-
1
-
-
33646975016
-
Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe
-
Borg G. Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Acta Math. 1946, 76(1):1-96.
-
(1946)
Acta Math.
, vol.76
, Issue.1
, pp. 1-96
-
-
Borg, G.1
-
2
-
-
0040307478
-
Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications
-
Bouchaud J.-P., Georges A. Anomalous diffusion in disordered media: statistical mechanisms, models and physical applications. Phys. Rep. 1990, 195(4-5):127-293.
-
(1990)
Phys. Rep.
, vol.195
, Issue.4-5
, pp. 127-293
-
-
Bouchaud, J.-P.1
Georges, A.2
-
3
-
-
77954142858
-
Numerical simulations of 2D fractional subdiffusion problems
-
Brunner H., Ling L., Yamamoto M. Numerical simulations of 2D fractional subdiffusion problems. J. Comput. Phys. 2010, 229(18):6613-6622.
-
(2010)
J. Comput. Phys.
, vol.229
, Issue.18
, pp. 6613-6622
-
-
Brunner, H.1
Ling, L.2
Yamamoto, M.3
-
4
-
-
0003664881
-
-
SIAM, Philadelphia, PA
-
Chadan K., Colton D., Päivärinta L., Rundell W. An Introduction to Inverse Scattering and Inverse Spectral Problems 1997, SIAM, Philadelphia, PA.
-
(1997)
An Introduction to Inverse Scattering and Inverse Spectral Problems
-
-
Chadan, K.1
Colton, D.2
Päivärinta, L.3
Rundell, W.4
-
5
-
-
70450198851
-
Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
-
16 pp.
-
Cheng J., Nakagawa J., Yamamoto M., Yamazaki T. Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation. Inverse Probl. 2009, 25(11):115002. 16 pp.
-
(2009)
Inverse Probl.
, vol.25
, Issue.11
, pp. 115002
-
-
Cheng, J.1
Nakagawa, J.2
Yamamoto, M.3
Yamazaki, T.4
-
6
-
-
0036650479
-
A predictor-corrector approach for the numerical solution of fractional differential equations
-
Diethelm K., Ford N.J., Freed A.D. A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynam. 2002, 29(1-4):3-22.
-
(2002)
Nonlinear Dynam.
, vol.29
, Issue.1-4
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
7
-
-
0141573180
-
A boundary value problem for a Sturm-Liouville type differential operator of fractional order
-
Djrbashian M.M. A boundary value problem for a Sturm-Liouville type differential operator of fractional order. Izv. Akad. Nauk Armjan. SSR Ser. Mat. 1970, 5(2):71-96.
-
(1970)
Izv. Akad. Nauk Armjan. SSR Ser. Mat.
, vol.5
, Issue.2
, pp. 71-96
-
-
Djrbashian, M.M.1
-
9
-
-
84980151450
-
The inverse Sturm-Liouville problem
-
Hochstadt H. The inverse Sturm-Liouville problem. Commun. Pure Appl. Math. 1973, 26:715-729.
-
(1973)
Commun. Pure Appl. Math.
, vol.26
, pp. 715-729
-
-
Hochstadt, H.1
-
11
-
-
34547548712
-
Finite difference/spectral approximations for the time-fractional diffusion equation
-
Lin Y., Xu C. Finite difference/spectral approximations for the time-fractional diffusion equation. J. Comput. Phys. 2007, 225(2):1533-1552.
-
(2007)
J. Comput. Phys.
, vol.225
, Issue.2
, pp. 1533-1552
-
-
Lin, Y.1
Xu, C.2
-
12
-
-
77957906609
-
A backward problem for the time-fractional diffusion equation
-
Liu J.J., Yamamoto M. A backward problem for the time-fractional diffusion equation. Appl. Anal. 2010, 89(11):1769-1788.
-
(2010)
Appl. Anal.
