-
5
-
-
34247394106
-
On systems of linear fractional differential equations with constant coefficients
-
DOI 10.1016/j.amc.2006.08.104, PII S0096300306011386
-
B. Bonilla, M. Rivero, and J.J. Trujillo On systems of linear fractional differential equations with constant coefficients Appl. Math. Comput. 187 2007 68 78 (Pubitemid 46635705)
-
(2007)
Applied Mathematics and Computation
, vol.187
, Issue.1 SPEC. ISS.
, pp. 68-78
-
-
Bonilla, B.1
Rivero, M.2
Trujillo, J.J.3
-
6
-
-
70449122559
-
General solution of the Bagley-Torvik equation with fractional-order derivative
-
Z.H. Wang, and X. Wang General solution of the Bagley-Torvik equation with fractional-order derivative Commun. Nonlinear Sci. Numer. Simul. 15 2010 1279 1285
-
(2010)
Commun. Nonlinear Sci. Numer. Simul.
, vol.15
, pp. 1279-1285
-
-
Wang, Z.H.1
Wang, X.2
-
8
-
-
77953148885
-
Stability of a linear oscillator with damping force of the fractional-order derivative
-
Z.H. Wang, and H.Y. Hu Stability of a linear oscillator with damping force of the fractional-order derivative Sci. China Phys. Mech. Astron. 53 2010 345 352
-
(2010)
Sci. China Phys. Mech. Astron.
, vol.53
, pp. 345-352
-
-
Wang, Z.H.1
Hu, H.Y.2
-
9
-
-
0012899160
-
Numerical solution of the Bagley-Torvik equation
-
K. Diethelm, and N.J. Ford Numerical solution of the Bagley-Torvik equation BIT 42 2002 490 507
-
(2002)
BIT
, vol.42
, pp. 490-507
-
-
Diethelm, K.1
Ford, N.J.2
-
10
-
-
0037113861
-
The numerical solution of linear multi-term fractional differential equations: Systems of equations
-
DOI 10.1016/S0377-0427(02)00558-7, PII S0377042702005587
-
J.T. Edwards, N.J. Ford, and A.C. Simpson The numerical solution of linear multi-term fractional differential equations: systems of equations J. Comput. Appl. Math. 148 2002 401 418 (Pubitemid 36409200)
-
(2002)
Journal of Computational and Applied Mathematics
, vol.148
, Issue.2
, pp. 401-418
-
-
Edwards, J.T.1
Ford, N.J.2
Simpson, C.A.3
-
11
-
-
84873098191
-
Numerical solution of the Bagley-Torvik equation by the Bessel collocation method
-
S. Yuzbasi Numerical solution of the Bagley-Torvik equation by the Bessel collocation method Math. Methods Appl. Sci. 36 2013 300 312
-
(2013)
Math. Methods Appl. Sci.
, vol.36
, pp. 300-312
-
-
Yuzbasi, S.1
-
12
-
-
84861212214
-
Stability-preserving high-order methods for multiterm fractional differential equations
-
R. Garrappa Stability-preserving high-order methods for multiterm fractional differential equations Internat. J. Bifur. Chaos 22 2012 13
-
(2012)
Internat. J. Bifur. Chaos
, vol.22
, pp. 13
-
-
Garrappa, R.1
-
13
-
-
33751534763
-
On multistep methods for differential equations of fractional order
-
DOI 10.1007/s00009-006-0097-3
-
L. Galeone, and R. Garrappa On multistep methods for differential equations of fractional order Mediterr. J. Math. 3 2006 565 580 (Pubitemid 44835846)
-
(2006)
Mediterranean Journal of Mathematics
, vol.3
, Issue.3-4
, pp. 565-580
-
-
Galeone, L.1
Garrappa, R.2
-
14
-
-
79960984884
-
The Grünwald-Letnikov method for fractional differential equations
-
R. Scherer, S.L. Kalla, Y. Tang, and J. Huang The Grünwald-Letnikov method for fractional differential equations Comput. Math. Appl. 62 2011 902 917
-
(2011)
Comput. Math. Appl.
