-
1
-
-
0020765202
-
Theoretical basis for the application of fractional calculus to viscoelasticity
-
DOI 10.1122/1.549724
-
R.L. Bagley, and P.J. Torvik A theoretical basis for the application of fractional calculus to viscoelasticity J. Rheol. 27 1983 201 210 (Pubitemid 13540406)
-
(1983)
Journal of Rheology
, vol.27
, Issue.3
, pp. 201-210
-
-
Bagley, R.L.1
Torvik, P.J.2
-
2
-
-
36849124387
-
Thermoelasticity and irreversible thermodynamics
-
M. Biot Thermoelasticity and irreversible thermodynamics J. Appl. Phys. 27 1956 240 253
-
(1956)
J. Appl. Phys.
, vol.27
, pp. 240-253
-
-
Biot, M.1
-
3
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent II
-
M. Caputo Linear models of dissipation whose Q is almost frequency independent II Geophys. J. R. Astron. Soc. 13 1967 529 539
-
(1967)
Geophys. J. R. Astron. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
4
-
-
51649182765
-
Linear model of dissipation in anelastic solids
-
M. Caputo, and F. Mainardi Linear model of dissipation in anelastic solids Riv. Nuovo cimento 1 1971 161 198
-
(1971)
Riv. Nuovo Cimento
, vol.1
, pp. 161-198
-
-
Caputo, M.1
Mainardi, F.2
-
5
-
-
0016103247
-
Vibrations on an infinite viscoelastic layer with a dissipative Memory
-
M. Caputo Vibrations on an infinite viscoelastic layer with a dissipative Memory J. Acoust. Soc. Am. 56 1974 897 904
-
(1974)
J. Acoust. Soc. Am.
, vol.56
, pp. 897-904
-
-
Caputo, M.1
-
6
-
-
0000366367
-
Sur une forme de l'équation de la Chaleur éliminant le paradoxe d'une propagation instantaneée
-
C. Cattaneo Sur une forme de l'équation de la Chaleur éliminant le paradoxe d'une propagation instantaneée C.R. Acad. Sci. 247 1958 431 433
-
(1958)
C.R. Acad. Sci.
, vol.247
, pp. 431-433
-
-
Cattaneo, C.1
-
7
-
-
9944261982
-
Discontinuities in generalized thermo-viscoelasticity under four theories
-
A.S. El-Karamany, and M.A. Ezzatt Discontinuities in generalized thermo-viscoelasticity under four theories J. Therm. Stress 27 2004 1187 1212
-
(2004)
J. Therm. Stress
, vol.27
, pp. 1187-1212
-
-
El-Karamany, A.S.1
Ezzatt, M.A.2
-
8
-
-
0031237403
-
Generation of generalized magnetothermoelastic waves by thermal shock in a perfectly conducting half-space
-
M.A. Ezzat Generation of generalized magnetothermoelastic waves by thermal shock in a perfectly conducting half-space J. Therm. Stress 20 1997 617 633 (Pubitemid 127628887)
-
(1997)
Journal of Thermal Stresses
, vol.20
, Issue.6
, pp. 617-633
-
-
Ezzat, M.A.1
-
10
-
-
57349137504
-
State space approach to solids and fluids
-
M.A. Ezzat State space approach to solids and fluids Can. J. Phys. 86 2008 1241 1250
-
(2008)
Can. J. Phys.
, vol.86
, pp. 1241-1250
-
-
Ezzat, M.A.1
-
11
-
-
77957168518
-
Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer
-
M.A. Ezzat Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer Physica B 405 2010 4188 4194
-
(2010)
Physica B
, vol.405
, pp. 4188-4194
-
-
Ezzat, M.A.1
-
12
-
-
58149250225
-
Micropolar generalized magneto-thermoelasticity with modified Ohm's and Fourier's laws
-
M.A. Ezzat, and E.S. Awad Micropolar generalized magneto-thermoelasticity with modified Ohm's and Fourier's laws J. Math. Anal. 353 2009 99 113
-
(2009)
