-
1
-
-
0000993220
-
Anomalous diffusion in one dimension
-
V. Balakrishnan, Anomalous diffusion in one dimension, Physica A 132 (1985), 569-580.
-
(1985)
Physica A
, vol.132
, pp. 569-580
-
-
Balakrishnan, V.1
-
2
-
-
0033742723
-
Fractional Kramers equation
-
E. Barkai and R.J. Silbey, Fractional Kramers equation, J. Phys. Chem. B 104 (2000), 3866-3874.
-
(2000)
J. Phys. Chem. B
, vol.104
, pp. 3866-3874
-
-
Barkai, E.1
Silbey, R.J.2
-
3
-
-
33750488103
-
On Hilfer's objection to the fractional time diffusion equation
-
E. Barkai and I.M. Sokolov, On Hilfer's objection to the fractional time diffusion equation, Physica A 373 (2007), 231-236.
-
(2007)
Physica A
, vol.373
, pp. 231-236
-
-
Barkai, E.1
Sokolov, I.M.2
-
4
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent
-
M. Caputo, Linear models of dissipation whose Q is almost frequency independent, Part II. Geophys. J. R. Astr. Soc. 13 (1967), 529-539.
-
(1967)
Part II. Geophys. J. R. Astr. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
5
-
-
0003954624
-
Elasticità e Dissipazione
-
Bologna, Zanichelli
-
M. Caputo, Elasticità e Dissipazione. Bologna, Zanichelli (1969).
-
(1969)
-
-
Caputo, M.1
-
7
-
-
0004291893
-
Renewal Theory
-
2nd edn., Methuen, London
-
D.R. Cox, Renewal Theory, 2nd edn., Methuen, London (1967).
-
(1967)
-
-
Cox, D.R.1
-
8
-
-
0003767059
-
Integral Transforms and Representations of Functions in the Complex Plane
-
Moscow, Nauka, In Russian. [Note that there is also the transliteration as Djrbashyan]
-
M.M. Dzherbashyan, Integral Transforms and Representations of Functions in the Complex Plane, Moscow, Nauka (1966). In Russian. [Note that there is also the transliteration as Djrbashyan]
-
(1966)
-
-
Dzherbashyan, M.M.1
-
9
-
-
0003031851
-
Fractional derivatives and the Cauchy problem for differential equations of fractional order
-
In Russian
-
M.M. Dzherbashyan and A.D. Nersesian, Fractional derivatives and the Cauchy problem for differential equations of fractional order. Izv. Acad. Nauk Armjanskvy SSR, Matematika 3 (1968), 3-29. In Russian.
-
(1968)
Izv. Acad. Nauk Armjanskvy SSR, Matematika
, vol.3
, pp. 3-29
-
-
Dzherbashyan, M.M.1
Nersesian, A.D.2
-
10
-
-
0003864328
-
Higher Transcendental Functions
-
McGraw-Hill, New York
-
A. Erdélyi, W. Magnus, F. Oberhettinger, and F.G. Tricomi, Higher Transcendental Functions, Vol. 3, McGraw-Hill, New York (1953-1954).
-
(1953)
, vol.3
-
-
Erdélyi, A.1
Magnus, W.2
Oberhettinger, F.3
Tricomi, F.G.4
-
11
-
-
0002087137
-
On a generalization of Marcel Riesz' potentials and the semi-groups generated by them, Meddelanden Lunds Universitets Matematiska Seminarium
-
Comm. Sém. Mathém. Université de Lund
-
W. Feller, On a generalization of Marcel Riesz' potentials and the semi-groups generated by them, Meddelanden Lunds Universitets Matematiska Seminarium (Comm. Sém. Mathém. Université de Lund). Tome suppl. dédié a M. Riesz, Lund, 1952, pp. 73-81.
