-
2
-
-
77953332285
-
Applications of fractional calculus
-
Dalir M., Bashour M. Applications of fractional calculus. Appl. Math. Sci. 2010, 4:1021-1032.
-
(2010)
Appl. Math. Sci.
, vol.4
, pp. 1021-1032
-
-
Dalir, M.1
Bashour, M.2
-
5
-
-
77957308442
-
A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation
-
Amairi M., Aoun M., Najar S., Abdelkrim M.N. A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation. Appl. Math. Comput. 2010, 217:2162-2168.
-
(2010)
Appl. Math. Comput.
, vol.217
, pp. 2162-2168
-
-
Amairi, M.1
Aoun, M.2
Najar, S.3
Abdelkrim, M.N.4
-
6
-
-
77950188013
-
Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations
-
Deng J., Ma L. Existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations. Appl. Math. Lett. 2010, 23:676-680.
-
(2010)
Appl. Math. Lett.
, vol.23
, pp. 676-680
-
-
Deng, J.1
Ma, L.2
-
8
-
-
77953168484
-
Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations
-
EL-Sayed A.M.A., El-Kalla I.L., Ziad E.A.A. Analytical and numerical solutions of multi-term nonlinear fractional orders differential equations. Appl. Numer. Math. 2010, 60:788-797.
-
(2010)
Appl. Numer. Math.
, vol.60
, pp. 788-797
-
-
EL-Sayed, A.M.A.1
El-Kalla, I.L.2
Ziad, E.A.A.3
-
9
-
-
34247395044
-
Homotopy perturbation method for nonlinear partial differential equations of fractional order
-
Momani S., Odibat Z. Homotopy perturbation method for nonlinear partial differential equations of fractional order. Phys. Lett. A 2007, 365:345-350.
-
(2007)
Phys. Lett. A
, vol.365
, pp. 345-350
-
-
Momani, S.1
Odibat, Z.2
-
10
-
-
75649151056
-
Application of variational iteration method to fractional Hyperbolic partial differential equations
-
doi:10.1155/2009/824385
-
F. Dal, Application of variational iteration method to fractional Hyperbolic partial differential equations, Math. Problems Eng., doi:10.1155/2009/824385.
-
Math. Problems Eng.
-
-
Dal, F.1
-
11
-
-
70350378693
-
A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations
-
Odibat Z., Momani S., Xu H. A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations. Appl. Math. Modell. 2010, 34:593-600.
-
(2010)
Appl. Math. Modell.
, vol.34
, pp. 593-600
-
-
Odibat, Z.1
Momani, S.2
Xu, H.3
-
12
-
-
0036650479
-
A predictor-corrector approach for the numerical solution of fractional differential equations
-
Diethelm K., Ford N.J., Freed A.D. A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynam. 2002, 29:3-22.
-
(2002)
Nonlinear Dynam.
, vol.29
, pp. 3-22
-
-
Diethelm, K.1
Ford, N.J.2
Freed, A.D.3
-
13
-
-
33745712076
-
An approximate method for numerical solution of fractional differential equations
-
Kumer P., Agrawal O.P. An approximate method for numerical solution of fractional differential equations. Signal Process. 2006, 84:2602-2610.
-
(2006)
Signal Process.
, vol.84
, pp. 2602-2610
-
-
Kumer, P.1
Agrawal, O.P.2
-
14
-
-
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. Comput. Math. Appl. 2010, 59:1326-1336.
-
(2010)
Comput. Math. Appl.
, vol.59
, pp. 1326-1336
-
-
Saadatmandi, A.1
Dehghan, M.2
-
15
-
-
78649445937
-
An extension of the spectral Tau method for numerical solution of multi-order fractional differential equations with convergence analysis
-
Ghoreishi F., Yazdani S. An extension of the spectral Tau method for numerical solution of multi-order fractional differential equations with convergence analysis. Comput. Math. Appl. 2011, 61:30-43.
-
(2011)
Comput. Math. Appl.
, vol.61
, pp. 30-43
-
-
Ghoreishi, F.1
Yazdani, S.2
-
16
-
-
79960988872
-
Tau approximate solution of fractional partial differential equations
-
doi:10.1016/j.camwa.2011.03.013
-
S.K. Vanani, A. Aminataei, Tau approximate solution of fractional partial differential equations, Comput. Math. Appl., doi:10.1016/j.camwa.2011.03.013.
