-
2
-
-
10844270442
-
Application of fractional calculus to fluid mechanics
-
Kulish V.V., Lage José L. Application of fractional calculus to fluid mechanics. J Fluids Eng 2002, 124. 10.1115/1.1478062.
-
(2002)
J Fluids Eng
, vol.124
-
-
Kulish, V.V.1
Lage José, L.2
-
3
-
-
70350567183
-
Fractional differential equations in electrochemistry
-
Oldham K.B. Fractional differential equations in electrochemistry. Adv Eng Soft 2010, 41:9-12.
-
(2010)
Adv Eng Soft
, vol.41
, pp. 9-12
-
-
Oldham, K.B.1
-
5
-
-
0036650479
-
A predictor corrector approach for the numerical solution of fractional differential equation
-
Diethelm K., Ford N.J., Freed A.D. A predictor corrector approach for the numerical solution of fractional differential equation. Nonlin Dyn 2002, 29:3-22.
-
(2002)
Nonlin Dyn
, vol.29
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
7
-
-
67649224114
-
Solving fractional integral equations by the Haar wavelet method
-
Lepik Ü. Solving fractional integral equations by the Haar wavelet method. Appl Math Comp 2009, 214:468-478.
-
(2009)
Appl Math Comp
, vol.214
, pp. 468-478
-
-
Lepik, Ü.1
-
8
-
-
0030649749
-
Haar wavelet method for solving lumped and distributed-parameter systems
-
Chen C., Hsiao C. Haar wavelet method for solving lumped and distributed-parameter systems. IEE P-Contr Theor Ap 1997, 144:8794.
-
(1997)
IEE P-Contr Theor Ap
, vol.144
, pp. 8794
-
-
Chen, C.1
Hsiao, C.2
-
9
-
-
34247336205
-
Kronecker operational matrices for fractional calculus and some applications
-
Kilicman A., Al Zhour Z.A.A. Kronecker operational matrices for fractional calculus and some applications. Appl Math Comp 2007, 187:250-265.
-
(2007)
Appl Math Comp
, vol.187
, pp. 250-265
-
-
Kilicman, A.1
Al Zhour, Z.A.A.2
-
10
-
-
74249095517
-
A new operational matrix for solving fractional-order differential equations
-
Saadatmandi A., Dehghan M. A new operational matrix for solving fractional-order differential equations. Comp Math Appl 2010, 59:1326-1336.
-
(2010)
Comp Math Appl
, vol.59
, pp. 1326-1336
-
-
Saadatmandi, A.1
Dehghan, M.2
-
11
-
-
77953135236
-
Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
-
Li Yuanlu, Zhao Weiwei Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations. Appl Math Comput 2010, 216:2276-2285.
-
(2010)
Appl Math Comput
, vol.216
, pp. 2276-2285
-
-
Li, Y.1
Zhao, W.2
-
12
-
-
77949492283
-
Solving a nonlinear fractional differential equation using Chebyshev wavelets
-
Li Yuanlu Solving a nonlinear fractional differential equation using Chebyshev wavelets. Commun Nonl Sci Num Sim 2010, 15:2284-2292.
-
(2010)
Commun Nonl Sci Num Sim
, vol.15
, pp. 2284-2292
-
-
Li, Y.1
-
13
-
-
77957338653
-
A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
-
Saeedi H., Mohseni Moghadam M., Mollahasani N., Chuev G.N. A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order. Commun Nonl Sci Num Sim 2011, 16:1154-1163.
-
(2011)
Commun Nonl Sci Num Sim
, vol.16
, pp. 1154-1163
-
-
Saeedi, H.1
Mohseni Moghadam, M.2
Mollahasani, N.3
Chuev, G.N.4
-
14
-
-
77957363391
-
Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets
-
Saeedi H., Mohseni Moghadam M. Numerical solution of nonlinear Volterra integro-differential equations of arbitrary order by CAS wavelets. Appl Math Comput 2011, 16:1216-1226.
-
(2011)
Appl Math Comput
, vol.16
, pp. 1216-1226
-
-
Saeedi, H.1
Mohseni Moghadam, M.2
-
15
-
-
79957904209
-
Legendre wavelet method for numerical solutions of partial differential equations
-
Liu N., Lin En-Bing Legendre wavelet method for numerical solutions of partial differential equations. SIAM J Math Anal 1998, 29:1040-1065.
-
(1998)
SIAM J Math Anal
, vol.29
, pp. 1040-1065
-
-
Liu, N.1
Lin, E.-B.2
-
16
-
-
33750454785
-
Legendre wavelets method for solving differential equations of Lane-Emden type
-
Ali Yousefi S. Legendre wavelets method for solving differential equations of Lane-Emden type. Appl Math Comp 2006, 181:417-1422.
-
(2006)
Appl Math Comp
, vol.181
, pp. 417-1422
-
-
Ali Yousefi, S.1
-
17
-
-
75649107646
-
Techniques for solving integral and differential equations by Legendre wavelets
-
Zheng X., Yang X. Techniques for solving integral and differential equations by Legendre wavelets. Int J Syst Sci 2009, 40:1127-1137.
-
(2009)
Int J Syst Sci
, vol.40
, pp. 1127-1137
-
-
Zheng, X.1
Yang, X.2
-
18
-
-
33947199780
-
Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets
-
Maleknejad K., Sohrabi S. Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets. Appl Math Comput 2007, 186:836-843.