-
(1952)
Tome suppl. dédié a M. Riesz, Lund
, pp. 73-81
-
-
Feller, W.1
-
12
-
-
0003421261
-
An Introduction to Probability Theory and its Applications
-
2nd edn., Wiley, New York, 1st edn. 1966
-
W. Feller, An Introduction to Probability Theory and its Applications, Vol. 2, 2nd edn., Wiley, New York (1971). [1st edn. 1966]
-
(1971)
, vol.2
-
-
Feller, W.1
-
13
-
-
0003625475
-
Generalized Functions
-
Academic Press,New York and London
-
I.M. Gelfand and G.E. Shilov, Generalized Functions, Vol. I. Academic Press,New York and London (1964).
-
(1964)
, vol.I
-
-
Gelfand, I.M.1
Shilov, G.E.2
-
14
-
-
0003513648
-
Limit Distributions for Sums of Independent Random Variables
-
Addison-Wesley, Cambridge, MA, Translated from the Russian edition, Moscow 1949, with notes by K.L. Chung, revised 1968
-
B.V. Gnedenko and A.N. Kolmogorov, Limit Distributions for Sums of Independent Random Variables, Addison-Wesley, Cambridge, MA (1954). [Translated from the Russian edition, Moscow 1949, with notes by K.L. Chung, revised 1968]
-
(1954)
-
-
Gnedenko, B.V.1
Kolmogorov, A.N.2
-
15
-
-
0010219143
-
Introduction to Queueing Theory
-
Israel Program for Scientific Translations, Jerusalem
-
B.V. Gnedenko and I.N. Kovalenko, Introduction to Queueing Theory, Israel Program for Scientific Translations, Jerusalem (1968).
-
(1968)
-
-
Gnedenko, B.V.1
Kovalenko, I.N.2
-
16
-
-
32544454465
-
From power laws to fractional diffusion: the direct way
-
R. Gorenflo and E. Abdel-Rehim, From power laws to fractional diffusion: the direct way, Vietnam J. Math. 32 SI (2004), 65-75.
-
(2004)
Vietnam J. Math.
, vol.32
, Issue.SI
, pp. 65-75
-
-
Gorenflo, R.1
Abdel-Rehim, E.2
-
17
-
-
0000009397
-
Analytical properties and applications of the Wright function
-
E-print arXiv:math-ph/0701069
-
R. Gorenflo, Yu. Luchko, and F. Mainardi, Analytical properties and applications of the Wright function, Fractional Calculus Appl. Anal. 2 (1999), 383-414. [E-print arXiv:math-ph/0701069]
-
(1999)
Fractional Calculus Appl. Anal.
, vol.2
, pp. 383-414
-
-
Gorenflo, R.1
Luchko, Y.2
Mainardi, F.3
-
18
-
-
0000103589
-
Wright functions as scale-invariant solutions of the diffusion-wave equation
-
R. Gorenflo, Yu. Luchko, and F. Mainardi, Wright functions as scale-invariant solutions of the diffusion-wave equation, J. Comput. Appl. Math. 118 (2000), 175-191.
-
(2000)
J. Comput. Appl. Math.
, vol.118
, pp. 175-191
-
-
Gorenflo, R.1
Luchko, Y.2
Mainardi, F.3
-
19
-
-
0002847893
-
Fractional calculus: integral and differential equations of fractional order
-
A. Carpinteri and F. Mainardi (Editors), Springer, Wien and New York
-
R. Gorenflo and F. Mainardi, Fractional calculus: integral and differential equations of fractional order. In A. Carpinteri and F. Mainardi (Editors), Fractals and Fractional Calculus in Continuum Mechanics, Springer, Wien and New York (1997), pp. 223-276. [http://www.fracalmo.org]
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 223-276
-
-
Gorenflo, R.1
Mainardi, F.2
-
20
-
-
0000361678
-
Random walk models for space fractional diffusion processes
-
R. Gorenflo and F. Mainardi, Random walk models for space fractional diffusion processes, Fractional Calculus Appl. Anal. 1 (1998), 167-191.
-
(1998)
Fractional Calculus Appl. Anal.
