-
1
-
-
0032324531
-
Application of fractional calculus to viscoelastic behaviour modelling and to the physical ageing phenomenon in glassy amorphous polymers
-
M. Alcoutlabi, and J.J. Martinez-Vega Application of fractional calculus to viscoelastic behaviour modelling and to the physical ageing phenomenon in glassy amorphous polymers Polymer 39 1998 6269 6277
-
(1998)
Polymer
, vol.39
, pp. 6269-6277
-
-
Alcoutlabi, M.1
Martinez-Vega, J.J.2
-
2
-
-
0007042083
-
Nonlinear oscillation with fractional derivative and its applications
-
Dalian, China
-
J.H. He, Nonlinear oscillation with fractional derivative and its applications, in: International Conference on Vibrating Engineering, vol. 98, Dalian, China, 1998, pp. 288291.
-
(1998)
International Conference on Vibrating Engineering
, vol.98
, pp. 288-291
-
-
He, J.H.1
-
3
-
-
0347763940
-
Some applications of nonlinear fractional differential equations and their approximations
-
J.H. He Some applications of nonlinear fractional differential equations and their approximations Bull. Sci. Technol. 15 2 1999 86 90
-
(1999)
Bull. Sci. Technol.
, vol.15
, Issue.2
, pp. 86-90
-
-
He, J.H.1
-
4
-
-
35349007529
-
Generalized differential transform method for solving a space and time-fractional diffusion-wave equation
-
S. Momani, Z. Odibat, and V.S. Erturk Generalized differential transform method for solving a space and time-fractional diffusion-wave equation Phys. Lett. A 370 56 2007 379 387
-
(2007)
Phys. Lett. A
, vol.370
, Issue.56
, pp. 379-387
-
-
Momani, S.1
Odibat, Z.2
Erturk, V.S.3
-
5
-
-
34250647432
-
An approximation solution of a nonlinear equation with RiemannLiouville's fractional derivatives by He's variational iteration method
-
S. Abbasbandy An approximation solution of a nonlinear equation with RiemannLiouville's fractional derivatives by He's variational iteration method J. Comput. Appl. Math. 207 2007 53 58
-
(2007)
J. Comput. Appl. Math.
, vol.207
, pp. 53-58
-
-
Abbasbandy, S.1
-
6
-
-
35349007940
-
Numerical studies for a multi-order fractional differential equation
-
N.H. Sweilam, M.M. Khader, and R.F. Al-Bar Numerical studies for a multi-order fractional differential equation Phys. Lett. A 371 12 2007 26 33
-
(2007)
Phys. Lett. A
, vol.371
, Issue.12
, pp. 26-33
-
-
Sweilam, N.H.1
Khader, M.M.2
Al-Bar, R.F.3
-
7
-
-
33748901201
-
The adomian decomposition method for solving partial differential equations of fractal order in finite domains
-
A.M.A. El-Sayed, and M. Gaber The adomian decomposition method for solving partial differential equations of fractal order in finite domains Phys. Lett. A 359 3 2006 175 182
-
(2006)
Phys. Lett. A
, vol.359
, Issue.3
, pp. 175-182
-
-
El-Sayed, A.M.A.1
Gaber, M.2
-
8
-
-
33746218471
-
Solving a system of nonlinear fractional differential equations using Adomian decomposition
-
DOI 10.1016/j.cam.2005.10.017, PII S0377042705006278
-
H. Jafari, and V. Daftardar-Gejji Solving a system of nonlinear fractional differential equations using adomian decomposition J. Comput. Appl. Math. 196 2 2006 644 651 (Pubitemid 44093887)
-
(2006)
Journal of Computational and Applied Mathematics
, vol.196
, Issue.2
, pp. 644-651
-
-
Jafari, H.1
Daftardar-Gejji, V.2
-
9
-
-
0043044718
-
Numerical solution of fractional order differential equations by extrapolation
-
K. Diethelm, and G. Walz Numerical solution of fractional order differential equations by extrapolation Numer. Algorithms 16 34 1997 231 253 (Pubitemid 127429647)
-
(1997)
Numerical Algorithms
, vol.16
, Issue.3-4
, pp. 231-253
-
-
Diethelm, K.1
Walz, G.2
-
10
-
-
34247395044
-
Homotopy perturbation method for nonlinear partial differential equations of fractional order
-
S. Momani, and Z. Odibat Homotopy perturbation method for nonlinear partial differential equations of fractional order Phys. Lett. A 365 2007 345 350
-
(2007)
Phys. Lett. A
, vol.365
, pp. 345-350
-
-
Momani, S.1
Odibat, Z.2
-
11
-
-
34250215244
-
Solution of fractional differential equations by using differential transform method
-
A. Arikoglu, and I. Ozkol Solution of fractional differential equations by using differential transform method Chaos Solitons Fractals 34 5 2007 1473 1481
-
(2007)
Chaos Solitons Fractals
, vol.34
, Issue.5
, pp. 1473-1481
-
-
Arikoglu, A.1
Ozkol, I.2
-
13
-
-
0019659830
-
An operational approach to the Tau method for the numerical solution of nonlinear differential equations
-
E.L. Ortiz, and H. Samara An operational approach to the Tau method for the numerical solution of nonlinear differential equations Computing 27 1 1981 15 25 (Pubitemid 12519953)
-
(1981)
Computing (Vienna/New York)
, vol.27
, Issue.1
, pp. 15-25
-
-
Ortiz, E.L.1
Samara, H.2
-
14
-
-
0020905495
-
Numerical solution of differential eigenvalue problems with an operational approach to the Tau method
-
E.L. Ortiz, and H. Samara Numerical solution of differential eigenvalue problems with an operational approach to the Tau method Computing 31 2 1983 95 103 (Pubitemid 14472687)
-
(1983)
Computing (Vienna/New York)
, vol.31
, Issue.2
, pp. 95-103
-
-
Ortiz, E.L.1
Samara, H.2
-
15
-
-
4244163123
-
Numerical solution of nonlinear partial differential equations with the Tau method
-
Proceedings of the International Conference on Computational and Applied Mathematics, Leuven, 1984
-
E.L. Ortiz, and K.S. Pun Numerical solution of nonlinear partial differential equations with the Tau method Proceedings of the International Conference on Computational and Applied Mathematics Leuven, 1984 J. Comput. Appl. Math. 1213 1985 511 516
-
(1985)
