-
1
-
-
0021439912
-
On the appearance of the fractional derivative in the behavior of real materials
-
Torvik P. J., Bagley R. L., On the appearance of the fractional derivative in the behavior of real materials Journal of Applied Mechanics, Transactions of ASME 1984 51 2 294 298 (Pubitemid 14583152)
-
(1984)
Journal of Applied Mechanics, Transactions ASME
, vol.51
, Issue.2
, pp. 294-298
-
-
Torvik, P.J.1
Bagley, R.L.2
-
2
-
-
0020751558
-
Fractional calculusa different approach to the analysis of viscoelastically damped structures
-
Bagley R. L., Torvik P. J., Fractional calculusa different approach to the analysis of viscoelastically damped structures AIAA Journal 1983 21 5 741 748
-
(1983)
AIAA Journal
, vol.21
, Issue.5
, pp. 741-748
-
-
Bagley, R.L.1
Torvik, P.J.2
-
3
-
-
36249022993
-
-
San Diego, Calif, USA Academic Press Mathematics in Science and Engineering
-
Podlubny I., Fractional Differential Equations 1999 198 San Diego, Calif, USA Academic Press xxiv+340 Mathematics in Science and Engineering
-
(1999)
Fractional Differential Equations
, vol.198
, pp. 340
-
-
Podlubny, I.1
-
4
-
-
25644439033
-
Analytical solution of the Bagley Torvik equation by Adomian decomposition method
-
DOI 10.1016/j.amc.2004.09.006, PII S0096300304006125
-
Ray S. S., Bera R. K., Analytical solution of the Bagley Torvik equation by Adomian decomposition method Applied Mathematics and Computation 2005 168 1 398 410 (Pubitemid 41383669)
-
(2005)
Applied Mathematics and Computation
, vol.168
, Issue.1
, pp. 398-410
-
-
Ray, S.S.1
Bera, R.K.2
-
5
-
-
0036648507
-
A suggestion of fractional-order controller for flexible spacecraft attitude control
-
DOI 10.1023/A:1016566017098, Fractional Order Calculus and Its Applications
-
Manabe S., A suggestion of fractional-order controller for flexible spacecraft attitude control Nonlinear Dynamics 2002 29 14 251 268 (Pubitemid 34950126)
-
(2002)
Nonlinear Dynamics
, vol.29
, Issue.1-4
, pp. 251-268
-
-
Manabe, S.1
-
6
-
-
77953577603
-
Solution of extraordinary differential equations with physical reasoning by obtaining modal reaction series
-
Das S., Solution of extraordinary differential equations with physical reasoning by obtaining modal reaction series Modelling and Simulation in Engineering 2010 2010 19
-
(2010)
Modelling and Simulation in Engineering
, vol.2010
, pp. 19
-
-
Das, S.1
-
7
-
-
67650110018
-
A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
-
Agarwal R. P., Belmekki M., Benchohra M., A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative Advances in Difference Equations 2009 2009 47
-
(2009)
Advances in Difference Equations
, vol.2009
, pp. 47
-
-
Agarwal, R.P.1
Belmekki, M.2
Benchohra, M.3
-
8
-
-
33746588701
-
The transversal creeping vibrations of a fractional derivative order constitutive relation of nonhomogeneous beam
-
(Stevanovi) Hedrih K., The transversal creeping vibrations of a fractional derivative order constitutive relation of nonhomogeneous beam Mathematical Problems in Engineering 2006 2006 18
-
(2006)
Mathematical Problems in Engineering
, vol.2006
, pp. 18
-
-
Hedrih, K.1
-
9
-
-
68949187509
-
The existence of positive solution to three-point singular boundary value problem of fractional differential equation
-
Tian Y., Chen A., The existence of positive solution to three-point singular boundary value problem of fractional differential equation Abstract and Applied Analysis 2009 2009 18
-
(2009)
Abstract and Applied Analysis
, vol.2009
, pp. 18
-
-
Tian, Y.1
Chen, A.2
-
10
-
-
70349280469
-
A modified least mean square algorithm using fractional derivative and its application to system identification
-
Zahoor R. M. A., Qureshi I. M., A modified least mean square algorithm using fractional derivative and its application to system identification European Journal of Scientific Research 2009 35 1 14 21