, vol.1
, pp. 167-191
-
-
Gorenflo, R.1
Mainardi, F.2
-
21
-
-
0141974618
-
Fractional diffusion processes: probability distributions and continuous time random walk
-
G. Rangarajan and M. Ding (Editors), Springer, Berlin, Lecture Notes in Physics, No. 621
-
R. Gorenflo and F. Mainardi, Fractional diffusion processes: probability distributions and continuous time random walk, in: G. Rangarajan and M. Ding (Editors), Processes with Long Range Correlations, Springer, Berlin (2003), pp. 148-166. [Lecture Notes in Physics, No. 621]
-
(2003)
Processes with Long Range Correlations
, pp. 148-166
-
-
Gorenflo, R.1
Mainardi, F.2
-
22
-
-
33646113530
-
Simply and multiply scaled diffusion limits for continuous time random wal
-
S. Benkadda, X. Leoncini, and G. Zaslavsky (Editors) (France) 20-25 June 2004, IOP (Institute of Physics) Journal of Physics: Conference Series
-
R. Gorenflo and F. Mainardi, Simply and multiply scaled diffusion limits for continuous time random wal, in: S. Benkadda, X. Leoncini, and G. Zaslavsky (Editors), Proceedings of the International Workshop on Chaotic Transport and Complexity in Fluids and Plasmas Carry Le Rouet (France) 20-25 June 2004, IOP (Institute of Physics) Journal of Physics: Conference Series 7 (2005), 1-16.
-
(2005)
Proceedings of the International Workshop on Chaotic Transport and Complexity in Fluids and Plasmas Carry Le Rouet
, vol.7
, pp. 1-16
-
-
Gorenflo, R.1
Mainardi, F.2
-
23
-
-
0002898176
-
Fractional calculus and continuous-time finance III: the diffusion limit
-
M. Kohlmann and S. Tang (Editors), Birkhäuser, Basel
-
R. Gorenflo, F. Mainardi, E. Scalas, and M. Raberto, Fractional calculus and continuous-time finance III: the diffusion limit, in: M. Kohlmann and S. Tang (Editors), Mathematical Finance, Birkhäuser, Basel (2001), pp. 171-180.
-
(2001)
Mathematical Finance
, pp. 171-180
-
-
Gorenflo, R.1
Mainardi, F.2
Scalas, E.3
Raberto, M.4
-
24
-
-
0012793682
-
Special functions in fractional relaxation-oscillation and fractional diffusion-wave phenomena
-
D. Bainov (Editor), Plovdiv 1997 VSP, Utrecht
-
R. Gorenflo, F. Mainardi, and H.M. Srivastava, Special functions in fractional relaxation-oscillation and fractional diffusion-wave phenomena, in: D. Bainov (Editor), Proceedings VIII International Colloquium on Differential Equations, Plovdiv 1997 VSP, Utrecht, 1998, pp. 195-202.
-
(1998)
Proceedings VIII International Colloquium on Differential Equations
, pp. 195-202
-
-
Gorenflo, R.1
Mainardi, F.2
Srivastava, H.M.3
-
25
-
-
34047155650
-
Continuous time random walk and parametric subordination in fractional diffusion
-
E-print arXiv:cond-mat/0701126
-
R. Gorenflo, F. Mainardi, and A. Vivoli, Continuous time random walk and parametric subordination in fractional diffusion, Chaos, Solitons and Fractals 34 (2007), 87-103. [E-print arXiv:cond-mat/0701126]
-
(2007)
Chaos, Solitons and Fractals
, vol.34
, pp. 87-103
-
-
Gorenflo, R.1
Mainardi, F.2
Vivoli, A.3
-
26
-
-
15544368331
-
Discrete and continuous random walk models for space-time fractional diffusion
-
R. Gorenflo, A. Vivoli, and F. Mainardi, Discrete and continuous random walk models for space-time fractional diffusion, Nonlinear Dynamics 38 (2004), 101-116.