J. Comput. Appl. Math.
, vol.1213
, pp. 511-516
-
-
Ortiz, E.L.1
Pun, K.S.2
-
16
-
-
0031537729
-
Iterated solutions of linear operator equations with the Tau method
-
M.K. El-Daou, and H.G. Khajah Iterated solutions of linear operator equations with the Tau method Math. Comp. 66 217 1997 207 213
-
(1997)
Math. Comp.
, vol.66
, Issue.217
, pp. 207-213
-
-
El-Daou, M.K.1
Khajah, H.G.2
-
17
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent. Part II
-
M. Caputo Linear models of dissipation whose Q is almost frequency independent. Part II Geophys. J. R. Astron. Soc. 13 1967 529 539
-
(1967)
Geophys. J. R. Astron. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
21
-
-
0004055819
-
-
second ed. Birkhuser Boston, Inc. Boston, MA
-
R.P. Kanwal Linear Integral Equations second ed. 1971 Birkhuser Boston, Inc. Boston, MA
-
(1971)
Linear Integral Equations
-
-
Kanwal, R.P.1
-
22
-
-
0003258602
-
The generalized hardy operator with kernel and variable integral limits in Banach function spaces
-
A. Gogatishvill, and J. Lang The generalized hardy operator with kernel and variable integral limits in Banach function spaces J. Inequal. Appl. 4 1 1999 1 16
-
(1999)
J. Inequal. Appl.
, vol.4
, Issue.1
, pp. 1-16
-
-
Gogatishvill, A.1
Lang, J.2
-
23
-
-
77952816520
-
Convergence analysis of the Jacobi spectral collocation methods for Volterra integral equations with a weakly singular kernel
-
Y. Chen, and T. Tang Convergence analysis of the Jacobi spectral collocation methods for Volterra integral equations with a weakly singular kernel Math. Comp. 79 269 2010 147 167
-
(2010)
Math. Comp.
, vol.79
, Issue.269
, pp. 147-167
-
-
Chen, Y.1
Tang, T.2
-
24
-
-
0242447633
-
Linear Operator Theory in Engineering and Science
-
second ed. Springer-Verlag New York, Berlin
-
A.W. Naylor, and G.R. Sell Linear Operator Theory in Engineering and Science second ed. Applied Mathematical Sciences vol. 40 1982 Springer-Verlag New York, Berlin
-
(1982)
Applied Mathematical Sciences
, vol.40
-
-
Naylor, A.W.1
Sell, G.R.2
-
25
-
-
61549094949
-
Generalized Jacobi polynomials/functions and their applications
-
Ben-Yu Guo, Jie Shen, and Li-Lian Wang Generalized Jacobi polynomials/functions and their applications Appl. Numer. Math. 59 5 2009 1011 1028
-
(2009)
Appl. Numer. Math.
, vol.59
, Issue.5
, pp. 1011-1028
-
-
Guo, B.-Y.1
Shen, J.2
Wang, L.-L.3
-
27
-
-
33748425302
-
Numerical comparison of methods for solving linear differential equations of fractional order
-
S. Momani, and Z. Odibat Numerical comparison of methods for solving linear differential equations of fractional order Chaos Solitons Fractals 31 5 2007 1248 1255
-
(2007)
Chaos Solitons Fractals
, vol.31
, Issue.5
, pp. 1248-1255
-
-
Momani, S.1
Odibat, Z.2
-
28
-
-
9744276851
-
Numerical methods for multi-term fractional (arbitrary) orders differential equations
-
A.E.M. El-Mesiry, A.M.A. El-Sayed, and H.A.A. El-Saka Numerical methods for multi-term fractional (arbitrary) orders differential equations Appl. Math. Comput. 160 3 2005 683 699
-
(2005)
Appl. Math. Comput.
, vol.160
, Issue.3
, pp. 683-699
-
-
El-Mesiry, A.E.M.1
El-Sayed, A.M.A.2
El-Saka, H.A.A.3
-
29
-
-
0028750042
-
The ChebyshevLegendre method: Implementing Legendre methods on Chebyshev points
-
W. Sun Don, and D. Gottlieb The ChebyshevLegendre method: implementing Legendre methods on Chebyshev points SIAM J. Numer. Anal. 31 6 1994 1519 1534 (English summary)
-
(1994)
SIAM J. Numer. Anal.
, vol.31
, Issue.6
, pp. 1519-1534
-
-
Sun Don, W.1
Gottlieb, D.2
-
30
-
-
0000944835
-
A fast algorithm for the evaluation of Legendre expansions
-
B.K. Alpert, and V. Rokhlin A fast algorithm for the evaluation of Legendre expansions SIAM J. Sci. Stat. Comput. 12 1 1991 158 179
-
(1991)
SIAM J. Sci. Stat. Comput.
, vol.12
, Issue.1
, pp. 158-179
-
-
Alpert, B.K.1
Rokhlin, V.2
|