J. Math. Anal.
, vol.353
, pp. 99-113
-
-
Ezzat, M.A.1
Awad, E.S.2
-
13
-
-
77951760989
-
Influence of thermoelectricity properties on magneto-viscothermoelastic material
-
M.A. Ezzat, and H.M. Atef Influence of thermoelectricity properties on magneto-viscothermoelastic material J. Poly. Eng. 30 2010 35 61
-
(2010)
J. Poly. Eng.
, vol.30
, pp. 35-61
-
-
Ezzat, M.A.1
Atef, H.M.2
-
14
-
-
60449085028
-
State space approach of two-temperature magneto-thermoelasticity with thermal relaxation in a medium of perfect conductivity
-
M.A. Ezzat, and A.A. El Bary State space approach of two-temperature magneto-thermoelasticity with thermal relaxation in a medium of perfect conductivity Int. J. Eng. Sci. 47 2009 618 630
-
(2009)
Int. J. Eng. Sci.
, vol.47
, pp. 618-630
-
-
Ezzat, M.A.1
El Bary, A.A.2
-
15
-
-
33644672654
-
Propagation of discontinuities in Magneto-thermoelastic half-space
-
DOI 10.1080/01495730500360526, PII T448885841318
-
M.A. Ezzat, and A.S. El Karamany Propagation of discontinuities in magneto- thermoelastic half-space J. Therm. Stress 29 2006 331 358 (Pubitemid 43328770)
-
(2006)
Journal of Thermal Stresses
, vol.29
, Issue.4
, pp. 331-358
-
-
Ezzat, M.A.1
El-Karamany, A.S.2
-
16
-
-
24944548647
-
Generalized magneto-thermoelasticity in a perfectly conducting medium
-
DOI 10.1016/j.ijsolstr.2005.03.065, PII S0020768305001897
-
M.A. Ezzat, and H.M. Youssef Generalized magneto-thermoelasticity in a perfectly conducting medium Int. J. Solids. Struct 42 2005 6319 6334 (Pubitemid 41329221)
-
(2005)
International Journal of Solids and Structures
, vol.42
, Issue.24-25
, pp. 6319-6334
-
-
Ezzat, M.A.1
Youssef, H.M.2
-
17
-
-
70449556410
-
State space approach for conducting magneto-thermoelastic medium with variable electrical and thermal conductivity subjected to ramp-type heating
-
M.A. Ezzat, and H.M. Youssef State space approach for conducting magneto-thermoelastic medium with variable electrical and thermal conductivity subjected to ramp-type heating J. Therm. Stress 32 2009 414 427
-
(2009)
J. Therm. Stress
, vol.32
, pp. 414-427
-
-
Ezzat, M.A.1
Youssef, H.M.2
-
18
-
-
77449088052
-
Stokes' first problem for an electro-conducting micropolar fluid with thermoelectric properties
-
M.A. Ezzat, and H.M. Youssef Stokes' first problem for an electro-conducting micropolar fluid with thermoelectric properties Can. J. Phys. 88 2010 35 48
-
(2010)
Can. J. Phys.
, vol.88
, pp. 35-48
-
-
Ezzat, M.A.1
Youssef, H.M.2
-
19
-
-
76149099909
-
Generalized magneto-thermoelasticity with modified Ohm's Law
-
M.A. Ezzat, and M.A. Zakaria Generalized magneto-thermoelasticity with modified Ohm's Law Mech. Adv. Mater. Struct. 17 2010 74 84
-
(2010)
Mech. Adv. Mater. Struct.
, vol.17
, pp. 74-84
-
-
Ezzat, M.A.1
Zakaria, M.A.2
-
20
-
-
0036027822
-
State space approach to generalized thermo-viscoelasticity with two relaxation times
-
DOI 10.1016/S0020-7225(01)00045-3, PII S0020722501000453
-
M.A. Ezzat, M.I. Othman, and A.S. El-Karamany State space approach to generalized thermoviscoelasticity with two relaxation times Int. J. Eng. Sci. 40 2002 283 302 (Pubitemid 32997733)
-
(2002)
International Journal of Engineering Science
, vol.40
, Issue.3
, pp. 283-302
-
-
Ezzat, M.A.1
Othman, M.I.2
El-Karamany, A.S.3
-
21
-
-
76749120939
-
Effects of modified Ohm's and Fourier's laws on generalized magneto-viscoelastic thermoelasticity with relaxation volume properties
-
M.A. Ezzat, M. Zakaria, and A.S. El-Karamany Effects of modified Ohm's and Fourier's laws on generalized magneto-viscoelastic thermoelasticity with relaxation volume properties Int. J. Eng. Sci. 48 2010 460 472
-
(2010)
Int. J. Eng. Sci.