, vol.89
, Issue.11
, pp. 1769-1788
-
-
Liu, J.J.1
Yamamoto, M.2
-
13
-
-
0000734809
-
The recovery of potentials from finite spectral data
-
Lowe B.D., Pilant M., Rundell W. The recovery of potentials from finite spectral data. SIAM J. Math. Anal. 1992, 23(2):482-504.
-
(1992)
SIAM J. Math. Anal.
, vol.23
, Issue.2
, pp. 482-504
-
-
Lowe, B.D.1
Pilant, M.2
Rundell, W.3
-
14
-
-
0001505107
-
Multidimensional advection and fractional dispersion
-
Meerschaert M.M., Benson D.A., Bäumer B. Multidimensional advection and fractional dispersion. Phys. Rev. E 1999, 59(5):5026-5028.
-
(1999)
Phys. Rev. E
, vol.59
, Issue.5
, pp. 5026-5028
-
-
Meerschaert, M.M.1
Benson, D.A.2
Bäumer, B.3
-
15
-
-
0002641421
-
The random walk's guide to anomalous diffusion: a fractional dynamics approach
-
Metzler R., Klafter J. The random walk's guide to anomalous diffusion: a fractional dynamics approach. Phys. Rep. 2000, 339(1):1-77.
-
(2000)
Phys. Rep.
, vol.339
, Issue.1
, pp. 1-77
-
-
Metzler, R.1
Klafter, J.2
-
16
-
-
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: Math. Gen. 2004, 37(31):R161-R208.
-
(2004)
J. Phys. A: Math. Gen.
, vol.37
, Issue.31
-
-
Metzler, R.1
Klafter, J.2
-
17
-
-
0036828936
-
Space- and time-fractional diffusion and wave equations, fractional Fokker-Planck equations, and physical motivations
-
Metzler R., Nonnenmacher T.F. Space- and time-fractional diffusion and wave equations, fractional Fokker-Planck equations, and physical motivations. Chem. Phys. 2002, 284(1-2):67-90.
-
(2002)
Chem. Phys.
, vol.284
, Issue.1-2
, pp. 67-90
-
-
Metzler, R.1
Nonnenmacher, T.F.2
-
18
-
-
0040753037
-
The Sturm-Liouville problem for a second order ordinary differential equation with fractional derivatives in the lower terms
-
NahuŠev A.M. The Sturm-Liouville problem for a second order ordinary differential equation with fractional derivatives in the lower terms. Dokl. Akad. Nauk SSSR 1977, 234(2):308-311.
-
(1977)
Dokl. Akad. Nauk SSSR
, vol.234
, Issue.2
, pp. 308-311
-
-
Nahušev, A.M.1
-
20
-
-
42449160660
-
On the number of real eigenvalues of a certain boundary-value problem for a second-order equation with fractional derivative
-
Popov A.Y. On the number of real eigenvalues of a certain boundary-value problem for a second-order equation with fractional derivative. J. Math. Sci. 2008, 151(1):2726-2740.
-
(2008)
J. Math. Sci.
, vol.151
, Issue.1
, pp. 2726-2740
-
-
Popov, A.Y.1
-
21
-
-
28544452191
-
A least-squares functional for solving inverse Sturm-Liouville problems
-
Röhrl N. A least-squares functional for solving inverse Sturm-Liouville problems. Inverse Probl. 2005, 21(6):2009-2017.
-
(2005)
Inverse Probl.
, vol.21
, Issue.6
, pp. 2009-2017
-
-
Röhrl, N.1
-
22
-
-
85065556461
-
Application of fractional calculus for dynamic problems of solid mechanics: novel trends and recent results
-
52 pp.
-
Rossikhin Y.A., Shitikova M.V. Application of fractional calculus for dynamic problems of solid mechanics: novel trends and recent results. Appl. Mech. Rev. 2010, 63(1):010801. 52 pp.
-
(2010)
Appl. Mech. Rev.
