-
1
-
-
0001311725
-
Stochastic solutions for fractional Cauchy problems
-
Baeumer, B., Meerschaert, M. M.: Stochastic solutions for fractional Cauchy problems. Fract. Calc. Appl. Anal. 4, 481-500 (2001).
-
(2001)
Fract. Calc. Appl. Anal.
, vol.4
, pp. 481-500
-
-
Baeumer, B.1
Meerschaert, M.M.2
-
2
-
-
63549089594
-
Brownian subordinators and fractional Cauchy problems
-
Baeumer, B., Meerschaert, M. M., Nane, E.: Brownian subordinators and fractional Cauchy problems. Trans. Am. Math. Soc. 361, 3915-3930 (2009).
-
(2009)
Trans. Am. Math. Soc.
, vol.361
, pp. 3915-3930
-
-
Baeumer, B.1
Meerschaert, M.M.2
Nane, E.3
-
3
-
-
10844262963
-
Subordination principle for fractional evolution equations
-
Bazhlekova, E. G.: Subordination principle for fractional evolution equations. Fract. Calc. Appl. Anal. 3, 213-230 (2000).
-
(2000)
Fract. Calc. Appl. Anal.
, vol.3
, pp. 213-230
-
-
Bazhlekova, E.G.1
-
4
-
-
0000335218
-
Asymptotic expansions and analytic continuation for a class of Barnes integrals
-
Braaksma, B. L. J.: Asymptotic expansions and analytic continuation for a class of Barnes integrals. Compos Math. 15, 239-341 (1964).
-
(1964)
Compos Math.
, vol.15
, pp. 239-341
-
-
Braaksma, B.L.J.1
-
8
-
-
1942542248
-
Cauchy problem for fractional diffusion equations
-
Eidelman, S. D., Kochubei, A. N.: Cauchy problem for fractional diffusion equations. J. Diff. Equ. 199, 211-255 (2004).
-
(2004)
J. Diff. Equ.
, vol.199
, pp. 211-255
-
-
Eidelman, S.D.1
Kochubei, A.N.2
-
10
-
-
34247614459
-
Stability analysis and oscillatory structures in time-fractional reaction-diffusion systems
-
article 055201(R)
-
Gafiychuk, V., Datsko, B.: Stability analysis and oscillatory structures in time-fractional reaction-diffusion systems. Phys. Rev. E 75, article 055201(R) (2007).
-
(2007)
Phys. Rev. E
, vol.75
-
-
Gafiychuk, V.1
Datsko, B.2
-
11
-
-
47849129193
-
Mathematical modeling of time-fractional reaction-diffusion systems
-
Gafiychuk, V., Datsko, B., Meleshko, V.: Mathematical modeling of time-fractional reaction-diffusion systems. J. Comput. Appl. Math. 220, 215-225 (2008).
-
(2008)
J. Comput. Appl. Math.
, vol.220
, pp. 215-225
-
-
Gafiychuk, V.1
Datsko, B.2
Meleshko, V.3
-
12
-
-
0003625475
-
-
Theory of Differential Equations, New York: Academic
-
Gel'fand, I. M., Shilov, G. E.: Generalized Functions. Theory of Differential Equations, vol. 3. Academic, New York (1967).
-
(1967)
Generalized Functions
, vol.3
-
-
Gel'fand, I.M.1
Shilov, G.E.2
-
14
-
-
0141974618
-
Fractional diffusion processes: probability distribution and continuous time random walk
-
Gorenflo, R., Mainardi, F.: Fractional diffusion processes: probability distribution and continuous time random walk. Lect. Notes Phys. 621, 148-166 (2003).
-
(2003)
Lect. Notes Phys.
, vol.621
, pp. 148-166
-
-
Gorenflo, R.1
Mainardi, F.2
-
16
-
-
0001205778
-
Regularized semigroups and systems of linear partial differential equations
-
Hieber, M., Holderrieth, A., Neubrander, F.: Regularized semigroups and systems of linear partial differential equations. Ann. Sc. Norm. Super. Pisa 19, 363-379 (1992).
