-
1
-
-
0031421089
-
A non-Fickian, particle-tracking diffusion model based on fractional Brownian motion
-
Paul S. Addison, Bo Qu, Alistair Nisbet, and Gareth Pender, A non-Fickian, particle-tracking diffusion model based on fractional Brownian motion, Internat. J. Numer. Methods Fluids 25 (1997), no. 12, 1373-1384, DOI 10.1002/(SICI)1097-0363(19971230)25:12:1373::AID-FLD6203.3.CO;2-Y.
-
(1997)
Internat. J. Numer. Methods Fluids
, vol.25
, Issue.12
, pp. 1373-1384
-
-
Addison, P.S.1
Qu, B.2
Nisbet, A.3
Pender, G.4
-
2
-
-
78649525393
-
Turbulence and diffusion, scaling versus equations
-
Springer-Verlag, Berlin
-
Oleg G. Bakunin, Turbulence and diffusion, scaling versus equations, Springer Series in Synergetics, Springer-Verlag, Berlin, 2008.
-
(2008)
Springer Series in Synergetics
-
-
Bakunin, O.G.1
-
3
-
-
0034032484
-
Application of a fractional advectiondispersion equation
-
D. A. Benson, S. W. Wheatcraft, and M. M. Meerschaert, Application of a fractional advectiondispersion equation, Water Resources Research Vol. 36, No. 6 (2000), 1403-1412.
-
(2000)
Water Resources Research
, vol.36
, Issue.6
, pp. 1403-1412
-
-
Benson, D.A.1
Wheatcraft, S.W.2
Meerschaert, M.M.3
-
4
-
-
0141457364
-
Censored stable processes
-
Krzysztof Bogdan, Krzysztof Burdzy, and Zhen-Qing Chen, Censored stable processes, Probab. Theory Related Fields 127 (2003), no. 1, 89-152, DOI 10.1007/s00440-003-0275-1.
-
(2003)
Probab. Theory Related Fields
, vol.127
, Issue.1
, pp. 89-152
-
-
Bogdan, K.1
Burdzy, K.2
Chen, Z.-Q.3
-
5
-
-
0034238730
-
Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions
-
M. Bologna, C. Tsallis, P. Grigolini, Anomalous diffusion associated with nonlinear fractional derivative Fokker-Planck-like equation: Exact time-dependent solutions, Phys. Review E 62 (2) (2000), 2213.
-
(2000)
Phys. Review E
, vol.62
, Issue.2
, pp. 2213
-
-
Bologna, M.1
Tsallis, C.2
Grigolini, P.3
-
6
-
-
0003460124
-
-
Cambridge University Press, Cambridge, From statistical physics to risk management; With a foreword by Nick Dunbar
-
Jean-Philippe Bouchaud and Marc Potters, Theory of financial risks, Cambridge University Press, Cambridge, 2000. From statistical physics to risk management; With a foreword by Nick Dunbar.
-
(2000)
Theory of financial risks
-
-
Bouchaud, J.-P.1
Potters, M.2
-
9
-
-
84873378514
-
Fractional diffusion models of transport in magnetically confined plasmas
-
Plasma Physics Conference. Tarragona Spain
-
D. Del-Castillo-Negrete, Fractional diffusion models of transport in magnetically confined plasmas. Proceedings of the 32nd European Physical Society, Plasma Physics Conference. Tarragona Spain (2005).
-
(2005)
Proceedings of the 32nd European Physical Society
-
-
Del-Castillo-Negrete, D.1
-
10
-
-
33748295799
-
Fractional diffusion models of nonlocal transport
-
D. del-Castillo-Negrete, Fractional diffusion models of nonlocal transport, Phys. Plasmas 13 (2006), no. 8, 082308, 16, DOI 10.1063/1.2336114.
-
(2006)
Phys. Plasmas
, vol.13
, Issue.8
, pp. 16
-
-
del-Castillo-Negrete, D.1
-
12
-
-
0003532178
-
Measure theory and fine properties of functions
-
CRC Press, Boca Raton, FL
-
Lawrence C. Evans and Ronald F. Gariepy, Measure theory and fine properties of functions, Studies in Advanced Mathematics, CRC Press, Boca Raton, FL, 1992.
