-
1
-
-
0036855685
-
Fractional kinetics
-
Sokolov I. M., Klafter J., Blumen A., Fractional kinetics. Physics Today 2002 55 11 48 54 2-s2.0-0036855685 (Pubitemid 35395232)
-
(2002)
Physics Today
, vol.55
, Issue.11
, pp. 48-54
-
-
Sokolov, I.M.1
Klafter, J.2
Blumen, A.3
-
3
-
-
0002641421
-
The random walk's guide to anomalous diffusion: A fractional dynamics approach
-
10.1016/S0370-1573(00)00070-3 MR1809268 ZBL0984.82032
-
Metzler R., Klafter J., The random walk's guide to anomalous diffusion: a fractional dynamics approach. Physics Reports 2000 339 1 77 10.1016/S0370-1573(00)00070-3 MR1809268 ZBL0984.82032
-
(2000)
Physics Reports
, vol.339
, Issue.1
, pp. 77
-
-
Metzler, R.1
Klafter, J.2
-
4
-
-
43949160695
-
Fractional model equation for anomalous diffusion
-
10.1016/0378-4371(94)90064-7
-
Metzler R., Glöke W. G., Nonnenmacher T. F., Fractional model equation for anomalous diffusion. Physica A 1994 211 1 13 24 10.1016/0378-4371(94)90064-7
-
(1994)
Physica A
, vol.211
, Issue.1
, pp. 13-24
-
-
Metzler, R.1
Glöke, W.G.2
Nonnenmacher, T.F.3
-
7
-
-
84984772459
-
Fractional differentiation by neocortical pyramidal neurons
-
2-s2.0-54949148669 10.1038/nn.2212
-
Lundstrom B. N., Higgs M. H., Spain W. J., Fairhall A. L., Fractional differentiation by neocortical pyramidal neurons. Nature Neuroscience 2008 11 11 1335 1342 2-s2.0-54949148669 10.1038/nn.2212
-
(2008)
Nature Neuroscience
, vol.11
, Issue.11
, pp. 1335-1342
-
-
Lundstrom, B.N.1
Higgs, M.H.2
Spain, W.J.3
Fairhall, A.L.4
-
8
-
-
84861764006
-
Nonlinear dynamics and chaos in fractional-order neural networks
-
10.1016/j.neunet.2012.02.030
-
Kaslik E., Sivasundaram S., Nonlinear dynamics and chaos in fractional-order neural networks. Neural Networks 2012 32 245 256 10.1016/j.neunet.2012.02.030
-
(2012)
Neural Networks
, vol.32
, pp. 245-256
-
-
Kaslik, E.1
Sivasundaram, S.2
-
9
-
-
33750295344
-
Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models
-
DOI 10.1016/j.jmaa.2006.01.087, PII S0022247X06000801
-
Ahmed E., El-Sayed A. M. A., El-Saka H. A. A., Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models. Journal of Mathematical Analysis and Applications 2007 325 1 542 553 10.1016/j.jmaa.2006.01.087 MR2273544 ZBL1105.65122 (Pubitemid 44615337)
-
(2007)
Journal of Mathematical Analysis and Applications
, vol.325
, Issue.1
, pp. 542-553
-
-
Ahmed, E.1
El-Sayed, A.M.A.2
El-Saka, H.A.A.3
-
11
-
-
85084386480
-
Modeling and simulation of equivalent circuits in description of biological systems - A fractional calculus approach
-
Gómez F., Bernal J., Rosales J., Cordova T., Modeling and simulation of equivalent circuits in description of biological systems-a fractional calculus approach. Journal of Electrical Bioimpedance 2012 3 2
-
(2012)
Journal of Electrical Bioimpedance
, vol.3
, pp. 2
-
-
Gómez, F.1
Bernal, J.2
Rosales, J.3
Cordova, T.4
-
12
-
-
65049084831
-
-
World Scientific Complexity, Nonlinearity and Chaos 10.1142/9789814355216 MR2894576
-
