-
1
-
-
22544474172
-
On a fractional distributed-order oscillator
-
doi:10.1088/0305-4470/38/30/006
-
Atanackovic, T. M., Budincevic, M. and Pilipovic, S. 2005 On a fractional distributed-order oscillator. J. Phys. A Math. Gen. 38, 6703-6713. (doi:10.1088/0305-4470/38/30/006)
-
(2005)
J. Phys. A Math. Gen
, vol.38
, pp. 6703-6713
-
-
Atanackovic, T.M.1
Budincevic, M.2
Pilipovic, S.3
-
2
-
-
34247636164
-
Diffusion wave equation with two fractional derivatives of different order
-
doi:10.1088/1751-8113/40 /20/006
-
Atanackovic, T. M., Pilipovic, S. and Zorica, D. 2007 Diffusion wave equation with two fractional derivatives of different order. J. Phys. A Math. Theor. 40, 5319-5333. (doi:10.1088/1751-8113/40 /20/006)
-
(2007)
J. Phys. A Math. Theor
, vol.40
, pp. 5319-5333
-
-
Atanackovic, T.M.1
Pilipovic, S.2
Zorica, D.3
-
3
-
-
61949113544
-
Distributional framework for solving fractional differential equations
-
doi:10.1080/10652460 802568069
-
Atanackovic, T. M., Oparnica, L. and Pilipovic, S. 2009 Distributional framework for solving fractional differential equations. Integral Transforms Special Funct. 20, 215-222. (doi:10.1080/10652460 802568069)
-
(2009)
Integral Transforms Special Funct
, vol.20
, pp. 215-222
-
-
Atanackovic, T.M.1
Oparnica, L.2
Pilipovic, S.3
-
4
-
-
67149103784
-
Time distributed-order diffusion-wave equation. I. Volterra-type equation
-
doi:10.1098/rspa.2008.0445
-
Atanackovic, T. M., Pilipovic, S. and Zorica, D. 2009 Time distributed-order diffusion-wave equation. I. Volterra-type equation. Proc. R. Soc. A 465, 1869-1891. (doi:10.1098/rspa.2008.0445)
-
(2009)
Proc. R. Soc. A
, vol.465
, pp. 1869-1891
-
-
Atanackovic, T.M.1
Pilipovic, S.2
Zorica, D.3
-
5
-
-
41349088572
-
Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations
-
doi:10.1103/PhysRevE.66.046129
-
Chechkin, A. V., Gorenflo, R. and Sokolov, I. M. 2002 Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations. Phys. Rev. E 66, 046129. (doi:10.1103/PhysRevE.66.046129)
-
(2002)
Phys. Rev. E
, vol.66
, pp. 046129
-
-
Chechkin, A.V.1
Gorenflo, R.2
Sokolov, I.M.3
-
6
-
-
0037092904
-
Analytical and numerical inversion of the Laplace-Carson transform by a differential method
-
doi:10.1016/S0010-4655 (02) 00281-3
-
Donalto, C. 2002 Analytical and numerical inversion of the Laplace-Carson transform by a differential method. Comput. Phys. Commun. 145, 298-309. (doi:10.1016/S0010-4655 (02) 00281-3)
-
(2002)
Comput. Phys. Commun
, vol.145
, pp. 298-309
-
-
Donalto, C.1
-
7
-
-
1942542248
-
Cauchy problem for fractional diffusion equations
-
doi:10.1016/j.jde.2003.12.002
-
Eidelman, S. D. and Kochubei, A. N. 2004 Cauchy problem for fractional diffusion equations. J. Differ. Eqns. 199, 211-255. (doi:10.1016/j.jde.2003.12.002)
-
(2004)
J. Differ. Eqns
, vol.199
, pp. 211-255
-
-
Eidelman, S.D.1
Kochubei, A.N.2
-
8
-
-
0032165073
-
Improvement of accuracy in numerical methods for inverting Laplace transforms based on Post-Widder formula
-
S0898-1221 (98) 00147-3, doi:10.1016
-
Frolov, G. A. and Kitaev, M. Y. 1998 Improvement of accuracy in numerical methods for inverting Laplace transforms based on Post-Widder formula. Comput. Math. Appl. 36, 23-34. (doi:10.1016 /S0898-1221 (98) 00147-3)
-
(1998)
Comput. Math. Appl
, vol.36
, pp. 23-34
-
-
