-
2
-
-
65049084831
-
-
World Scientific, Singapore
-
D. Baleanu, K. Diethelm, E. Scalas and J. J. Trujillo, Fractional Calculus. Models and Numerical Methods, World Scientific, Singapore, 2012.
-
(2012)
Fractional Calculus. Models and Numerical Methods
-
-
Baleanu, D.1
Diethelm, K.2
Scalas, E.3
Trujillo, J.J.4
-
3
-
-
77953157380
-
Poisson-type processes governed by fractional and higher-order recursive differential equations
-
L. Beghin and E. Orsingher, Poisson-type processes governed by fractional and higher-order recursive differential equations, Electron. J. Probab., 15 (2010), 684-709.
-
(2010)
Electron. J. Probab.
, vol.15
, pp. 684-709
-
-
Beghin, L.1
Orsingher, E.2
-
4
-
-
79953685491
-
Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics
-
[E-print arxiv.org/abs/1106.1761]
-
E. Capelas de Oliveira, F. Mainardi and J. Vaz Jr, Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics, Eur. Phys. J., Special Topics, 193 (2011) 161-171. [E-print arxiv.org/abs/1106.1761]
-
(2011)
Eur. Phys. J., Special Topics
, vol.193
, pp. 161-171
-
-
Capelas De Oliveira, E.1
Mainardi, F.2
Vaz, J.3
-
6
-
-
84869187898
-
-
Reprinted in
-
Reprinted in Fract. Calc. Appl. Anal., 10 (2007), 309-324.
-
(2007)
Fract. Calc. Appl. Anal.
, vol.10
, pp. 309-324
-
-
-
7
-
-
51649182765
-
Linear models of dissipation in anelastic solids
-
M. Caputo and F. Mainardi, Linear models of dissipation in anelastic solids, Riv. Nuovo Cimento (Ser. II), 1 (1971), 161-198.
-
(1971)
Riv. Nuovo Cimento (Ser. II)
, vol.1
, pp. 161-198
-
-
Caputo, M.1
Mainardi, F.2
-
8
-
-
51149207143
-
Dispersion and absorption in dielectrics, II. Direct current characteristics
-
K. S. Cole and R. H. Cole, Dispersion and absorption in dielectrics, II. Direct current characteristics, J. Chemical Physics, 10 (1942), 98-105.
-
(1942)
J. Chemical Physics
, vol.10
, pp. 98-105
-
-
Cole, K.S.1
Cole, R.H.2
-
12
-
-
0003864328
-
-
Based, in part, on notes left by Harry Bateman. McGraw-Hill Book Company, Inc., New York-Toronto-London
-
A. Erdélyi, W. Magnus, F. Oberhettinger and F. G. Tricomi, Higher Transcendental Functions, Vol. III. Based, in part, on notes left by Harry Bateman. McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955.
-
(1955)
Higher Transcendental Functions
, vol.3
-
-
Erdélyi, A.1
Magnus, W.2
Oberhettinger, F.3
Tricomi, F.G.4
-
13
-
-
0003421261
-
-
Second Edition, Wiley, New York
-
W. Feller, An Introduction to Probability Theory and its Applications, Vol. II, Second Edition, Wiley, New York, 1971.
-
(1971)
An Introduction to Probability Theory and Its Applications
, vol.2
-
-
Feller, W.1
-
14
-
-
85083932254
-
-
First Annual Report, NASA/TM-2002-211914, Gleen Research Center
-
A. Freed, K. Diethelm and Y. Luchko, Fractional-order Viscoelasticity (FOV): Constitutive Development using the Fractional Calculus, First Annual Report, NASA/TM-2002-211914, Gleen Research Center, 2002, pp. XIV-121.