, vol.48
, pp. 460-472
-
-
Ezzat, M.A.1
Zakaria, M.2
El-Karamany, A.S.3
-
23
-
-
84972547716
-
Integrodifferential equation which interpolates the heat equation and wave equation (I)
-
Y. Fujita Integrodifferential equation which interpolates the heat equation and wave equation (I) Osaka J. Math. 27 1990 309 321
-
(1990)
Osaka J. Math.
, vol.27
, pp. 309-321
-
-
Fujita, Y.1
-
24
-
-
84972571026
-
Integrodifferential equation which interpolates the heat equation and wave equation (II)
-
Y. Fujita Integrodifferential equation which interpolates the heat equation and wave equation (II) Osaka J. Math. 27 1990 797 804
-
(1990)
Osaka J. Math.
, vol.27
, pp. 797-804
-
-
Fujita, Y.1
-
28
-
-
0021375050
-
Method for the numerical inversion of the Laplace transform
-
DOI 10.1016/0377-0427(84)90075-X
-
G. Honig, and U. Hirdes A method for the numerical inversion of the Laplace transform J. Comput. Appl. Math. 10 1984 113 132 (Pubitemid 14569701)
-
(1984)
Journal of Computational and Applied Mathematics
, vol.10
, Issue.1
, pp. 113-132
-
-
Honig, G.1
Hirdes, U.2
-
29
-
-
0141974733
-
Combined elastic and electro-magnetic waves produced by thermal shock in the case of a medium of finite electric conductivity
-
S. Kaliski, and W. Nowacki Combined elastic and electro-magnetic waves produced by thermal shock in the case of a medium of finite electric conductivity Int. J. Eng. Sci. 1 1963 163 175
-
(1963)
Int. J. Eng. Sci.
, vol.1
, pp. 163-175
-
-
Kaliski, S.1
Nowacki, W.2
-
30
-
-
0036829341
-
Strange kinetics, porous media, and NMR
-
R. Kimmich Strange kinetics, porous media, and NMR J. Chem. Phys. 284 2002 243 285
-
(2002)
J. Chem. Phys.
, vol.284
, pp. 243-285
-
-
Kimmich, R.1
-
31
-
-
0003223705
-
Generalized fractional calculus and applications
-
Longman-Wiley New York
-
V. Kiryakova Generalized fractional calculus and applications Pitman Research Notes in Mathematics Series vol. 301 1994 Longman-Wiley New York
-
(1994)
Pitman Research Notes in Mathematics Series
, vol.301
-
-
Kiryakova, V.1
-
32
-
-
0021440218
-
Applications of fractional calculus to the theory of viscoelasticity
-
R.C. Koeller Applications of fractional calculus to the theory of viscoelasticity Trans. ASME J. Appl. Mech. 51 1984 299 307 (Pubitemid 14583151)
-
(1984)
Journal of Applied Mechanics, Transactions ASME
, vol.51
, Issue.2
, pp. 299-307
-
-
Koeller, R.C.1
-
34
-
-
74249118189
-
Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio
-
G. Jumarie Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio Comput. Math.Appl. 59 2010 1142 1164
-
(2010)
Comput. Math.Appl.