Frolov, G.A.1
Kitaev, M.Y.2
-
9
-
-
34547639814
-
Multidimensional solutions of space-fractional diffusion equations
-
doi:10.1098/rspa.2001.0849
-
Hanyga, A. 2001 Multidimensional solutions of space-fractional diffusion equations. Proc. R. Soc. Lond. A 457, 2993-3005. (doi:10.1098/rspa.2001.0849)
-
(2001)
Proc. R. Soc. Lond. A
, vol.457
, pp. 2993-3005
-
-
Hanyga, A.1
-
10
-
-
34249011674
-
Multi-dimensional solutions of space-time-fractional diffusion equations
-
doi:10.1098/rspa.2001.0893
-
Hanyga, A. 2002a Multi-dimensional solutions of space-time-fractional diffusion equations. Proc. R. Soc. Lond. A 458, 429-450. (doi:10.1098/rspa.2001.0893)
-
(2002)
Proc. R. Soc. Lond. A
, vol.458
, pp. 429-450
-
-
Hanyga, A.1
-
11
-
-
57249098754
-
Multidimensional solutions of time-fractional diffusion-wave equations
-
doi:10.1098/rspa.2001.0904
-
Hanyga, A. 2002b Multidimensional solutions of time-fractional diffusion-wave equations. Proc. R. Soc. Lond. A 458, 933-957. (doi:10.1098/rspa.2001.0904)
-
(2002)
Proc. R. Soc. Lond. A
, vol.458
, pp. 933-957
-
-
Hanyga, A.1
-
12
-
-
34248206059
-
Anomalous diffusion without scale invariance
-
doi:10.1088/1751-8113/40/21/007
-
Hanyga, A. 2007 Anomalous diffusion without scale invariance. J. Phys. A Math. Theor. 40, 5551-5563. (doi:10.1088/1751-8113/40/21/007)
-
(2007)
J. Phys. A Math. Theor
, vol.40
, pp. 5551-5563
-
-
Hanyga, A.1
-
13
-
-
37449011239
-
Distributed order calculus and equations of ultraslow diffusion
-
doi:10.1016/j.jmaa.2007.08.024
-
Kochubei, A. N. 2008 Distributed order calculus and equations of ultraslow diffusion. J. Math. Anal. Appl. 340, 252-281. (doi:10.1016/j.jmaa.2007.08.024)
-
(2008)
J. Math. Anal. Appl
, vol.340
, pp. 252-281
-
-
Kochubei, A.N.1
-
14
-
-
33646371459
-
Solution of a modified fractional diffusion equation
-
doi:10.1016/j.physa.2005.12. 012
-
Langlands, T. A. M. 2006 Solution of a modified fractional diffusion equation. Physica A 367, 136-144. (doi:10.1016/j.physa.2005.12. 012)
-
(2006)
Physica A
, vol.367
, pp. 136-144
-
-
Langlands, T.A.M.1
-
15
-
-
56549085438
-
Maximum principle for the generalized time-fractional diffusion equation
-
doi:10.1016/j.jmaa.2008.10.018
-
Luchko, Y. 2009 Maximum principle for the generalized time-fractional diffusion equation. J. Math. Anal. Appl. 351, 218-223. (doi:10.1016/j.jmaa.2008.10.018)
-
(2009)
J. Math. Anal. Appl
, vol.351
, pp. 218-223
-
-
Luchko, Y.1
-
16
-
-
0030464353
-
Fractional relaxation-oscillation and fractional diffusion wave phenomena
-
doi:10.1016/0960-0779 (95) 00125-5
-
Mainardi, F. 1996 Fractional relaxation-oscillation and fractional diffusion wave phenomena. Chaos Solitons Fractals 7, 1461-1477. (doi:10.1016/0960-0779 (95) 00125-5)
-
(1996)
Chaos Solitons Fractals
, vol.7
, pp. 1461-1477
-
-
Mainardi, F.1
-
17
-
-
0001983732
-
Fractional calculus: Some basic problems in continuum and statistical mechanics
-
Fractals and fractional calculus in continuum mechanics eds A. Carpinteri and F. Mainardi, Berlin, Germany: Springer
-
Mainardi, F. 1997 Fractional calculus: some basic problems in continuum and statistical mechanics. In Fractals and fractional calculus in continuum mechanics (eds A. Carpinteri and F. Mainardi). CISM Courses and Lecture Notes, no. 378, pp. 291-348. Berlin, Germany: Springer.