-
(2009)
European Journal of Scientific Research
, vol.35
, Issue.1
, pp. 14-21
-
-
Zahoor, R.M.A.1
Qureshi, I.M.2
-
12
-
-
39849097024
-
Analytical solution of the linear fractional differential equation by Adomian decomposition method
-
DOI 10.1016/j.cam.2007.04.005, PII S0377042707001987
-
Hu Y., Luo Y., Lu Z., Analytical solution of the linear fractional differential equation by Adomian decomposition method Journal of Computational and Applied Mathematics 2008 215 1 220 229 (Pubitemid 351318114)
-
(2008)
Journal of Computational and Applied Mathematics
, vol.215
, Issue.1
, pp. 220-229
-
-
Hu, Y.1
Luo, Y.2
Lu, Z.3
-
13
-
-
77953168484
-
Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations
-
El-Sayed A. M. A., El-Kalla I. L., Ziada E. A. A., Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations Applied Numerical Mathematics 2010 60 8 788 797
-
(2010)
Applied Numerical Mathematics
, vol.60
, Issue.8
, pp. 788-797
-
-
El-Sayed, A.M.A.1
El-Kalla, I.L.2
Ziada, E.A.A.3
-
14
-
-
54549122514
-
Application of He's variational iteration method to solve semidifferential equations of n th order
-
Ghorbani A., Alavi A., Application of He's variational iteration method to solve semidifferential equations of n th order Mathematical Problems in Engineering 2008 2008 9
-
(2008)
Mathematical Problems in Engineering
, vol.2008
, pp. 9
-
-
Ghorbani, A.1
Alavi, A.2
-
16
-
-
0012899160
-
Numerical solution of the Bagley-Torvik equation
-
Diethelm K., Ford N. J., Numerical solution of the Bagley-Torvik equation BIT. Numerical Mathematics 2002 42 3 490 507
-
(2002)
BIT. Numerical Mathematics
, vol.42
, Issue.3
, pp. 490-507
-
-
Diethelm, K.1
Ford, N.J.2
-
18
-
-
77951533559
-
Efficient feedforward linearization technique using genetic algorithms for OFDM systems
-
Garca P., Mingo J. D., Carro P. L., Valdovinos A., Efficient feedforward linearization technique using genetic algorithms for OFDM systems Eurasip Journal on Advances in Signal Processing 2010 2010 10
-
(2010)
Eurasip Journal on Advances in Signal Processing
, vol.2010
, pp. 10
-
-
Garca, P.1
Mingo, J.D.2
Carro, P.L.3
Valdovinos, A.4
-
19
-
-
0345506717
-
-
Boston, Mass, USA Kluwer Academic Publishers Operations Research/Computer Science Interfaces Series
-
Reeves C. R., Rowe J. E., Genetic Algorithms: Principles and Perspectives 2003 20 Boston, Mass, USA Kluwer Academic Publishers xii+332 Operations Research/Computer Science Interfaces Series
-
(2003)
Genetic Algorithms: Principles and Perspectives
, vol.20
, pp. 332
-
-
Reeves, C.R.1
Rowe, J.E.2
-
22
-
-
33847309315
-
-
Amsterdam, The Netherlands Elsevier Science North-Holland Mathematics Studies
-
Anatoly A. K., Srivastava H. M., Trujillo J. J., Theory and Applications of Fractional Differential Equations 2006 204 Amsterdam, The Netherlands Elsevier Science xvi+523 North-Holland Mathematics Studies
-
(2006)
Theory and Applications of Fractional Differential Equations
, vol.204
, pp. 523
-
-
Anatoly, A.K.1
Srivastava, H.M.2
Trujillo, J.J.3
-
24
-
-
79954467269
-
Evolutionary computation technique for solving Riccati differential equation of arbitrary order
-
Zahoor R. M. A., Khan J. A., Qureshi I. M., Evolutionary computation technique for solving Riccati differential equation of arbitrary order World Academy of Science, Engineering and Technology 2009 58 531 536
-
(2009)
World Academy of Science, Engineering and Technology
, vol.58
, pp. 531-536
-
-
Zahoor, R.M.A.1
Khan, J.A.2
Qureshi, I.M.3
-
25
-
-
77957008342
-
Evolutionary computational intelligence in solving the fractional differential equations
-