-
(2004)
Nonlinear Dynamics
, vol.38
, pp. 101-116
-
-
Gorenflo, R.1
Vivoli, A.2
Mainardi, F.3
-
27
-
-
0000254982
-
Exact solutions for a class of fractal time random walks
-
R. Hilfer, Exact solutions for a class of fractal time random walks, Fractals 3 (1995), 211-216.
-
(1995)
Fractals
, vol.3
, pp. 211-216
-
-
Hilfer, R.1
-
28
-
-
0141955949
-
On fractional diffusion and continuous time random walks
-
R. Hilfer, On fractional diffusion and continuous time random walks, Physica A 329 (2003), 35-39.
-
(2003)
Physica A
, vol.329
, pp. 35-39
-
-
Hilfer, R.1
-
29
-
-
0000437484
-
Fractional master equations and fractal time random walks
-
R. Hilfer and L. Anton, Fractional master equations and fractal time random walks, Phys. Rev. E 51 (1995), R848-R851.
-
(1995)
Phys. Rev. E
, vol.51
-
-
Hilfer, R.1
Anton, L.2
-
30
-
-
0037166166
-
Renewal processes and the Hurst effect
-
T. Huillet, Renewal processes and the Hurst effect, J. Phys. A 35 (2002), 4395-4413.
-
(2002)
J. Phys. A
, vol.35
, pp. 4395-4413
-
-
Huillet, T.1
-
31
-
-
0036344199
-
On the waiting time paradox and related topics
-
T. Huillet, On the waiting time paradox and related topics, Fractals 10 (2002), 1-20.
-
(2002)
Fractals
, vol.10
, pp. 1-20
-
-
Huillet, T.1
-
32
-
-
0003654359
-
Generalized Fractional Calculus and Applications
-
Harlow, Longman, Pitman Research Notes in Mathematics
-
V. Kiryakova, Generalized Fractional Calculus and Applications. Harlow, Longman (1994). [Pitman Research Notes in Mathematics, Vol. 301]
-
(1994)
, vol.301
-
-
Kiryakova, V.1
-
33
-
-
0007045475
-
A Cauchy problem for evolution equations of fractional order
-
English translation from the Russian Journal Differentsial'nye Uravneniya
-
A.N. Kochubei, A Cauchy problem for evolution equations of fractional order, Diff. Equ. 25 (1989), 967-974. [English translation from the Russian Journal Differentsial'nye Uravneniya]
-
(1989)
Diff. Equ.
, vol.25
, pp. 967-974
-
-
Kochubei, A.N.1
-
34
-
-
0000332009
-
Fractional order diffusion
-
English translation from the Russian Journal Differentsial'nye Uravneniya
-
A.N. Kochubei, Fractional order diffusion, Diff. Equ. 26 (1990), 485-492. [English translation from the Russian Journal Differentsial'nye Uravneniya]
-
(1990)
Diff. Equ.
, vol.26
, pp. 485-492
-
-
Kochubei, A.N.1
-
35
-
-
21844503941
-
Asymptotic distributions of continuous-time random walks: a probabilistic approach
-
M. Kotulski, Asymptotic distributions of continuous-time random walks: a probabilistic approach, J. Stat. Phys. 81 (1995), 777-792.
-
(1995)
J. Stat. Phys.
, vol.81
, pp. 777-792
-
-
Kotulski, M.1
-
37
-
-
0030464353
-
Fractional relaxationoscillation and fractional diffusion-wave phenomena. Chaos
-
F. Mainardi, Fractional relaxationoscillation and fractional diffusion-wave phenomena. Chaos, Solitons and Fractals 7 (1996), 1461-1477.
-
(1996)
Solitons and Fractals
, vol.7
, pp. 1461-1477
-
-
Mainardi, F.1
-
38
-
-
0001983732
-
Fractional calculus: some basic problems in continuum and statistical mechanics
-
A. Carpinteri and F. Mainardi (Editors), Springer, Wien and New York
-
F. Mainardi, Fractional calculus: some basic problems in continuum and statistical mechanics, in A. Carpinteri and F. Mainardi (Editors), Fractals and Fractional Calculus in Continuum Mechanics, Springer, Wien and New York, 1997, pp. 291-348.
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 291-348
-
-
Mainardi, F.1
-
39
-
-
0000145521
-
On Mittag-Leffler-type functions in fractional evolution processes
-
F. Mainardi and R. Gorenflo, On Mittag-Leffler-type functions in fractional evolution processes, J. Comput. Appl. Math. 118 (2000), 283-299.