-
(1997)
CISM Courses and Lecture Notes
, vol.378
, pp. 291-348
-
-
Mainardi, F.1
-
18
-
-
0001407424
-
The fundamental solution of the space-time fractional diffusion equation
-
Mainardi, F., Luchko, Y. and Pagnini, G. 2001 The fundamental solution of the space-time fractional diffusion equation. Fract. Calculus Appl. Anal. 4, 153-192.
-
(2001)
Fract. Calculus Appl. Anal
, vol.4
, pp. 153-192
-
-
Mainardi, F.1
Luchko, Y.2
Pagnini, G.3
-
19
-
-
34247367101
-
Some aspects of fractional diffusion equations of single and distributed order
-
doi:10.1016/j.amc.2006.08.126
-
Mainardi, F., Pagnini, G. and Gorenflo, R. 2007a Some aspects of fractional diffusion equations of single and distributed order. Appl. Math. Comput. 187, 295-305. (doi:10.1016/j.amc.2006.08.126)
-
(2007)
Appl. Math. Comput
, vol.187
, pp. 295-305
-
-
Mainardi, F.1
Pagnini, G.2
Gorenflo, R.3
-
20
-
-
34748907169
-
The two forms of fractional relaxation of distributed order
-
doi:10.1177/1077546307077468
-
Mainardi, F., Mura, A., Gorenflo, R. and Stojanovic, M. 2007b The two forms of fractional relaxation of distributed order. J. Vib. Control. 13, 1249-1268. (doi:10.1177/1077546307077468)
-
(2007)
J. Vib. Control
, vol.13
, pp. 1249-1268
-
-
Mainardi, F.1
Mura, A.2
Gorenflo, R.3
Stojanovic, M.4
-
21
-
-
52349083860
-
Time-fractional diffusion of distributed order
-
Mainardi, F., Pagnini, G., Mura, A. and Gorenflo, R. 2008 Time-fractional diffusion of distributed order. J. Vib. Control 14, 1267-1290. (http://arXiv.org/abs/cond-mat/0701132)
-
(2008)
J. Vib. Control
, vol.14
, pp. 1267-1290
-
-
Mainardi, F.1
Pagnini, G.2
Mura, A.3
Gorenflo, R.4
-
22
-
-
4544299160
-
Distributed order fractional sub-diffusion
-
doi:10.1142 /S0218348X04002410
-
Naber, M. 2004 Distributed order fractional sub-diffusion. Fractals 12, 23-32. (doi:10.1142 /S0218348X04002410)
-
(2004)
Fractals
, vol.12
, pp. 23-32
-
-
Naber, M.1
-
27
-
-
2442679060
-
Distributed-order fractional kinetics
-
Sokolov, I. M., Checkin, A. V. and Klafter, J. 2004 Distributed-order fractional kinetics. Acta Phys. Pol. A 35, 1323-1341.
-
(2004)
Acta Phys. Pol. A
, vol.35
, pp. 1323-1341
-
-
Sokolov, I.M.1
Checkin, A.V.2
Klafter, J.3
-
30
-
-
33745194344
-
New function of Mittag-Leffler type and its application in the fractional diffusion-wave equation
-
doi:10.1016/j.chaos.2005.08.151
-
Yu, R. and Zhang, H. 2006 New function of Mittag-Leffler type and its application in the fractional diffusion-wave equation. Chaos Solitons Fractals 30, 946-955. (doi:10.1016/j.chaos.2005.08.151)
-
(2006)
Chaos Solitons Fractals
, vol.30
, pp. 946-955
-
-
Yu, R.1
Zhang, H.2
|