-
1
-
-
0035538580
-
Spectral analysis of fractional kinetic equations with random data
-
Anh V.V., and Leonenko N.N. Spectral analysis of fractional kinetic equations with random data. J. Stat. Phys. 104 (2001) 349-1387
-
(2001)
J. Stat. Phys.
, vol.104
, pp. 349-1387
-
-
Anh, V.V.1
Leonenko, N.N.2
-
2
-
-
0036026997
-
Renormalization and homogenization of fractional diffusion equations with random data
-
Anh V.V., and Leonenko N.N. Renormalization and homogenization of fractional diffusion equations with random data. Probab. Theor. Relat. Field 12 (2002) 381-408
-
(2002)
Probab. Theor. Relat. Field
, vol.12
, pp. 381-408
-
-
Anh, V.V.1
Leonenko, N.N.2
-
3
-
-
0039302360
-
Multifractal characterisation of complete genomes
-
Anh V.V., Lau K.S., and Yu Z.G. Multifractal characterisation of complete genomes. J. Phys. A: Math. Gen. 34 (2001) 7127-7139
-
(2001)
J. Phys. A: Math. Gen.
, vol.34
, pp. 7127-7139
-
-
Anh, V.V.1
Lau, K.S.2
Yu, Z.G.3
-
5
-
-
34250095360
-
Uniqueness in law for pure jump type Markov processes
-
Bass R.F. Uniqueness in law for pure jump type Markov processes. Probab. Theor. Relat. Field 79 (1988) 271-287
-
(1988)
Probab. Theor. Relat. Field
, vol.79
, pp. 271-287
-
-
Bass, R.F.1
-
7
-
-
0034032484
-
Application of a fractional advection-dispersion equation
-
Benson D.A., Wheatcraft S.W., and Meerschaert M.M. Application of a fractional advection-dispersion equation. Water Resour. Res. 36 6 (2000) 1403-1412
-
(2000)
Water Resour. Res.
, vol.36
, Issue.6
, pp. 1403-1412
-
-
Benson, D.A.1
Wheatcraft, S.W.2
Meerschaert, M.M.3
-
12
-
-
0004185784
-
-
Cambridge University Press
-
Frisch U. Turbulence (1995), Cambridge University Press
-
(1995)
Turbulence
-
-
Frisch, U.1
-
13
-
-
0000361678
-
Random walk models for space fractional diffusion processes
-
Gorenflo R., and Mainardi F. Random walk models for space fractional diffusion processes. Fract. Calc. Appl. Anal. 1 (1998) 167-191
-
(1998)
Fract. Calc. Appl. Anal.
, vol.1
, pp. 167-191
-
-
Gorenflo, R.1
Mainardi, F.2
-
14
-
-
0027456173
-
A statistical analysis of mesoscale rainfall as a random cascade
-
Gupta V.K., and Waymire E.C. A statistical analysis of mesoscale rainfall as a random cascade. J. Appl. Meteorol. 32 (1993) 251-267
-
(1993)
J. Appl. Meteorol.
, vol.32
, pp. 251-267
-
-
Gupta, V.K.1
Waymire, E.C.2
-
16
-
-
64249135201
-
Numerical approximation of a fractional-in-space diffusion equation
-
Ilic M., Liu F., Turner I., and Anh V. Numerical approximation of a fractional-in-space diffusion equation. Fract. Calc. Appl. Anal. 8 3 (2005) 323-341
-
(2005)
Fract. Calc. Appl. Anal.
, vol.8
, Issue.3
, pp. 323-341
-
-
Ilic, M.1
Liu, F.2
Turner, I.3
Anh, V.4
-
17
-
-
64249104309
-
Numerical approximation of a fractional-in-space diffusion equation (II)-with nonhomogeneous boundary conditions
-
Ilic M., Liu F., Turner I., and Anh V. Numerical approximation of a fractional-in-space diffusion equation (II)-with nonhomogeneous boundary conditions. Fract. Calc. Appl. Anal. 9 4 (2006) 333-349
-
(2006)
Fract. Calc. Appl. Anal.