-
(1992)
Ann. Sc. Norm. Super. Pisa
, vol.19
, pp. 363-379
-
-
Hieber, M.1
Holderrieth, A.2
Neubrander, F.3
-
19
-
-
0007045475
-
A Cauchy problem for evolution equations of fractional order
-
Kochubei, A. N.: A Cauchy problem for evolution equations of fractional order. Diff. Equ. 25, 967-974 (1989).
-
(1989)
Diff. Equ.
, vol.25
, pp. 967-974
-
-
Kochubei, A.N.1
-
20
-
-
0000332009
-
Fractional-order diffusion
-
Kochubei, A. N.: Fractional-order diffusion. Diff. Equ. 26, 485-492 (1990).
-
(1990)
Diff. Equ.
, vol.26
, pp. 485-492
-
-
Kochubei, A.N.1
-
21
-
-
73549104035
-
Generalized continuous-time random walks, subordination by hitting times, and fractional dynamics
-
Kolokoltsov, V. N.: Generalized continuous-time random walks, subordination by hitting times, and fractional dynamics. Theory Probab. Appl. 53, 594-609 (2009).
-
(2009)
Theory Probab. Appl.
, vol.53
, pp. 594-609
-
-
Kolokoltsov, V.N.1
-
24
-
-
84862178171
-
Memoires sur la théorie des systèmes des équations différentielles linéaires, vol. 1
-
Lappo-Danilevskij, J. A.: Memoires sur la théorie des systèmes des équations différentielles linéaires, vol. 1. Trav. Inst. Phys.-Math. Stekloff 6, 1-256 (1934).
-
(1934)
Trav. Inst. Phys.-Math. Stekloff
, vol.6
, pp. 1-256
-
-
Lappo-Danilevskij, J.A.1
-
25
-
-
76449091249
-
Some uniqueness and existence results for the initial-boundary value problems for the generalized time-fractional diffusion equation
-
Luchko, Y.: Some uniqueness and existence results for the initial-boundary value problems for the generalized time-fractional diffusion equation. Comput. Math. Appl. 59, 1766-1772 (2010).
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 1766-1772
-
-
Luchko, Y.1
-
26
-
-
0030464353
-
Fractional relaxation-oscillation and fractional diffusion-wave phenomena
-
Mainardi, F.: Fractional relaxation-oscillation and fractional diffusion-wave phenomena. Chaos, Solitons Fractals 7, 1461-1477 (1996).
-
(1996)
Chaos, Solitons Fractals
, vol.7
, pp. 1461-1477
-
-
Mainardi, F.1
-
28
-
-
70449607356
-
Fractional Cauchy problems on bounded domains
-
Meerschaert, M. M., Nane, E., Vellaisamy, P.: Fractional Cauchy problems on bounded domains. Ann. Probab. 37, 979-1007 (2009).
-
(2009)
Ann. Probab.
, vol.37
, pp. 979-1007
-
-
Meerschaert, M.M.1
Nane, E.2
Vellaisamy, P.3
-
29
-
-
4043102385
-
Limit theorems for continuous-time random walks with infinite mean waiting times
-
Meerschaert, M. M., Scheffler, H.-P.: Limit theorems for continuous-time random walks with infinite mean waiting times. J. Appl. Probab. 41, 623-638 (2004).
-
(2004)
J. Appl. Probab.
, vol.41
, pp. 623-638
-
-
Meerschaert, M.M.1
Scheffler, H.-P.2
-
30
-
-
4043151477
-
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
-
Metzler, R., Klafter, J.: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics. J. Phys. A 37, R161-R208 (2004).
-
(2004)
J. Phys. A
, vol.37
-
-
Metzler, R.1
Klafter, J.2
-
31
-
-
47649112182
-
Non-Markovian diffusion equations and processes: analysis and simulations
-
Mura, A., Taqqu, M. S., Mainardi, F.: Non-Markovian diffusion equations and processes: analysis and simulations. Physica A 387, 5033-5064 (2008).
-
(2008)
Physica A
, vol.387
, pp. 5033-5064
-
-
Mura, A.1
Taqqu, M.S.2
Mainardi, F.3
-
32
-
-
0022492943
-
The realization of the generalized transfer in a medium with fractal geometry
-
Nigmatullin, R. R.: The realization of the generalized transfer in a medium with fractal geometry. Phys. Status Solidi B 133, 425-430 (1986).