-
(1992)
Studies in Advanced Mathematics
-
-
Evans, L.C.1
Gariepy, R.F.2
-
14
-
-
31944440639
-
Nonextensive statistics in viscous fingering
-
P. Grosfils, and J. B. Boon, Nonextensive statistics in viscous fingering, Phys. A 362 (1) (2006) 168.
-
(2006)
Phys. A
, vol.362
, Issue.1
, pp. 168
-
-
Grosfils, P.1
Boon, J.B.2
-
15
-
-
0001655260
-
Some properties of fractional integrals. I
-
G. H. Hardy and J. E. Littlewood, Some properties of fractional integrals. I, Math. Z. 27 (1928), no. 1, 565-606, DOI 10.1007/BF01171116.
-
(1928)
Math. Z.
, vol.27
, Issue.1
, pp. 565-606
-
-
Hardy, G.H.1
Littlewood, J.E.2
-
16
-
-
0003427295
-
-
World Scientific Publishing Co. Inc., River Edge, NJ, Edited by R. Hilfer
-
Applications of fractional calculus in physics, World Scientific Publishing Co. Inc., River Edge, NJ, 2000. Edited by R. Hilfer.
-
(2000)
Applications of fractional calculus in physics
-
-
-
17
-
-
0003540679
-
Abel integral equations, analysis and applications
-
Springer-Verlag, Berlin
-
Rudolf Gorenflo and Sergio Vessella, Abel integral equations, analysis and applications, Lecture Notes in Mathematics, vol. 1461, Springer-Verlag, Berlin, 1991.
-
(1991)
Lecture Notes in Mathematics
, vol.1461
-
-
Gorenflo, R.1
Vessella, S.2
-
18
-
-
77956684069
-
Theory and applications of fractional differential equations
-
Elsevier Science B.V., Amsterdam
-
Anatoly A. Kilbas, Hari M. Srivastava, and Juan J. Trujillo, Theory and applications of fractional differential equations, North-Holland Mathematics Studies, vol. 204, Elsevier Science B.V., Amsterdam, 2006.
-
(2006)
North-Holland Mathematics Studies
, vol.204
-
-
Kilbas, A.A.1
Srivastava, H.M.2
Trujillo, J.J.3
-
19
-
-
3543060258
-
The Cauchy problem for evolution equations of fractional order (Russian)
-
1468; English transl., Differential Equations 25 (1989), no. 8, 967-974 (1990).
-
A. N. Kochubeĭ, The Cauchy problem for evolution equations of fractional order (Russian), Differentsial'nye Uravneniya 25 (1989), no. 8, 1359-1368, 1468; English transl., Differential Equations 25 (1989), no. 8, 967-974 (1990).
-
(1989)
Differentsial'nye Uravneniya
, vol.25
, Issue.8
, pp. 1359-1368
-
-
Kochubeĭ, A.N.1
-
20
-
-
0003643984
-
-
Springer-Verlag, New York, Translated from the Russian by A. P. Doohovskoy; Die Grundlehren der mathematischen Wissenschaften, Band 180.
-
N. S. Landkof, Foundations of modern potential theory, Springer-Verlag, New York, 1972. Translated from the Russian by A. P. Doohovskoy; Die Grundlehren der mathematischen Wissenschaften, Band 180.
-
(1972)
Foundations of modern potential theory
-
-
Landkof, N.S.1
-
21
-
-
56549085438
-
Maximum principle for the generalized time-fractional diffusion equation
-
Yury Luchko, Maximum principle for the generalized time-fractional diffusion equation, J. Math. Anal. Appl. 351 (2009), no. 1, 218-223, DOI 10.1016/j.jmaa.2008.10.018.
-
(2009)
J. Math. Anal. Appl.
, vol.351
, Issue.1
, pp. 218-223
-
-
Luchko, Y.1
-
22
-
-
76449091249
-
Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
-
Yury Luchko, Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation, Comput. Math. Appl. 59 (2010), no. 5, 1766-1772, DOI 10.1016/j.camwa.2009.08.015.
-
(2010)
Comput. Math. Appl.