-
(2000)
J. Comput. Appl. Math.
, vol.118
, pp. 283-299
-
-
Mainardi, F.1
Gorenflo, R.2
-
40
-
-
32544461435
-
A fractional generalization of the Poisson processes
-
E-print arXiv:math-PR/0701454
-
F. Mainardi, R. Gorenflo, and E. Scalas, A fractional generalization of the Poisson processes. Vietnam J. Mathematics 32 SI (2004), 53-64. [E-print arXiv:math-PR/0701454]
-
(2004)
Vietnam J. Mathematics
, vol.32
, Issue.SI
, pp. 53-64
-
-
Mainardi, F.1
Gorenflo, R.2
Scalas, E.3
-
41
-
-
33645175085
-
Renewal processes of Mittag-Leffler and Wright type
-
E-print arXiv:math-PR/0701455
-
F. Mainardi, R. Gorenflo, and A. Vivoli, Renewal processes of Mittag-Leffler and Wright type, Fractional Calculus Appl. Anal., 8 (2005), 7-38. [E-print arXiv:math-PR/0701455]
-
(2005)
Fractional Calculus Appl. Anal.
, vol.8
, pp. 7-38
-
-
Mainardi, F.1
Gorenflo, R.2
Vivoli, A.3
-
42
-
-
0001407424
-
The fundamental solution of the space-time fractional diffusion equation
-
E-print arXiv:cond-mat/0702419
-
F. Mainardi, Yu. Luchko, and G. Pagnini, The fundamental solution of the space-time fractional diffusion equation, Fractional Calculus Appl. Anal. 4 (2001), 153-192. [E-print arXiv:cond-mat/0702419]
-
(2001)
Fractional Calculus Appl. Anal.
, vol.4
, pp. 153-192
-
-
Mainardi, F.1
Luchko, Y.2
Pagnini, G.3
-
43
-
-
0037457788
-
The Wright functions as solutions of the time fractional diffusion equations
-
F. Mainardi and G. Pagnini, The Wright functions as solutions of the time fractional diffusion equations, Appl. Math. Comput. 141 (2003), 51-62.
-
(2003)
Appl. Math. Comput.
, vol.141
, pp. 51-62
-
-
Mainardi, F.1
Pagnini, G.2
-
44
-
-
0034502929
-
Fractional calculus and continuous-time finance II: the waiting time distribution
-
F. Mainardi, M. Raberto, R. Gorenflo, and E. Scalas, Fractional calculus and continuous-time finance II: the waiting time distribution, Physica A 287 (2000), 468-481.
-
(2000)
Physica A
, vol.287
, pp. 468-481
-
-
Mainardi, F.1
Raberto, M.2
Gorenflo, R.3
Scalas, E.4
-
45
-
-
23744510704
-
Continuous time random walk and time fractional diffusion: a numerical comparison between the fundamental solutions
-
F. Mainardi, A. Vivoli, and R. Gorenflo, Continuous time random walk and time fractional diffusion: a numerical comparison between the fundamental solutions, Fluct. Noise Lett. 5 (2005), L291-L297.
-
(2005)
Fluct. Noise Lett.
, vol.5
-
-
Mainardi, F.1
Vivoli, A.2
Gorenflo, R.3
-
46
-
-
41349099804
-
Stochastic solutions of space fractional diffusion equation
-
M.M. Meerschaert, D.A. Benson, H.-P. Scheffler, and B. Baeumer, Stochastic solutions of space fractional diffusion equation, Phys. Rev. E 65 (2002), 041103-1/4.
-
(2002)
Phys. Rev. E
, vol.65
-
-
Meerschaert, M.M.1
Benson, D.A.2
Scheffler, H.-P.3
Baeumer, B.4
-
47
-
-
18144408075
-
Anomalous diffusion and relaxation close to thermal equilibrium: a fractional Fokker-Planck equation approach
-
R. Metzler, E. Barkai, and J. Klafter, Anomalous diffusion and relaxation close to thermal equilibrium: a fractional Fokker-Planck equation approach, Phys. Rev. Lett 82 (1999), 3563-3567.