-
(2002)
Fractional-order Viscoelasticity (FOV): Constitutive Development Using the Fractional Calculus
, pp. XIV-121
-
-
Freed, A.1
Diethelm, K.2
Luchko, Y.3
-
15
-
-
2942584456
-
Computation of the Mittag-Leffler function and Its derivatives
-
R. Gorenflo, J. Loutchko and Y. Luchko, Computation of the Mittag-Leffler function and its derivatives, Fract. Calc. Appl. Anal., 5 (2002), 491-518.
-
(2002)
Fract. Calc. Appl. Anal.
, vol.5
, pp. 491-518
-
-
Gorenflo, R.1
Loutchko, J.2
Luchko, Y.3
-
16
-
-
0001983732
-
Fractional calculus: Integral and differential equations of fractional order
-
(eds. A. Carpinteri and F. Mainardi), Springer Verlag, Wien [E-print arxiv.org/abs/0805.3823]
-
R. Gorenflo and F. Mainardi, Fractional calculus: Integral and differential equations of fractional order, in Fractals and Fractional Calculus in Continuum Mechanics, (eds. A. Carpinteri and F. Mainardi), Springer Verlag, Wien, 1997, pp. 223-276. [E-print arxiv.org/abs/0805.3823]
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 223-276
-
-
Gorenflo, R.1
Mainardi, F.2
-
17
-
-
36849117395
-
On creep and relaxation
-
B. Gross, On creep and relaxation, J. Appl. Phys., 18 (1947), 212-221.
-
(1947)
J. Appl. Phys.
, vol.18
, pp. 212-221
-
-
Gross, B.1
-
19
-
-
0001233578
-
On the theory of linear integral equations
-
E. Hille and J. D. Tamarkin, On the theory of linear integral equations, Ann. Math., 31 (1930), 479-528.
-
(1930)
Ann. Math.
, vol.31
, pp. 479-528
-
-
Hille, E.1
Tamarkin, J.D.2
-
20
-
-
84879636146
-
Multi-parametric Mittag-Leffler functions and their extensions
-
A. A. Kilbas, A. A. Koroleva and S. V. Rogosin, Multi-parametric Mittag-Leffler functions and their extensions, Fract. Calc. Appl. Anal., 16 (2013), 378-404.
-
(2013)
Fract. Calc. Appl. Anal.
, vol.16
, pp. 378-404
-
-
Kilbas, A.A.1
Koroleva, A.A.2
Rogosin, S.V.3
-
21
-
-
84972493974
-
On solution of integral equations of Abel-Volterra type
-
A. A. Kilbas and M. Saigo, On solution of integral equations of Abel-Volterra type, Differential and Integral Equations, 8 (1995), 993-1011.
-
(1995)
Differential and Integral Equations
, vol.8
, pp. 993-1011
-
-
Kilbas, A.A.1
Saigo, M.2
-
25
-
-
76449114769
-
The multi-index Mittag-Leffler functions as important class of special functions of fractional calculus
-
V. Kiryakova, The multi-index Mittag-Leffler functions as important class of special functions of fractional calculus, Comp. Math. Appl., 59 (2010), 1885-1895.
-
(2010)
Comp. Math. Appl.
, vol.59
, pp. 1885-1895
-
-
Kiryakova, V.1
-
26
-
-
79251574147
-
The multi-index Mittag-Leffler functions and their applications for solving fractional order problems in applied analysis
-
V. Kiryakova and Y. Luchko, The multi-index Mittag-Leffler functions and their applications for solving fractional order problems in applied analysis, In American Institute of Physics - Conf. Proc., 1301 (2010), 597-613.
-
(2010)
American Institute of Physics - Conf. Proc.
, vol.1301
, pp. 597-613
-
-
Kiryakova, V.1
Luchko, Y.2
-
27
-
-
84973163646
-
-
Recent Advances, World Scientific, Singapore
-
J. Klafter, S. C. Lim and R. Metzler (Editors), Fractional Dynamics, Recent Advances, World Scientific, Singapore, 2012.
-
(2012)
Fractional Dynamics
-
-
Klafter, J.1
Lim, S.C.2
Metzler, R.3
-
30
-
-
67649154697
-
Time-fractional derivatives in relaxation processes: A tutorial survey
-
F. Mainardi and R. Gorenflo, Time-fractional derivatives in relaxation processes: A tutorial survey, Fract. Calc. Appl. Anal., 10 (2007), 269-308.