Baleanu D., Diethelm K., Scalas E., Trujillo J. J., Fractional Calculus Models and Numerical Methods 2012 3 World Scientific Complexity, Nonlinearity and Chaos 10.1142/9789814355216 MR2894576
-
(2012)
Fractional Calculus Models and Numerical Methods
, vol.3
-
-
Baleanu, D.1
Diethelm, K.2
Scalas, E.3
Trujillo, J.J.4
-
13
-
-
84868210932
-
Transient chaos in fractional Bloch equations
-
10.1016/j.camwa.2012.01.069
-
Bhalekar S., Daftardar-Gejji V., Baleanu D., Magin R., Transient chaos in fractional Bloch equations. Computers & Mathematics with Applications 2012 64 10 3367 3376 10.1016/j.camwa.2012.01.069
-
(2012)
Computers & Mathematics with Applications
, vol.64
, Issue.10
, pp. 3367-3376
-
-
Bhalekar, S.1
Daftardar-Gejji, V.2
Baleanu, D.3
Magin, R.4
-
14
-
-
0041384356
-
Chaotic dynamics of the fractional Lorenz system
-
034101 2-s2.0-0041384356
-
Grigorenko I., Grigorenko E., Chaotic dynamics of the fractional Lorenz system. Physical Review Letters 2003 91 3 4 034101 2-s2.0-0041384356
-
(2003)
Physical Review Letters
, vol.91
, Issue.3
, pp. 4
-
-
Grigorenko, I.1
Grigorenko, E.2
-
15
-
-
2042470796
-
Chaos in the fractional order Chen system and its control
-
2-s2.0-2042470796 10.1016/j.chaos.2004.02.035
-
Li C., Chen G., Chaos in the fractional order Chen system and its control. Chaos, Solitons and Fractals 2004 22 3 549 554 2-s2.0-2042470796 10.1016/j.chaos.2004.02.035
-
(2004)
Chaos, Solitons and Fractals
, vol.22
, Issue.3
, pp. 549-554
-
-
Li, C.1
Chen, G.2
-
16
-
-
84875445275
-
Stability and stabilizing of fractional complex Lorenz Systems
-
127103 10.1155/2013/127103
-
Ibrahim R. W., Stability and stabilizing of fractional complex Lorenz Systems. Abstract and Applied Analysis 2013 2013 13 127103 10.1155/2013/127103
-
(2013)
Abstract and Applied Analysis
, vol.2013
, pp. 13
-
-
Ibrahim, R.W.1
-
17
-
-
35348886158
-
Chaos in the Newton-Leipnik system with fractional order
-
DOI 10.1016/j.chaos.2006.06.013, PII S096007790600587X
-
Sheu L.-J., Chen H.-K., Chen J.-H., Tam L.-M., Chen W.-C., Lin K.-T., Kang Y., Chaos in the Newton-Leipnik system with fractional order. Chaos, Solitons & Fractals 2008 36 1 98 103 10.1016/j.chaos.2006.06.013 MR2372049 ZBL1152.37319 (Pubitemid 47576640)
-
(2008)
Chaos, Solitons and Fractals
, vol.36
, Issue.1
, pp. 98-103
-
-
Sheu, L.-J.1
Chen, H.-K.2
Chen, J.-H.3
Tam, L.-M.4
Chen, W.-C.5
Lin, K.-T.6
Kang, Y.7
-
18
-
-
67651225426
-
Nonlinear dynamics and chaos in a fractional-order HIV model
-
378614 10.1155/2009/378614 MR2530065 ZBL1181.37124
-
Ye H., Ding Y., Nonlinear dynamics and chaos in a fractional-order HIV model. Mathematical Problems in Engineering 2009 2009 12 378614 10.1155/2009/378614 MR2530065 ZBL1181.37124
-
(2009)
Mathematical Problems in Engineering
, vol.2009
, pp. 12
-
-
Ye, H.1
Ding, Y.2
-
19
-
-
31744447506
-
Hamiltonian formalism of fractional systems
-
DOI 10.1140/epjb/e2006-00023-3
-
Stanislavsky A. A., Hamiltonian formalism of fractional systems. The European Physical Journal B 2006 49 1 93 101 10.1140/epjb/e2006-00023-3 MR2223470 (Pubitemid 43177215)