, vol.9
, Issue.4
, pp. 333-349
-
-
Ilic, M.1
Liu, F.2
Turner, I.3
Anh, V.4
-
18
-
-
51249166005
-
A class of Feller semigroups generated by pseudodifferential operators
-
Jacob N. A class of Feller semigroups generated by pseudodifferential operators. Math. Z. 215 (1994) 151-166
-
(1994)
Math. Z.
, vol.215
, pp. 151-166
-
-
Jacob, N.1
-
19
-
-
0013118687
-
Pseudodifferential operators with variable order of differentiation generating Feller semigroup
-
Jacob N., and Leopold H.G. Pseudodifferential operators with variable order of differentiation generating Feller semigroup. Integr. Eq. Oper. Theor. 17 (1993) 544-553
-
(1993)
Integr. Eq. Oper. Theor.
, vol.17
, pp. 544-553
-
-
Jacob, N.1
Leopold, H.G.2
-
20
-
-
0033443957
-
The multifractal nature of Lévy processes
-
Jaffard S. The multifractal nature of Lévy processes. Probab. Theor. Relat. Field 114 (1999) 207-227
-
(1999)
Probab. Theor. Relat. Field
, vol.114
, pp. 207-227
-
-
Jaffard, S.1
-
21
-
-
0003329153
-
Sur sertaines martingales de Benoit Mandelbrot
-
Kahane J.P., and Peyrière J. Sur sertaines martingales de Benoit Mandelbrot. Adv. Math. 22 (1976) 131-145
-
(1976)
Adv. Math.
, vol.22
, pp. 131-145
-
-
Kahane, J.P.1
Peyrière, J.2
-
22
-
-
0013161462
-
On Markov processes generated by pseudodifferentail operator of variable order
-
Kikuchi K., and Negoro A. On Markov processes generated by pseudodifferentail operator of variable order. Osaka J. Math. 34 (1997) 319-335
-
(1997)
Osaka J. Math.
, vol.34
, pp. 319-335
-
-
Kikuchi, K.1
Negoro, A.2
-
23
-
-
2442526767
-
On stable-like processes
-
Watanabe S., Fukushima M., Prohorov Y.V., and Shiryaev A.N. (Eds), World Scientific
-
Komatsu T. On stable-like processes. In: Watanabe S., Fukushima M., Prohorov Y.V., and Shiryaev A.N. (Eds). Proc. of the Seventh Japan-Russia Symposium in Probability Theory and Mathematical Statistics (1995), World Scientific 210-219
-
(1995)
Proc. of the Seventh Japan-Russia Symposium in Probability Theory and Mathematical Statistics
, pp. 210-219
-
-
Komatsu, T.1
-
24
-
-
77953132734
-
A finite volume simulation model for saturated-unsaturated flow and application to Gooburrum, Bundaberg, Queensland, Australia
-
Liu F., Anh V., Turner I., Bajracharya K., Huxley W., and Su N. A finite volume simulation model for saturated-unsaturated flow and application to Gooburrum, Bundaberg, Queensland, Australia. Appl. Math. Model. 29 (2005) 852-870
-
(2005)
Appl. Math. Model.
, vol.29
, pp. 852-870
-
-
Liu, F.1
Anh, V.2
Turner, I.3
Bajracharya, K.4
Huxley, W.5
Su, N.6
-
25
-
-
1542425102
-
Numerical solution of the space fractional Fokker-Planck equation
-
Liu F., Anh V., and Turner I. Numerical solution of the space fractional Fokker-Planck equation. J. Comput. Appl. Math. 166 (2004) 209-219
-
(2004)
J. Comput. Appl. Math.
, vol.166
, pp. 209-219
-
-
Liu, F.1
Anh, V.2
Turner, I.3
-
26
-
-
33751548431
-
Numerical simulation for solute transport in fractal porous media
-
Liu F., Anh V., Turner I., and Zhuang P. Numerical simulation for solute transport in fractal porous media. ANZIAM J. 45 (2004) 461-473
-
(2004)
ANZIAM J.
, vol.45
, pp. 461-473
-
-
Liu, F.1
Anh, V.2
Turner, I.3
Zhuang, P.4
-
27
-
-
34547673244
-
Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation
-
Liu F., Zhuang P., Anh V., Turner I., and Burrage K. Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation. Appl. Math. Comput. 191 (2007) 12-20
-
(2007)
Appl. Math. Comput.
