-
1
-
-
51749111612
-
Solution of fractional vibration equation by the variational iteration method and modified decomposition method
-
Das, S. (2008), "Solution of fractional vibration equation by the variational iteration method and modified decomposition method", International Journal of Nonlinear Science and Numerical Simulation, Vol.9, p. 361.
-
(2008)
International Journal of Nonlinear Science and Numerical Simulation
, vol.9
, pp. 361
-
-
Das, S.1
-
2
-
-
34249315091
-
Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method
-
Dehghan, M. and Shakeri, F. (2007), "Solution of a partial differential equation subject to temperature overspecification by He's homotopy perturbation method", Physica Scripta, Vol.75, p. 778.
-
(2007)
Physica Scripta
, vol.75
, pp. 778
-
-
Dehghan, M.1
Shakeri, F.2
-
3
-
-
38149090283
-
Solution of an integro-differential equation arising in oscillating magnetic fields using He's homotopy perturbation method
-
Dehghan, M. and Shakeri, F. (2008), "Solution of an integro-differential equation arising in oscillating magnetic fields using He's homotopy perturbation method", Progress in Electromagnetic Research PIER, Vol.78, p. 361.
-
(2008)
Progress in Electromagnetic Research PIER
, vol.78
, pp. 361
-
-
Dehghan, M.1
Shakeri, F.2
-
4
-
-
61449220353
-
Application of the homotopy perturbation method to coupled system of partial differential equations with time fractional derivatives
-
Ganji, Z.Z., Ganji, D.D., Jafari, H., et al. (2008), "Application of the homotopy perturbation method to coupled system of partial differential equations with time fractional derivatives", Topological Methods in Nonlinear Analysis, Vol.31, p. 341.
-
(2008)
Topological Methods in Nonlinear Analysis
, vol.31
, pp. 341
-
-
Ganji, Z.Z.1
Ganji, D.D.2
Jafari, H.3
-
5
-
-
0032307661
-
Approximate analytical solution for seepage flow with fractional derivatives in porous media
-
He, J.H. (1998), "Approximate analytical solution for seepage flow with fractional derivatives in porous media", Computer Methods in Applied Mechanics and Engineering, Vol.167, p. 57.
-
(1998)
Computer Methods in Applied Mechanics and Engineering
, vol.167
, pp. 57
-
-
He, J.H.1
-
7
-
-
0033702384
-
A coupling method of a homotopy technique and a perturbation technique for non-linear problems
-
He, J.H. (2000a), "A coupling method of a homotopy technique and a perturbation technique for non-linear problems", International Journalof'Non-Linear-Mechanics, Vol.35, p. 37.
-
(2000)
International journalof'Non-Linear-Mechanics
, vol.35
, pp. 37
-
-
He, J.H.1
-
8
-
-
0037440579
-
Homotopy perturbation method: A new nonlinear analytical technique
-
He, J.H. (2000b), "Homotopy perturbation method: a new nonlinear analytical technique", Applied Mathematics and Computation, Vol.135, p. 73.
-
(2000)
Applied Mathematics and Computation
, vol.135
, pp. 73
-
-
He, J.H.1
-
9
-
-
18844426016
-
Application of homotopy perturbation method to nonlinear wave equations
-
DOI 10.1016/j.chaos.2005.03.006, PII S0960077905002687
-
He, J.H. (2005a), "Application of homotopy perturbation method to nonlinear wave equations", Chaos, Solitons and Fractals, Vol. 26, pp. 695-700. (Pubitemid 40682499)
-
(2005)
Chaos, Solitons and Fractals
, vol.26
, Issue.3
, pp. 695-700
-
-
He, J.-H.1
-
11
-
-
33645972898
-
Some asymptotic methods for strongly nonlinear equations
-
DOI 10.1142/S0217979206033796, PII S0217979206033796
-
He, J.H. (2006a), "Some asymptotic methods for strongly nonlinear equations", International Journal of Modern Physics B, Vol.20 No.10, pp. 1141-1199 (Pubitemid 43599585)
-
(2006)
International Journal of Modern Physics B
, vol.20
, Issue.10
, pp. 1141-1199
-
-
He, J.-H.1
-
13
-
-
30644460357
-
Homotopy perturbation method for solving boundary value problems
-
He, J.H. (2006c), "Homotopy perturbation method for solving boundary value problems", Physics Letters A, Vol.350, p. 87.