-
(2006)
European Physical Journal B
, vol.49
, Issue.1
, pp. 93-101
-
-
Stanislavsky, A.A.1
-
20
-
-
0000145521
-
On Mittag-Leffler-type functions in fractional evolution processes
-
10.1016/S0377-0427(00)00294-6 MR1765955 ZBL0970.45005
-
Mainardi F., Gorenflo R., On Mittag-Leffler-type functions in fractional evolution processes. Journal of Computational and Applied Mathematics 2000 118 1-2 283 299 10.1016/S0377-0427(00)00294-6 MR1765955 ZBL0970.45005
-
(2000)
Journal of Computational and Applied Mathematics
, vol.118
, Issue.1-2
, pp. 283-299
-
-
Mainardi, F.1
Gorenflo, R.2
-
22
-
-
0004315248
-
-
New York, NY, USA Springer 10.1007/978-0-387-21746-8 MR1988873
-
West B. J., Bologna M., Grigolini P., Physics of Fractal Operators 2003 New York, NY, USA Springer 10.1007/978-0-387-21746-8 MR1988873
-
(2003)
Physics of Fractal Operators
-
-
West, B.J.1
Bologna, M.2
Grigolini, P.3
-
23
-
-
0036642719
-
From stretched exponential to inverse power-law: Fractional dynamics, Cole-Cole relaxation processes, and beyond
-
DOI 10.1016/S0022-3093(02)01124-9, PII S0022309302011249
-
Metzler R., Klafter J., From stretched exponential to inverse power-law: fractional dynamics, Cole-Cole relaxation processes, and beyond. Journal of Non-Crystalline Solids 2002 305 1-3 81 87 2-s2.0-0036642719 10.1016/S0022- 3093(02)01124-9 (Pubitemid 34552117)
-
(2002)
Journal of Non-Crystalline Solids
, vol.305
, Issue.1-3
, pp. 81-87
-
-
Metzler, R.1
Klafter, J.2
-
25
-
-
80053136630
-
The fractional Poisson process and the inverse stable subordinator
-
10.1214/EJP.v16-920 MR2835248 ZBL1245.60084
-
Meerschaert M. M., Nane E., Vellaisamy P., The fractional Poisson process and the inverse stable subordinator. Electronic Journal of Probability 2011 16 1600 1620 10.1214/EJP.v16-920 MR2835248 ZBL1245.60084
-
(2011)
Electronic Journal of Probability
, vol.16
, pp. 1600-1620
-
-
Meerschaert, M.M.1
Nane, E.2
Vellaisamy, P.3
-
27
-
-
84870712480
-
Cooperation in neural systems: Bridging complexity and periodicity
-
051918 10.1103/PhysRevE.86.051918
-
Zare M., Grigolini P., Cooperation in neural systems: bridging complexity and periodicity. Physical Review E 2012 86 6 051918 10.1103/PhysRevE.86.051918
-
(2012)
Physical Review e
, vol.86
, pp. 6
-
-
Zare, M.1
Grigolini, P.2
-
28
-
-
33750026674
-
Scale-invariant motion in intermittent chaotic systems
-
2-s2.0-33750026674 10.1103/PhysRevE.47.851
-
Zumofen G., Klafter J., Scale-invariant motion in intermittent chaotic systems. Physical Review E 1993 47 2 851 863 2-s2.0-33750026674 10.1103/PhysRevE.47.851
-
(1993)
Physical Review e
, vol.47
, Issue.2
, pp. 851-863
-
-
Zumofen, G.1
Klafter, J.2
-
29
-
-
42749102625
-
Random growth of interfaces as a subordinated process
-
010101 10.1103/PhysRevE.70.010101
-
Failla R., Grigolini P., Ignaccolo M., Schwettmann A., Random growth of interfaces as a subordinated process. Physical Reviews E 2004 70 4 010101 10.1103/PhysRevE.70.010101
-