-
Comput. Math. Appl.
-
-
Vanani, S.K.1
Aminataei, A.2
-
17
-
-
79953684270
-
A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations
-
Esmaeili S., Shamsi M. A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations. Commun. Nonlinear Sci. Numer. Simul. 2011, 16:3646-3654.
-
(2011)
Commun. Nonlinear Sci. Numer. Simul.
, vol.16
, pp. 3646-3654
-
-
Esmaeili, S.1
Shamsi, M.2
-
18
-
-
79953828683
-
On the convergence of spline collocation methods for solving fractional differential equations
-
Pedas A., Tamme E. On the convergence of spline collocation methods for solving fractional differential equations. J. Comput. Appl. Math. 2011, 235:3502-3514.
-
(2011)
J. Comput. Appl. Math.
, vol.235
, pp. 3502-3514
-
-
Pedas, A.1
Tamme, E.2
-
19
-
-
57649110761
-
Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations
-
Doha E.H., Abd-Elhameed W.M., Bhrawy A.H. Efficient spectral ultraspherical-Galerkin algorithms for the direct solution of 2nth-order linear differential equations. Appl. Math. Modell. 2009, 33:1982-1996.
-
(2009)
Appl. Math. Modell.
, vol.33
, pp. 1982-1996
-
-
Doha, E.H.1
Abd-Elhameed, W.M.2
Bhrawy, A.H.3
-
20
-
-
33747889876
-
Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials
-
Doha E.H., Bhrawy A.H. Efficient spectral-Galerkin algorithms for direct solution for second-order differential equations using Jacobi polynomials. Numer. Algor. 2006, 42:137-164.
-
(2006)
Numer. Algor.
, vol.42
, pp. 137-164
-
-
Doha, E.H.1
Bhrawy, A.H.2
-
21
-
-
44149096688
-
Efficient spectral-Galerkin Algorithms for direct solution of fourth-order differential equations using Jacobi polynomials
-
Doha E.H., Bhrawy A.H. Efficient spectral-Galerkin Algorithms for direct solution of fourth-order differential equations using Jacobi polynomials. Appl. Numer. Math. 2008, 58:1224-1244.
-
(2008)
Appl. Numer. Math.
, vol.58
, pp. 1224-1244
-
-
Doha, E.H.1
Bhrawy, A.H.2
-
23
-
-
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
-
24
-
-
3042709180
-
Multi-order fractional differential equations and their numerical solutions
-
Diethelm K., Ford N.J. Multi-order fractional differential equations and their numerical solutions. Appl. Math. Comput. 2004, 154:621-640.
-
(2004)
Appl. Math. Comput.
, vol.154
, pp. 621-640
-
-
Diethelm, K.1
Ford, N.J.2
-
25
-
-
9744276851
-
Numerical methods for multi-term fractional (arbitrary) orders differential equations
-
EL-Mesiry A.E.M., EL-Sayed A.M.A., EL-Saka H.A.A. Numerical methods for multi-term fractional (arbitrary) orders differential equations. Appl. Math. Comput. 2005, 160:683-699.
-
(2005)
Appl. Math. Comput.
, vol.160
, pp. 683-699
-
-
EL-Mesiry, A.E.M.1
EL-Sayed, A.M.A.2
EL-Saka, H.A.A.3
-
26
-
-
67349259080
-
Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations
-
Ford N.J., Connolly J.A. Systems-based decomposition schemes for the approximate solution of multi-term fractional differential equations. J. Comput. Appl. Math. 2009, 229:382-391.
-
(2009)
J. Comput. Appl. Math.
, vol.229
, pp. 382-391
-
-
Ford, N.J.1
Connolly, J.A.2
-
27
-
-
41949112904
-
Application of homotopy-perturbation method to fractional IVPs
-
Abdulaziz O., Hashim I., Momani S. Application of homotopy-perturbation method to fractional IVPs. J. Comput. Appl. Math. 2008, 216:574-584.
-
(2008)
J. Comput. Appl. Math.
, vol.216
, pp. 574-584
-
-
Abdulaziz, O.1
Hashim, I.2
Momani, S.3
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