-
(1999)
Phys. Rev. Lett
, vol.82
, pp. 3563-3567
-
-
Metzler, R.1
Barkai, E.2
Klafter, J.3
-
48
-
-
0000338623
-
Random walks on lattices. IV: Continuous-time walks and influence of absorbing boundaries
-
E.W. Montroll and H. Scher, Random walks on lattices, IV: Continuous-time walks and influence of absorbing boundaries, J. Stat. Phys. 9 (1973), 101-135.
-
(1973)
J. Stat. Phys.
, vol.9
, pp. 101-135
-
-
Montroll, E.W.1
Scher, H.2
-
49
-
-
0002567920
-
Random walks on lattices II
-
E.W. Montroll and G.H. Weiss, Random walks on lattices, II, J. Math. Phys. 6 (1965), 167-181.
-
(1965)
J. Math. Phys.
, vol.6
, pp. 167-181
-
-
Montroll, E.W.1
Weiss, G.H.2
-
50
-
-
0002609677
-
On an enriched collection of stochastic processes
-
E.W. Montroll and J. Leibowitz (Editors), North-Holland, Amsterdam, Studies in Statistical Mechanics
-
E.W. Montroll and D.J. West, On an enriched collection of stochastic processes, in E.W. Montroll and J. Leibowitz (Editors), Fluctuation Phenomena, North-Holland, Amsterdam, 1979, pp. 61-175. [Studies in Statistical Mechanics, Vol. VII]
-
(1979)
Fluctuation Phenomena
, vol.VII
, pp. 61-175
-
-
Montroll, E.W.1
West, D.J.2
-
51
-
-
0000495328
-
On Mittag-Leffler functions and related distributions
-
R.N. Pillai, On Mittag-Leffler functions and related distributions, Ann. Inst. Statist. Math. 42 (1990), 157-161.
-
(1990)
Ann. Inst. Statist. Math.
, vol.42
, pp. 157-161
-
-
Pillai, R.N.1
-
52
-
-
13444309297
-
Models of anomalous diffusion: the subdiffusive case
-
A. Piryatinska, A.I. Saichev, and W.A. Woyczynski, Models of anomalous diffusion: the subdiffusive case, Physica A 349 (2005), 375-420.
-
(2005)
Physica A
, vol.349
, pp. 375-420
-
-
Piryatinska, A.1
Saichev, A.I.2
Woyczynski, W.A.3
-
53
-
-
0003797958
-
Fractional Differential Equations
-
Academic Press, San Diego
-
I. Podlubny, Fractional Differential Equations. Academic Press, San Diego (1999).
-
(1999)
-
-
Podlubny, I.1
-
54
-
-
84932210307
-
A characteristic of the Poisson stream
-
In Hungarian
-
A. Renyi, A characteristic of the Poisson stream, Proc. Math. Inst. Hungarica Acad. Sci. 1 (4) (1956), 563-570. [In Hungarian]
-
(1956)
Proc. Math. Inst. Hungarica Acad. Sci.
, vol.1
, Issue.4
, pp. 563-570
-
-
Renyi, A.1
-
55
-
-
0003897447
-
Introduction to Probability Models
-
6th edn., Academic Press, New York
-
S.M. Ross, Introduction to Probability Models, 6th edn., Academic Press, New York, (1997).
-
(1997)
-
-
Ross, S.M.1
-
56
-
-
0000599032
-
Fractional kinetic equations: solutions and applications
-
A.I. Saichev and G.M. Zaslavsky, Fractional kinetic equations: solutions and applications, Chaos 7 (1997), 753-764.
-
(1997)
Chaos
, vol.7
, pp. 753-764
-
-
Saichev, A.I.1
Zaslavsky, G.M.2
-
57
-
-
0003598080
-
Fractional Integrals and Derivatives: Theory and Applications
-
Gordon and Breach, New York, Translation from the Russian edition, Nauka i Tekhnika, Minsk (1987)
-
S.G. Samko, A.A. Kilbas, and O.I. Marichev, Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, New York (1993) [Translation from the Russian edition, Nauka i Tekhnika, Minsk (1987)].