-
(2007)
Appl Math Comput
, vol.186
, pp. 836-843
-
-
Maleknejad, K.1
Sohrabi, S.2
-
19
-
-
0035323556
-
The Legendre wavelets operational matrix of integration
-
Razzaghi M., Yousefi S. The Legendre wavelets operational matrix of integration. Int J Syst Sci 2001, 32:495-502.
-
(2001)
Int J Syst Sci
, vol.32
, pp. 495-502
-
-
Razzaghi, M.1
Yousefi, S.2
-
20
-
-
31944442864
-
The linear Legendre mother wavelets operational matrix of integration and its application
-
Khellat F., Yousefi S.A. The linear Legendre mother wavelets operational matrix of integration and its application. J Frank Inst 2006, 343:181-190.
-
(2006)
J Frank Inst
, vol.343
, pp. 181-190
-
-
Khellat, F.1
Yousefi, S.A.2
-
21
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent. Part II
-
Caputo M. Linear models of dissipation whose Q is almost frequency independent. Part II. J Roy Austral Soc 1967, 13:529-539.
-
(1967)
J Roy Austral Soc
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
23
-
-
25144460994
-
Positive solutions for boundary value problem of nonlinear fractional differential equation
-
Bai Z.B., Lü H.S. Positive solutions for boundary value problem of nonlinear fractional differential equation. J Math Anal Appl 2005, 311:495-505.
-
(2005)
J Math Anal Appl
, vol.311
, pp. 495-505
-
-
Bai, Z.B.1
Lü, H.S.2
-
24
-
-
55649098198
-
Boundary value problem for a coupled system of nonlinear fractional differential equations
-
Su X. Boundary value problem for a coupled system of nonlinear fractional differential equations. Appl Math Lett 2009, 22:64-69.
-
(2009)
Appl Math Lett
, vol.22
, pp. 64-69
-
-
Su, X.1
-
25
-
-
0021439912
-
On the appearance of the fractional derivative in the behavior of real materials
-
Bagley R.L., Torvik P.J. On the appearance of the fractional derivative in the behavior of real materials. ASME J Appl Mech 1984, 51:294-298.
-
(1984)
ASME J Appl Mech
, vol.51
, pp. 294-298
-
-
Bagley, R.L.1
Torvik, P.J.2
-
26
-
-
25644439033
-
Analytical solution of the Bagley-Torvik equation by Adomian decomposition method
-
Saha Ray S., Bera R.K. Analytical solution of the Bagley-Torvik equation by Adomian decomposition method. Appl Math Comp 2005, 168:398-410.
-
(2005)
Appl Math Comp
, vol.168
, pp. 398-410
-
-
Saha Ray, S.1
Bera, R.K.2
-
27
-
-
0012899160
-
Numerical solution of the Bagley-Torvik equation
-
Diethelm K., Ford N.J. Numerical solution of the Bagley-Torvik equation. Bit 2002, 42:490-507.
-
(2002)
Bit
, vol.42
, pp. 490-507
-
-
Diethelm, K.1
Ford, N.J.2
-
28
-
-
70449122559
-
General solution of the Bagley-Torvik equation with fractional-order derivative
-
Wang Z.H., Wang X. General solution of the Bagley-Torvik equation with fractional-order derivative. Commun Nonlin Sci Num Simul 2010, 15:1279-1285.
-
(2010)
Commun Nonlin Sci Num Simul
, vol.15
, pp. 1279-1285
-
-
Wang, Z.H.1
Wang, X.2
-
29
-
-
33745712076
-
An approximate method for numerical solution of fractional differential equations
-
Kumar P., Agrawal O.P. An approximate method for numerical solution of fractional differential equations. Signal Process 2006, 86:2602-2610.
-
(2006)
Signal Process
, vol.86
, pp. 2602-2610
-
-
Kumar, P.1
Agrawal, O.P.2
-
30
-
-
39149140685
-
Application of generalized differential transform method to multi-order fractional differential equations
-
Erturk V.S., Momani S., Odibat Z. Application of generalized differential transform method to multi-order fractional differential equations. Commun Nonlin Sci Num Simul 2008, 13:1642-1654.
-
(2008)
Commun Nonlin Sci Num Simul
, vol.13
, pp. 1642-1654
-
-
Erturk, V.S.1
Momani, S.2
Odibat, Z.3
-
31
-
-
0035881879
-
Dynamics of the fractional oscillator
-
Narahari Achar B.N., Hanneken J.W., Enck T., Clarke T. Dynamics of the fractional oscillator. Physica A 2001, 297:361-367.
-
(2001)
Physica A
, vol.297
, pp. 361-367
-
-
Narahari Achar, B.N.1
Hanneken, J.W.2
Enck, T.3
Clarke, T.4
-
32
-
-
33748425302
-
Numerical comparison of methods for solving linear differential equations of fractional order
-
Momani S., Odibat Z. Numerical comparison of methods for solving linear differential equations of fractional order. Chaos Solitons Fract 2007, 31:1248-1255.
-
(2007)
Chaos Solitons Fract
, vol.31
, pp. 1248-1255
-
-
Momani, S.1
Odibat, Z.2
-
33
-
-
34250215244
-
Solution of fractional differential equations by using differential transform method
-
Arikoglu A., Ozkol I. Solution of fractional differential equations by using differential transform method. Chaos Solitons Fract 2007, 34:1473-1481.
-
(2007)
Chaos Solitons Fract
, vol.34
, pp. 1473-1481
-
-
Arikoglu, A.1
Ozkol, I.2
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