, vol.63
, Issue.1
, pp. 010801
-
-
Rossikhin, Y.A.1
Shitikova, M.V.2
-
23
-
-
3042636111
-
Numerical technique for the inverse resonance problem
-
Rundell W., Sacks P. Numerical technique for the inverse resonance problem. J. Comput. Appl. Math. 2004, 170(2):337-347.
-
(2004)
J. Comput. Appl. Math.
, vol.170
, Issue.2
, pp. 337-347
-
-
Rundell, W.1
Sacks, P.2
-
24
-
-
84968515990
-
Reconstruction techniques for classical inverse Sturm-Liouville problems
-
Rundell W., Sacks P.E. Reconstruction techniques for classical inverse Sturm-Liouville problems. Math. Comput. 1992, 58(197):161-183.
-
(1992)
Math. Comput.
, vol.58
, Issue.197
, pp. 161-183
-
-
Rundell, W.1
Sacks, P.E.2
-
25
-
-
79956068443
-
Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
-
Sakamoto K., Yamamoto M. Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems. J. Math. Anal. Appl. 2011, 382(1):426-447.
-
(2011)
J. Math. Anal. Appl.
, vol.382
, Issue.1
, pp. 426-447
-
-
Sakamoto, K.1
Yamamoto, M.2
-
26
-
-
0001553919
-
Fractional diffusion and wave equations
-
Schneider W.R., Wyss W. Fractional diffusion and wave equations. J. Math. Phys. 1989, 30(1):134-144.
-
(1989)
J. Math. Phys.
, vol.30
, Issue.1
, pp. 134-144
-
-
Schneider, W.R.1
Wyss, W.2
-
27
-
-
34249763957
-
Asymptotic formulas for zeros of functions of Mittag-Leffler type
-
Sedletskii{dotless}̌ A.M. Asymptotic formulas for zeros of functions of Mittag-Leffler type. Anal. Math. 1994, 20(2):117-132.
-
(1994)
Anal. Math.
, vol.20
, Issue.2
, pp. 117-132
-
-
Sedletskiǐ, A.M.1
-
28
-
-
55349106156
-
Numerical algorithm for calculating the generalized Mittag-Leffler function
-
09
-
Seybold H., Hilfer R. Numerical algorithm for calculating the generalized Mittag-Leffler function. SIAM J. Numer. Anal. 2008/09, 47(1):69-88.
-
(2008)
SIAM J. Numer. Anal.
, vol.47
, Issue.1
, pp. 69-88
-
-
Seybold, H.1
Hilfer, R.2
-
29
-
-
0000885234
-
Lévy dynamics of enhanced diffusion: application to turbulence
-
Shlesinger M.F., West B.J., Klafter J. Lévy dynamics of enhanced diffusion: application to turbulence. Phys. Rev. Lett. 1987, 58(11):1100-1103.
-
(1987)
Phys. Rev. Lett.
, vol.58
, Issue.11
, pp. 1100-1103
-
-
Shlesinger, M.F.1
West, B.J.2
Klafter, J.3
-
30
-
-
0011317876
-
Inverse spectral problem for systems of ordinary differential equations of first order
-
Yamamoto M. Inverse spectral problem for systems of ordinary differential equations of first order. I. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 1988, 35(3):519-546.
-
(1988)
I. J. Fac. Sci. Univ. Tokyo Sect. IA Math.
, vol.35
, Issue.3
, pp. 519-546
-
-
Yamamoto, M.1
-
31
-
-
81555202980
-
A new regularization method for the time fractional inverse advection-dispersion problem
-
Zheng G.H., Wei T. A new regularization method for the time fractional inverse advection-dispersion problem. SIAM J. Numer. Anal. 2011, 49(5):1972-1990.
-
(2011)
SIAM J. Numer. Anal.
, vol.49
, Issue.5
, pp. 1972-1990
-
-
Zheng, G.H.1
Wei, T.2
|