, vol.191
, pp. 12-20
-
-
Liu, F.1
Zhuang, P.2
Anh, V.3
Turner, I.4
Burrage, K.5
-
28
-
-
33846798041
-
Approximation of the Levy-Feller advection-dispersion process by random walk and finite difference method
-
Liu Q., Liu F., Turner I., and Anh V. Approximation of the Levy-Feller advection-dispersion process by random walk and finite difference method. J. Phys. Comput. 222 (2007) 57-70
-
(2007)
J. Phys. Comput.
, vol.222
, pp. 57-70
-
-
Liu, Q.1
Liu, F.2
Turner, I.3
Anh, V.4
-
29
-
-
0001407424
-
The fundanental solution of the space-time fractional diffusion equation
-
Mainardi F., Luchko Yu., and Pagnini G. The fundanental solution of the space-time fractional diffusion equation. Fract. Calc. Appl. Anal. 4 2 (2001) 153-192
-
(2001)
Fract. Calc. Appl. Anal.
, vol.4
, Issue.2
, pp. 153-192
-
-
Mainardi, F.1
Luchko, Yu.2
Pagnini, G.3
-
30
-
-
0015969022
-
Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
-
Mandelbrot B. Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier. J. Fluid Mech. 62 (1974) 331-358
-
(1974)
J. Fluid Mech.
, vol.62
, pp. 331-358
-
-
Mandelbrot, B.1
-
32
-
-
4444368867
-
Finite difference approximations for fractional advection-dispersion flow equations
-
Meerschaert M., and Tadjeran C. Finite difference approximations for fractional advection-dispersion flow equations. J. Comput. Appl. Math. 172 (2004) 65-77
-
(2004)
J. Comput. Appl. Math.
, vol.172
, pp. 65-77
-
-
Meerschaert, M.1
Tadjeran, C.2
-
33
-
-
0002641421
-
The random walk's guide to anomalous diffusion: A fractional dynamic approach
-
R. Metzler, J. Krafter, The random walk's guide to anomalous diffusion: a fractional dynamic approach, Phys. Rep. 339 (2000) 1-72.
-
(2000)
Phys. Rep
, vol.339
, pp. 1-72
-
-
Metzler, R.1
Krafter, J.2
-
34
-
-
4043151477
-
The restaurant at the end of the random walk: recent development in the description of anomalous transport by fractional dynamics
-
Metzler R., and Krafter J. The restaurant at the end of the random walk: recent development in the description of anomalous transport by fractional dynamics. J. Phys. A: Math. Gen. 37 (2004) R161-R208
-
(2004)
J. Phys. A: Math. Gen.
, vol.37
-
-
Metzler, R.1
Krafter, J.2
-
40
-
-
0346517294
-
Multifractal processes
-
Doukhan P., Oppenheim, and Taqqu M. (Eds), Birkhauser
-
Riedi R.H. Multifractal processes. In: Doukhan P., Oppenheim, and Taqqu M. (Eds). Long Range Dependence: Theory and Applications (2003), Birkhauser 625-716
-
(2003)
Long Range Dependence: Theory and Applications
, pp. 625-716
-
-
Riedi, R.H.1
-
43
-
-
77953134866
-
-
Stoch. Anal. Appl, in press
-
M.D. Ruiz-Medina, V.V. Anh, J.M. Angulo, Multifractional Markov processes in heterogeneous domains, Stoch. Anal. Appl., 2010, in press.
-
Multifractional Markov processes in heterogeneous domains
, pp. 2010
-
-
Ruiz-Medina, M.D.1
Anh, V.V.2
Angulo, J.M.3
-
45
-
-
70549107817
-
Error analysis of an explicit finite difference approximation for the space fractional diffusion
-
Shen S., and Liu F. Error analysis of an explicit finite difference approximation for the space fractional diffusion. ANZIAM J. 46 (2005) 871-887
-
(2005)
ANZIAM J.
, vol.46
, pp. 871-887
-
-
Shen, S.1
Liu, F.2
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