, vol.59
, pp. 1142-1164
-
-
Jumarie, G.1
-
36
-
-
49949149766
-
A generalized dynamical theory of thermoelasticity
-
H.W. Lord, and Y. Shulman A generalized dynamical theory of thermoelasticity J. Mech. Phys. Solids 15 1967 299 309
-
(1967)
J. Mech. Phys. Solids
, vol.15
, pp. 299-309
-
-
Lord, H.W.1
Shulman, Y.2
-
37
-
-
0001983732
-
Fractional calculus: Some basic problems in continuum and statistical mechanics
-
F. Mainardi Fractional calculus: some basic problems in continuum and statistical mechanics A. Carpinteri, F. Mainardi, Fractals and Fractional Calculus in Continuum Mechanics 1997 Springer-Verlag New York 291 348
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 291-348
-
-
Mainardi, F.1
-
38
-
-
0000145521
-
On Mittag-Lettler-type function in fractional evolution processes
-
F. Mainardi, and R. Gorenflo On Mittag-Lettler-type function 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
-
39
-
-
0020501325
-
Coupled magnetothermoelastic problem in elastic half-space having finite conductivity
-
DOI 10.1016/0020-7225(83)90076-9
-
C. Massalas, and A. Dalamangas Coupled magnetothermoelastic problem in elastic half-space having finite conductivity Int. J. Eng. Sci. 21 1983 991 999 (Pubitemid 13571949)
-
(1983)
International Journal of Engineering Science
, vol.21
, Issue.8
, pp. 991-999
-
-
Massalas, C.1
Dalamangas, A.2
-
41
-
-
0038967505
-
Thermoelectric devices
-
D.T. Morelli Thermoelectric devices G.L. Trigg, E.H. Immergut, Encyclopedia of Applied Physics vol. 21 1997 Wiley-VCH New York 339 354
-
(1997)
Encyclopedia of Applied Physics
, vol.21
, pp. 339-354
-
-
Morelli, D.T.1
-
44
-
-
13844253772
-
Fractional heat conduction equation and associated thermal Stresses
-
Y.Z. Povstenko Fractional heat conduction equation and associated thermal Stresses J. Therm. Stress 28 2005 83 102
-
(2005)
J. Therm. Stress
, vol.28
, pp. 83-102
-
-
Povstenko, Y.Z.1
-
45
-
-
0030867045
-
Applications of fractional calculus to dynamic problems of linear and nonlinear hereditary mechanics of solids
-
A. Rossikhin Yu, and M.V. Shitikova Applications of fractional calculus to dynamic problems of linear and nonlinear heredity mechanics of solids Appl. Mech. Rev. 50 1997 15 67 (Pubitemid 127645586)
-
(1997)
Applied Mechanics Reviews
, vol.50
, Issue.1
, pp. 15-67
-
-
Rossikhin, Y.A.1
Shitikova, M.V.2
-
47
-
-
0019001895
-
Uniqueness theorem and a variational principle for generalized thermoelasticity
-
H. Sherief, and R. Dhaliwal A uniqueness theorem and a variational principle for generalized thermoelasticity J. Therm. Stress 3 1980 223 230 (Pubitemid 11437281)
-
(1980)
Journal of Thermal Stresses
, vol.3
, Issue.2
, pp. 223-230
-
-
Sherief Hani, H.1
Dhaliwal Ranjit, S.2
-
49
-
-
53049088436
-
Fractional vector calculus and fractional Maxwell's equations
-
V.E. Tarasov Fractional vector calculus and fractional Maxwell's equations Ann. Phys. 323 2008 2756 2778
-
(2008)
Ann. Phys.
, vol.323
, pp. 2756-2778
-
-
Tarasov, V.E.1
-
50
-
-
2142808852
-
A two-dimensional generalized thermal shock problem for a half space in electromagneto-thermoelasticity
-
H. Tianhu, S. Yapeng, and T. Xiaogeng A two-dimensional generalized thermal shock problem for a half space in electromagneto-thermoelasticity Int. J. Eng. Sci. 42 2004 809 823
-
(2004)
Int. J. Eng. Sci.
, vol.42
, pp. 809-823
-
-
Tianhu, H.1
Yapeng, S.2
Xiaogeng, T.3
-
51
-
-
77955283494
-
Theory of fractional order generalized thermoelasticity
-
H. Youssef Theory of fractional order generalized thermoelasticity J. Heat Transfer 132 2010 1 7
-
(2010)
J. Heat Transfer
, vol.132
, pp. 1-7
-
-
Youssef, H.1
|