Raja M. A. Z., Khan J. A., Qureshi I. M., Evolutionary computational intelligence in solving the fractional differential equations 5990 Proceedings of the Asian Conference on Intelligent Information and Database Systems (ACIIDS '10) 2010 Hue City, Vietnam Spinger 231 240 Lecture Notes in Computer Science
-
Proceedings of the Asian Conference on Intelligent Information and Database Systems (ACIIDS '10) 2010 Hue City, Vietnam Spinger Lecture Notes in Computer Science
, vol.5990
, pp. 231-240
-
-
Raja, M.A.Z.1
Khan, J.A.2
Qureshi, I.M.3
-
26
-
-
77955968140
-
Heuristic computational approach using swarm intelligence in solving fractional differential equations
-
Zahoor M. A., Raja, Khan J. A., Qureshi I. M., Heuristic computational approach using swarm intelligence in solving fractional differential equations Proceedings of the 12th Annual Genetic and Evolutionary Computation Conference (GECCO '10) 2010 Portland, Oregon 2023 2026
-
Proceedings of the 12th Annual Genetic and Evolutionary Computation Conference (GECCO '10) 2010 Portland, Oregon
, pp. 2023-2026
-
-
Zahoor, M.A.1
Raja2
Khan, J.A.3
Qureshi, I.M.4
-
27
-
-
0031540855
-
On the convergence of pattern search algorithms
-
Torczon V., On the convergence of pattern search algorithms SIAM Journal on Optimization 1997 7 1 1 25
-
(1997)
SIAM Journal on Optimization
, vol.7
, Issue.1
, pp. 1-25
-
-
Torczon, V.1
-
29
-
-
2442576133
-
On the local convergence of pattern search
-
DOI 10.1137/S1052623400374495
-
Dolan E. D., Lewis R. M., Torczon V., On the local convergence of pattern search SIAM Journal on Optimization 2003 14 2 567 583 (Pubitemid 38614151)
-
(2004)
SIAM Journal on Optimization
, vol.14
, Issue.2
, pp. 567-583
-
-
Dolan, E.D.1
Lewis, R.M.2
Torczon, V.3
-
30
-
-
70549108846
-
Bayesian guided pattern search for robust local optimization
-
Taddy M. A., Lee H. K. H., Gray G. A., Griffin J. D., Bayesian guided pattern search for robust local optimization Technometrics 2009 51 4 389 401
-
(2009)
Technometrics
, vol.51
, Issue.4
, pp. 389-401
-
-
Taddy, M.A.1
Lee, H.K.H.2
Gray, G.A.3
Griffin, J.D.4
-
32
-
-
34548299472
-
Hybrid evolutionary algorithms: Methodologies, architectures, and reviews
-
Berlin, Germany Springer
-
Grosan C., Abraham A., Hybrid evolutionary algorithms: methodologies, architectures, and reviews Studies in Computational Intelligence 2007 75 Berlin, Germany Springer
-
(2007)
Studies in Computational Intelligence
, vol.75
-
-
Grosan, C.1
Abraham, A.2
-
33
-
-
33644585616
-
Numerical solution of semidifferential equations by collocation method
-
Rawashdeh E. A., Numerical solution of semidifferential equations by collocation method Applied Mathematics and Computation 2006 174 2 869 876
-
(2006)
Applied Mathematics and Computation
, vol.174
, Issue.2
, pp. 869-876
-
-
Rawashdeh, E.A.1
-
34
-
-
77953693762
-
Matrix approach to discretization of ODEs and PDEs of arbitrary real order
-
Podlubny I., Matrix approach to discretization of ODEs and PDEs of arbitrary real order Matlab Central file exchange 2008 22071
-
(2008)
Matlab Central File Exchange
, Issue.220
-
-
Podlubny, I.1
-
35
-
-
78049345257
-
Mittag-leffler function
-
Podlubny I., Mittag-Leffler Function 2009 8738 Matlab Central. http://www.mathworks.com/matlabcentral/fileexchange/8738-mittag-leffler-function
-
(2009)
Matlab Central
, Issue.8738
-
-
Podlubny, I.1
-
36
-
-
79959278444
-
Swarm intelligence optimized neural networks for solving fractional differential equations
-
Raja M. A. Z., Khan J. A., Qureshi I. M., Swarm intelligence optimized neural networks for solving fractional differential equations International Journal of Innovative Computing, Information and Control 2011 7 2
-
(2011)
International Journal of Innovative Computing, Information and Control
, vol.7
, Issue.2
-
-
Raja, M.A.Z.1
Khan, J.A.2
Qureshi, I.M.3
|