, vol.59
, Issue.5
, pp. 1766-1772
-
-
Luchko, Y.1
-
23
-
-
84861201332
-
Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
-
Yuri Luchko, Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation, Fract. Calc. Appl. Anal. 15 (2012), no. 1, 141-160, DOI 10.2478/s13540-012-0010-7.
-
(2012)
Fract. Calc. Appl. Anal.
, vol.15
, Issue.1
, pp. 141-160
-
-
Luchko, Y.1
-
25
-
-
0002641421
-
The random walk's guide to anomalous diffusion: a fractional dynamics approach
-
Ralf Metzler and Joseph Klafter, The random walk's guide to anomalous diffusion: a fractional dynamics approach, Phys. Rep. 339 (2000), no. 1, 77, DOI 10.1016/S0370-1573(00)00070-3.
-
(2000)
Phys. Rep
, vol.339
, Issue.1
, pp. 77
-
-
Metzler, R.1
Klafter, J.2
-
26
-
-
0842337110
-
A singular integral equation with a generalized Mittag Leffler function in the kernel
-
Tilak Raj Prabhakar, A singular integral equation with a generalized Mittag Leffler function in the kernel, Yokohama Math. J. 19 (1971), 7-15.
-
(1971)
Yokohama Math. J.
, vol.19
, pp. 7-15
-
-
Prabhakar, T.R.1
-
27
-
-
0003598080
-
-
Gordon and Breach Science Publishers, Yverdon, Edited and with a foreword by S. M. Nikol'skiĭ{dotless}; Translated from the 1987 Russian original; Revised by the authors
-
Stefan G. Samko, Anatoly A. Kilbas, and Oleg I. Marichev, Fractional integrals and derivatives, theory and applications, Gordon and Breach Science Publishers, Yverdon, 1993. Edited and with a foreword by S. M. Nikol'skiĭ{dotless}; Translated from the 1987 Russian original; Revised by the authors.
-
(1993)
Fractional integrals and derivatives, theory and applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
28
-
-
0004211013
-
An introduction to the theory of large deviations
-
Springer-Verlag, New York
-
D. W. Stroock, An introduction to the theory of large deviations, Universitext, Springer-Verlag, New York, 1984.
-
(1984)
Universitext
-
-
Stroock, D.W.1
-
29
-
-
35548973459
-
Fractional theory for transport in disordered semiconductors
-
Vladimir V. Uchaikin and Renat T. Sibatov, Fractional theory for transport in disordered semiconductors, Commun. Nonlinear Sci. Numer. Simul. 13 (2008), no. 4, 715-727, DOI 10.1016/j.cnsns.2006.07.008.
-
(2008)
Commun. Nonlinear Sci. Numer. Simul.
, vol.13
, Issue.4
, pp. 715-727
-
-
Uchaikin, V.V.1
Sibatov, R.T.2
-
30
-
-
46549093732
-
Hardy-Littlewood theory for semigroups
-
N. Th. Varopoulos, Hardy-Littlewood theory for semigroups, J. Funct. Anal. 63 (1985), no. 2, 240-260, DOI 10.1016/0022-1236(85)90087-4.
-
(1985)
J. Funct. Anal.
, vol.63
, Issue.2
, pp. 240-260
-
-
Varopoulos, N.T.1
-
31
-
-
0035825224
-
An ant in a gurge
-
Bruce J. West and Theo Nonnenmacher, An ant in a gurge, Phys. Lett. A 278 (2001), no. 5, 255-259, DOI 10.1016/S0375-9601(00)00781-7.
-
(2001)
Phys. Lett. A
, vol.278
, Issue.5
, pp. 255-259
-
-
West, B.J.1
Nonnenmacher, T.2
-
32
-
-
0036887936
-
Chaos, fractional kinetics, and anomalous transport
-
G. M. Zaslavsky, Chaos, fractional kinetics, and anomalous transport, Phys. Rep. 371 (2002), no. 6, 461-580, DOI 10.1016/S0370-1573(02)00331-9.
-
(2002)
Phys. Rep.
, vol.371
, Issue.6
, pp. 461-580
-
-
Zaslavsky, G.M.1
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