-
(1986)
Phys. Status Solidi B
, vol.133
, pp. 425-430
-
-
Nigmatullin, R.R.1
-
33
-
-
63049113652
-
Fractional diffusion equations and processes with randomly varying time
-
Orsingher, E., Beghin, L.: Fractional diffusion equations and processes with randomly varying time. Ann. Probab. 37, 206-249 (2009).
-
(2009)
Ann. Probab.
, vol.37
, pp. 206-249
-
-
Orsingher, E.1
Beghin, L.2
-
34
-
-
0010918911
-
Über das Cauchysche problem fur ein system linearer partieller differentialgleichungen im gebiete der nichtanalytischen funktionen
-
Petrowsky, I.: Über das Cauchysche problem fur ein system linearer partieller differentialgleichungen im gebiete der nichtanalytischen funktionen. Bull. Univ. Etat. Moscou, Ser. Int., Sect. A, Math. et Mécan. 1(Fasc. 7), 1-74 (1938).
-
(1938)
Bull. Univ. Etat. Moscou, Ser. Int., Sect. A, Math. Et Mécan.
, vol.1
, pp. 1-74
-
-
Petrowsky, I.1
-
36
-
-
56449094573
-
Fractional evolution Dirac-like equations: some properties and a discrete von Neumann-type analysis
-
Pietrantozzi, T.: Fractional evolution Dirac-like equations: some properties and a discrete von Neumann-type analysis. J. Comput. Appl. Math. 224, 284-295 (2009).
-
(2009)
J. Comput. Appl. Math.
, vol.224
, pp. 284-295
-
-
Pietrantozzi, T.1
-
37
-
-
65349154473
-
The fundamental solution of a diffusion-wave equation of fractional order
-
Pskhu, A. V.: The fundamental solution of a diffusion-wave equation of fractional order. Izv. Math. 73, 351-392 (2009).
-
(2009)
Izv. Math.
, vol.73
, pp. 351-392
-
-
Pskhu, A.V.1
-
41
-
-
0001553919
-
Fractional diffusion and wave equations
-
Schneider, W. R., Wyss, W.: Fractional diffusion and wave equations. J. Math. Phys. 30, 134-144 (1989).
-
(1989)
J. Math. Phys.
, vol.30
, pp. 134-144
-
-
Schneider, W.R.1
Wyss, W.2
-
42
-
-
0016439991
-
Slowly varying functions and asymptotic behavior of a class of integral transforms
-
Soni, K., Soni, R. P.: Slowly varying functions and asymptotic behavior of a class of integral transforms. I. J. Math. Anal. Appl. 49, 166-179 (1975).
-
(1975)
I. J. Math. Anal. Appl.
, vol.49
, pp. 166-179
-
-
Soni, K.1
Soni, R.P.2
-
44
-
-
0037457772
-
Fractionally coupled solutions of the diffusion equation
-
Vázquez, L., Vilela Mendes, R.: Fractionally coupled solutions of the diffusion equation. Appl. Math. Comput. 141, 125-130 (2003).
-
(2003)
Appl. Math. Comput.
, vol.141
, pp. 125-130
-
-
Vázquez, L.1
Vilela Mendes, R.2
-
45
-
-
0012719785
-
The generalized Bessel function of order greater than one
-
Wright, E. M.: The generalized Bessel function of order greater than one. Q. J. Math. (Oxford Ser.) 11, 36-48 (1940).
-
(1940)
Q. J. Math. (Oxford Ser.)
, vol.11
, pp. 36-48
-
-
Wright, E.M.1
-
46
-
-
0009481303
-
The fractional diffusion equation
-
Wyss, W.: The fractional diffusion equation. J. Math. Phys. 27, 2782-2785 (1986).
-
(1986)
J. Math. Phys.
, vol.27
, pp. 2782-2785
-
-
Wyss, W.1
-
47
-
-
43949160116
-
Fractional kinetic equation for Hamiltonian chaos
-
Zaslavsky, G. M.: Fractional kinetic equation for Hamiltonian chaos. Physica D 76, 110-122 (1994).
-
(1994)
Physica D
, vol.76
, pp. 110-122
-
-
Zaslavsky, G.M.1
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