrete Fractional Boundary Value Problems, Applied Mathematics and Computation, 217 (9), 4740-4753.
-
(2011)
Applied Mathematics and Computation
, vol.217
, Issue.9
, pp. 4740-4753
-
-
Goodrich, C.S.1
-
20
-
-
43649083020
-
Reachability and controllability to zero of positive fractional discrete-time systems
-
Kaczorek, T. (2007), Reachability and Controllability to Zero of Positive Fractional Discrete-time Systems, Machine Intelligence and Robotic Control, 6 (4), 139-143.
-
(2007)
Machine Intelligence and Robotic Control
, vol.6
, Issue.4
, pp. 139-143
-
-
Kaczorek, T.1
-
21
-
-
79751522366
-
Positive linear systems with different fractional orders
-
Kaczorek, T. (2010), Positive Linear Systems With Different Fractional Orders, Bulletin of the Polish Academy of Sciences, Technical Sciences, 58 (3), 453-458.
-
(2010)
Bulletin of the Polish Academy of Sciences, Technical Sciences
, vol.58
, Issue.3
, pp. 453-458
-
-
Kaczorek, T.1
-
22
-
-
84936764522
-
On the general theory of control systems
-
Kalman, R. (1959), On the General Theory of Control Systems, in Automatic Control, IRE Transactions on, Vol.4(3), pp. 110. doi: 10.1109/TAC.1959.1104873.
-
(1959)
Automatic Control, IRE Transactions on
, vol.4
, Issue.3
, pp. 110
-
-
Kalman, R.1
-
24
-
-
80053035452
-
Controllability and minimum energy control problem of fractional discrete-time systems
-
eds. D. Baleanu, Z.B. Güvenç J.A. Tenreiro Machado, Netherlands: Springer
-
Klamka, J. (2010), Controllability and Minimum Energy Control Problem of Fractional Discrete-time Systems, in New Trends in Nanotechnology and Fractional Calculus Applications, eds. D. Baleanu, Z.B. Güvenç, J.A. Tenreiro Machado, Netherlands: Springer, pp. 503-509.
-
(2010)
New Trends in Nanotechnology and Fractional Calculus Applications
, pp. 503-509
-
-
Klamka, J.1
-
25
-
-
77949837723
-
Fractional difference calculus
-
Ko¯riyama, Japan: Nihon University
-
Miller, K.S., and, Ross, B. (1988), Fractional Difference Calculus, in Proceedings of the International Symposium on Univalent Functions, Fractional Calculus and Their Applications, Ko¯riyama, Japan: Nihon University, pp. 139-152.
-
(1988)
Proceedings of the International Symposium on Univalent Functions, Fractional Calculus and Their Applications
, pp. 139-152
-
-
Miller, K.S.1
Ross, B.2
-
26
-
-
85060035175
-
Overview of the fractional h-difference operators
-
Basel: Springer Basel
-
Mozyrska, D., and, Girejko, E. (2013), Overview of the Fractional h-Difference Operators, in Advances in Harmonic Analysis and Operator Theory-The Stefan Samko Anniversary Volume, Operator Theory: Advances and Applications (Vol. 229), Basel: Springer Basel, pp. 253-298.
-
(2013)
Advances in Harmonic Analysis and Operator Theory-The Stefan Samko Anniversary Volume, Operator Theory: Advances and Applications
, vol.229
, pp. 253-298
-
-
Mozyrska, D.1
Girejko, E.2
-
27
-
-
84856364923
-
Linear q-difference fractional order control systems with finite memory
-
Mozyrska, D., and, Pawluszewicz, E. (2011), Linear q-Difference Fractional Order Control Systems With Finite Memory, Acta Mechanica et Automatica, 5 (2), 69-73.
-
(2011)
Acta Mechanica et Automatica
, vol.5
, Issue.2
, pp. 69-73
-
-
Mozyrska, D.1
Pawluszewicz, E.2
-
28
-
-
84864226295
-
Controllability of h-difference linear control systems with two fractional orders, Carpathian Control Conference (ICCC)
-
28-31 May 2012
-
Mozyrska, D., and, Pawluszewicz, E. (2012a), Controllability of h-Difference Linear Control Systems With Two Fractional Orders, in Carpathian Control Conference (ICCC), 2012 13th International, IEE Conference Proceedings, 28-31 May 2012, pp. 501-506. doi: 10.1109/CarpathianCC.2012.6228695.
-
(2012)
2012 13th International, IEE Conference Proceedings
, pp. 501-506
-
-
Mozyrska, D.1
Pawluszewicz, E.2
-
29
-
-
84856321153
-
Fractional discrete-time linear control systems with initialisation
-
Mozyrska, D., and, Pawluszewicz, E. (2012b), Fractional Discrete-time Linear Control Systems With Initialisation, International Journal of Control, 85 (2), 213-219.
-
(2012)
International Journal of Control
, vol.85
, Issue.2
, pp. 213-219
-
-
Mozyrska, D.1
Pawluszewicz, E.2
-
30
-
-
84882428788
-
Local controllability of nonlinear discrete-time fractional order systems
-
Mozyrska, D., and, Pawluszewicz, E. (in press), Local Controllability of Nonlinear Discrete-Time Fractional Order Systems, Bulletin of the Polish Academy of Sciences. Technical Sciences., 61 (1).
-
Bulletin of the Polish Academy of Sciences. Technical Sciences
, vol.61
, Issue.1
-
-
Mozyrska, D.1
Pawluszewicz, E.2
-
31
-
-
0030696426
-
Fractional discrete-time linear systems
-
Munich, Germany, New York: IEEE
-
Ortigueira, M.D. (1997), Fractional Discrete-Time Linear Systems, in Proceedings of the IEE-ICASSP 97, Munich, Germany, New York: IEEE, 3, 2241-2244.
-
(1997)
Proceedings of the IEE-ICASSP
, vol.97
, pp. 2241-2244
-
-
Ortigueira, M.D.1
-
32
-
-
84867457303
-
Observability of nonlinear control systems on time scales
-
Pawluszewicz, E. (2012), Observability of Nonlinear Control Systems on Time Scales, International Journal of Systems Science, 43 (2), 2268-2274.
-
(2012)
International Journal of Systems Science
, vol.43
, Issue.2
, pp. 2268-2274
-
-
Pawluszewicz, E.1
-
34
-
-
33646729035
-
Fractional kalman filter algorithm for the states parameters and order of fractional system estimation
-
Sierociuk, D., and, Dzieliński, D. (2006), Fractional Kalman Filter Algorithm for the States Parameters and Order of Fractional System Estimation, International Journal of Applied Mathematics and Computer Science, 16 (1), 129-140.
-
(2006)
International Journal of Applied Mathematics and Computer Science
, vol.16
, Issue.1
, pp. 129-140
-
-
Sierociuk, D.1
Dzieliński, D.2
|