-
(1993)
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
58
-
-
32544456755
-
The application of continuoustime random walks in finance and economics
-
E. Scalas, The application of continuoustime random walks in finance and economics, Physica A 362 (2006), 225-239.
-
(2006)
Physica A
, vol.362
, pp. 225-239
-
-
Scalas, E.1
-
59
-
-
0034275979
-
Fractional calculus and continuous-time finance
-
E. Scalas, R. Gorenflo, and F. Mainardi, Fractional calculus and continuous-time finance, Physica A 284 (2000), 376-384.
-
(2000)
Physica A
, vol.284
, pp. 376-384
-
-
Scalas, E.1
Gorenflo, R.2
Mainardi, F.3
-
60
-
-
1842531858
-
Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation
-
E. Scalas, R. Gorenflo, and F. Mainardi, Uncoupled continuous-time random walks: Solution and limiting behavior of the master equation, Phys. Rev. E 69 (2004), 011107-1/8.
-
(2004)
Phys. Rev. E
, vol.69
-
-
Scalas, E.1
Gorenflo, R.2
Mainardi, F.3
-
61
-
-
0001553919
-
Fractional diffusion and wave equations
-
W.R. Schneider and W. Wyss, Fractional diffusion and wave equations, J. Math. Phys. 30 (1989) 134-144.
-
(1989)
J. Math. Phys.
, vol.30
, pp. 134-144
-
-
Schneider, W.R.1
Wyss, W.2
-
62
-
-
0242556344
-
Do strange kinetics imply unusual thermodynamics?
-
I.M. Sokolov, J. Klafter, and A. Blumen, Do strange kinetics imply unusual thermodynamics? Phys. Rev. E. 64 (2001), 021107/1-4.
-
(2001)
Phys. Rev. E.
, vol.64
-
-
Sokolov, I.M.1
Klafter, J.2
Blumen, A.3
-
63
-
-
0042518233
-
Limiting distribution for the sums of random number of random variables concerning the rarefaction of recurrent events
-
T. Szàntai, Limiting distribution for the sums of random number of random variables concerning the rarefaction of recurrent events, Studia Scientiarum Mathematicarum Hungarica 6 (1971), 443-452.
-
(1971)
Studia Scientiarum Mathematicarum Hungarica
, vol.6
, pp. 443-452
-
-
Szàntai, T.1
-
64
-
-
69949164932
-
On an invariance problem related to different rarefactions of recurrent events
-
T. Szàntai, On an invariance problem related to different rarefactions of recurrent events. Studia Scientiarum Mathematicarum Hungarica 6 (1971), 453-456.
-
(1971)
Studia Scientiarum Mathematicarum Hungarica
, vol.6
, pp. 453-456
-
-
Szàntai, T.1
-
65
-
-
0142009320
-
Stochastic solution of partial differential equations of fractional orders
-
V.V. Uchaikin and V.V. Saenko, Stochastic solution of partial differential equations of fractional orders, Siberian J. Num. Math. 6 (2003), 197-203.
-
(2003)
Siberian J. Num. Math.
, vol.6
, pp. 197-203
-
-
Uchaikin, V.V.1
Saenko, V.V.2
-
66
-
-
0003572301
-
Aspects and Applications of Random Walks
-
North-Holland, Amsterdam
-
G.H. Weiss, Aspects and Applications of Random Walks, North-Holland, Amsterdam (1994).
-
(1994)
-
-
Weiss, G.H.1
-
67
-
-
0030264775
-
On the Cole-Cole relaxation function and related Mittag-Leffler distribution
-
K. Weron and M. Kotulski, On the Cole-Cole relaxation function and related Mittag-Leffler distribution, Physica A 232 (1995), 180-188.
-
(1995)
Physica A
, vol.232
, pp. 180-188
-
-
Weron, K.1
Kotulski, M.2
-
68
-
-
0004201980
-
The Laplace Transform
-
Princeton University Press, Princeton
-
D.V. Widder, The Laplace Transform, Princeton University Press, Princeton (1946).
-
(1946)
-
-
Widder, D.V.1
|