-
(2007)
Fract. Calc. Appl. Anal.
, vol.10
, pp. 269-308
-
-
Mainardi, F.1
Gorenflo, R.2
-
39
-
-
0003598080
-
-
Gordon and Breach, Amsterdam [English translation and revised version from the Russian edition, Integrals and Derivatives of Fractional Order and Some of Their Applications 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, Amsterdam, 1993. [English translation and revised version from the Russian edition, Integrals and Derivatives of Fractional Order and Some of Their Applications Nauka i Tekhnika, Minsk, 1987]
-
(1993)
Fractional Integrals and Derivatives, Theory and Applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
40
-
-
84869153006
-
Velocity and displacement correlation functions for fractional generalized Langevin equations
-
T. Sandev, R. Metzler and Z. Tomovski, Velocity and displacement correlation functions for fractional generalized Langevin equations, Fract. Calc. Appl. Anal., 15 (2012), 426-450.
-
(2012)
Fract. Calc. Appl. Anal.
, vol.15
, pp. 426-450
-
-
Sandev, T.1
Metzler, R.2
Tomovski, Z.3
-
41
-
-
0003401591
-
-
Holomorphic Functions, Nordhoff, Groningen
-
G. Sansone and J. Gerretsen, Lectures on the Theory of Functions of a Complex Variable, Vol. I. Holomorphic Functions, Nordhoff, Groningen, 1960.
-
(1960)
Lectures on the Theory of Functions of a Complex Variable
, vol.1
-
-
Sansone, G.1
Gerretsen, J.2
-
42
-
-
68749084697
-
-
2-nd ed., De Gruyter, Berlin
-
R. L. Schilling, R. Song and Z. Vondraček, Bernstein Functions. Theory and Applications, 2-nd ed., De Gruyter, Berlin, 2012.
-
(2012)
Bernstein Functions. Theory and Applications
-
-
Schilling, R.L.1
Song, R.2
Vondraček, Z.3
-
43
-
-
84893454579
-
Comparing Fréchet and positive stable laws
-
[E-print arXiv:1310.1888]
-
T. Simon, Comparing Fréchet and positive stable laws, Electron. J. Probab., 19 (2014), 1-25. [E-print arXiv:1310.1888]
-
(2014)
Electron. J. Probab.
, vol.19
, pp. 1-25
-
-
Simon, T.1
-
45
-
-
36049040387
-
Padè approximants of the Mittag-Leffler functions
-
A. P. Starovoitov and N. A. Starovoitova, Padè approximants of the Mittag-Leffler functions, Sbornik Mathematics, 198 (2007), 1011-1023.
-
(2007)
Sbornik Mathematics
, vol.198
, pp. 1011-1023
-
-
Starovoitov, A.P.1
Starovoitova, N.A.2
-
47
-
-
78049494452
-
Fractional and operational calculus with generalized fractional derivative operators and Mittag-Leffler type functions
-
Z. Tomovski, R. Hilfer and H. M. Srivastava, Fractional and operational calculus with generalized fractional derivative operators and Mittag-Leffler type functions, Integral Transforms and Special Functions, 21 (2010), 797-814.
-
(2010)
Integral Transforms and Special Functions
, vol.21
, pp. 797-814
-
-
Tomovski, Z.1
Hilfer, R.2
Srivastava, H.M.3
-
49
-
-
0036018194
-
Exponential asymptotics of the Mittag-Leffler function
-
R. Wong and Y.-Q. Zhao, Exponential asymptotics of the Mittag-Leffler function, Constructive Approximation, 18 (2002), 355-385.
-
(2002)
Constructive Approximation
, vol.18
, pp. 355-385
-
-
Wong, R.1
Zhao, Y.-Q.2
|