(2004)
Physical Reviews e
, vol.70
, pp. 4
-
-
Failla, R.1
Grigolini, P.2
Ignaccolo, M.3
Schwettmann, A.4
-
30
-
-
0001134242
-
Weak ergodicity breaking and aging in disordered systems
-
10.1051/jp1:1992238
-
Bouchaud J. P., Weak ergodicity breaking and aging in disordered systems. Journal De Physique I 1992 2 9 1705 1713 10.1051/jp1:1992238
-
(1992)
Journal de Physique i
, vol.2
, Issue.9
, pp. 1705-1713
-
-
Bouchaud, J.P.1
-
31
-
-
84868254061
-
Strange kinetics of single molecules in living cells
-
10.1063/PT.3.1677
-
Barkai E., Garini Y., Metzler R., Strange kinetics of single molecules in living cells. Physics Today 2012 65 8 29 10.1063/PT.3.1677
-
(2012)
Physics Today
, vol.65
, Issue.8
, pp. 29
-
-
Barkai, E.1
Garini, Y.2
Metzler, R.3
-
32
-
-
84866296479
-
Criticality in large-scale brain fMRI dynamics unveiled by a novel point process analysis
-
10.3389/fphys.2012.00015
-
Tagliazucchi E., Balenzuela P., Fraiman D., Chialvo D. R., Criticality in large-scale brain fMRI dynamics unveiled by a novel point process analysis. Frontiers in Physiology 2012 3, article 15 10.3389/fphys.2012.00015
-
(2012)
Frontiers in Physiology
, vol.315
-
-
Tagliazucchi, E.1
Balenzuela, P.2
Fraiman, D.3
Chialvo, D.R.4
-
33
-
-
79961084051
-
Temporal complexity of the order parameter at the phase transition
-
061142 10.1103/PhysRevE.83.061142
-
Turalska M., West B. J., Grigolini P., Temporal complexity of the order parameter at the phase transition. Physical Reviews E 2011 83 6 061142 10.1103/PhysRevE.83.061142
-
(2011)
Physical Reviews e
, vol.83
, pp. 6
-
-
Turalska, M.1
West, B.J.2
Grigolini, P.3
-
34
-
-
0002567920
-
Random walks on lattices. II
-
MR0172344 10.1063/1.1704269
-
Montroll E. W., Weiss G. H., Random walks on lattices. II. Journal of Mathematical Physics 1965 6 167 181 MR0172344 10.1063/1.1704269
-
(1965)
Journal of Mathematical Physics
, vol.6
, pp. 167-181
-
-
Montroll, E.W.1
Weiss, G.H.2
-
35
-
-
0040307478
-
Anomalous diffusion in disordered media: Statistical mechanisms, models and physical applications
-
10.1016/0370-1573(90)90099-N MR1081295
-
Bouchaud J.-P., Georges A., Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications. Physics Reports 1990 195 4-5 127 293 10.1016/0370-1573(90)90099-N MR1081295
-
(1990)
Physics Reports
, vol.195
, Issue.4-5
, pp. 127-293
-
-
Bouchaud, J.-P.1
Georges, A.2
-
36
-
-
0000874039
-
Lévy flights in random environments
-
10.1103/PhysRevLett.73.2517
-
Fogedby H. C., Lévy flights in random environments. Physical Review Letters 1994 73 2517 2520 10.1103/PhysRevLett.73.2517
-
(1994)
Physical Review Letters
, vol.73
, pp. 2517-2520
-
-
Fogedby, H.C.1
-
39
-
-
0038057475
-
Fractional dynamics from the ordinary Langevin equation
-
021111 10.1103/PhysRevE.67.021111 MR1974618
-
Stanislavsky A. A., Fractional dynamics from the ordinary Langevin equation. Physical Review E 2003 67 2 6 021111 10.1103/PhysRevE.67.021111 MR1974618
-
(2003)
Physical Review e
, vol.67
, Issue.2
, pp. 6
-
-
Stanislavsky, A.A.1
|