, vol.62
, pp. 902-917
-
-
Scherer, R.1
Kalla, S.L.2
Tang, Y.3
Huang, J.4
-
15
-
-
0000717432
-
Discretized fractional calculus
-
Ch. Lubich Discretized fractional calculus SIAM J. Math. Anal. 17 1986 704 719
-
(1986)
SIAM J. Math. Anal.
, vol.17
, pp. 704-719
-
-
Lubich, Ch.1
-
16
-
-
0041938913
-
A stability analysis of convolution quadratures for Abel-Volterra integral equations
-
Ch. Lubich A stability analysis of convolution quadratures for Abel-Volterra integral equations IMA J. Numer. Anal. 6 1986 87 101
-
(1986)
IMA J. Numer. Anal.
, vol.6
, pp. 87-101
-
-
Lubich, Ch.1
-
17
-
-
79960975255
-
On Riemann and Caputo fractional differences
-
T. Abdeljawad On Riemann and Caputo fractional differences Comput. Math. Appl. 62 2011 1602 1611
-
(2011)
Comput. Math. Appl.
, vol.62
, pp. 1602-1611
-
-
Abdeljawad, T.1
-
19
-
-
85060035175
-
Overview of fractional h-difference operators
-
D. Mozyrska, and E. Girejko Overview of fractional h-difference operators Oper. Theory Adv. Appl. 229 2013 253 268
-
(2013)
Oper. Theory Adv. Appl.
, vol.229
, pp. 253-268
-
-
Mozyrska, D.1
Girejko, E.2
-
20
-
-
80052649257
-
Discrete Mittag-Leffler functions in linear fractional difference equations
-
J. Čermák, T. Kisela, and L. Nechvátal Discrete Mittag-Leffler functions in linear fractional difference equations Abstr. Appl. Anal. 2011 2011 1 21
-
(2011)
Abstr. Appl. Anal.
, vol.2011
, pp. 1-21
-
-
Čermák, J.1
Kisela, T.2
Nechvátal, L.3
-
25
-
-
77954349836
-
Stability of fractional-order systems with rational orders: A survey
-
I. Petráš Stability of fractional-order systems with rational orders: a survey Fract. Calc. Appl. Anal. 12 2009 269 298
-
(2009)
Fract. Calc. Appl. Anal.
, vol.12
, pp. 269-298
-
-
Petráš, I.1
-
27
-
-
0002731965
-
Stability results for fractional differential equations with applications to control processing
-
Lille, France
-
D. Matignon, Stability results for fractional differential equations with applications to control processing, in: Computational Engineering in Systems Applications, Lille, France, 1996, pp. 963-968.
-
(1996)
Computational Engineering in Systems Applications
, pp. 963-968
-
-
Matignon, D.1
-
28
-
-
46649104814
-
On exact convergence rates for solutions of linear systems of Volterra difference equations
-
J.A.D. Appleby, I. Györi, and D.W. Reynolds On exact convergence rates for solutions of linear systems of Volterra difference equations J. Difference Equ. Appl. 12 2006 1257 1275
-
(2006)
J. Difference Equ. Appl.
, vol.12
, pp. 1257-1275
-
-
Appleby, J.A.D.1
Györi, I.2
Reynolds, D.W.3
-
30
-
-
84874100688
-
Stability regions for linear fractional differential systems and their discretizations
-
J. Čermák, T. Kisela, and L. Nechvátal Stability regions for linear fractional differential systems and their discretizations Appl. Math. Comput. 219 2013 7012 7022
-
(2013)
Appl. Math. Comput.
, vol.219
, pp. 7012-7022
-
-
Čermák, J.1
Kisela, T.2
Nechvátal, L.3
-
33
-
-
64549112216
-
Explicit methods for fractional differential equations and their stability properties
-
L. Galeone, and R. Garrappa Explicit methods for fractional differential equations and their stability properties J. Comput. Appl. Math. 228 2009 548 560
-
(2009)
J. Comput. Appl. Math.
, vol.228
, pp. 548-560
-
-
Galeone, L.1
Garrappa, R.2
|