-
(2006)
Physics Letters A
, vol.350
, pp. 87
-
-
He, J.H.1
-
14
-
-
33645972898
-
Some asymptotic methods for strongly nonlinear equations
-
He, J.H. (2006d), "Some asymptotic methods for strongly nonlinear equations", International Journal of Modern Physics B, Vol.20, p. 1141-1199
-
(2006)
International Journal of Modern Physics B
, vol.20
, pp. 1141-1199
-
-
He, J.H.1
-
15
-
-
33746584753
-
New interpretation of homotopy perturbation method
-
He, J.H. (2006e), "New interpretation of homotopy perturbation method", International Journal of Modern Physics B, Vol.20, p. 2561.
-
(2006)
International Journal of Modern Physics B
, vol.20
, pp. 2561
-
-
He, J.H.1
-
16
-
-
50949124409
-
Recent development of the homotopy perturbation method
-
He, J.H. (2008a), "Recent development of the homotopy perturbation method", Topological Methods in Nonlinear Analysis, Vol.31, p. 205.
-
(2008)
Topological Methods in Nonlinear Analysis
, vol.31
, pp. 205
-
-
He, J.H.1
-
17
-
-
50949112266
-
An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering
-
He, J.H. (2008b), "An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering", International Journal of Modern Physics B, Vol.22, p. 3487.
-
(2008)
International Journal of Modern Physics B
, vol.22
, pp. 3487
-
-
He, J.H.1
-
18
-
-
33745177020
-
Exp-function method for nonlinear wave equations
-
DOI 10.1016/j.chaos.2006.03.020, PII S0960077906002293
-
He, J.H. and Wu, X.H. (2006a), "Exp-function method for nonlinear wave equation", Chaos, Solitons and Fractals, Vol.30 No.3, pp. 700-708 (Pubitemid 43903182)
-
(2006)
Chaos, Solitons and Fractals
, vol.30
, Issue.3
, pp. 700-708
-
-
He, J.-H.1
Wu, X.-H.2
-
19
-
-
30344475545
-
Construction of solitary solution and compact-like solution by variational iteration method
-
He, J.H. and Wu, X.H. (2006b), "Construction of solitary solution and compact-like solution by variational iteration method", Chaos, Solitons and Fractals, Vol.29 No.1, pp. 108-113
-
(2006)
Chaos, Solitons and Fractals
, vol.29
, Issue.1
, pp. 108-113
-
-
He, J.H.1
Wu, X.H.2
-
20
-
-
31444451159
-
New exact solitary pattern solutions of the nonlinearly dispersive R(m, n) equations
-
DOI 10.1016/j.chaos.2005.08.051, PII S0960077905006867
-
Inc, M. (2006), "New exact solitary pattern solutions of the nonlinear dispersive R(m, mn) equations", Chaos, Solitons and Fractals, Vol.29, pp. 499-505. (Pubitemid 43152220)
-
(2006)
Chaos, Solitons and Fractals
, vol.29
, Issue.2
, pp. 499-505
-
-
Inc, M.1
-
21
-
-
0003548431
-
-
Preprint series A08-98, Fachbreich Mathematik und Informatik, Freic Universitat, Berlin
-
Luchko, Y. and Gorneflo, R. (1998), "The initial value problem for some fractional differential equations with the Caputo derivative", Preprint series A08-98, Fachbreich Mathematik und Informatik, Freic Universitat, Berlin.
-
(1998)
The Initial Value Problem for Some Fractional Differential Equations with the Caputo Derivative
-
-
Luchko, Y.1
Gorneflo, R.2
-
22
-
-
0003492056
-
-
Wiley, New York, NY
-
Miller, K.S. and Ross, B. (1993), An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York, NY.
-
(1993)
An Introduction to the Fractional Calculus and Fractional Differential Equations
-
-
Miller, K.S.1
Ross, B.2
-
23
-
-
34247395044
-
Homotopy perturbation method for nonlinear partial differential equations of fractional order
-
Momani, S. and Odibat, Z. (2007), "Homotopy perturbation method for nonlinear partial differential equations of fractional order", Physics Letters A, Vol.365, p. 345.
-
(2007)
Physics Letters A
, vol.365
, pp. 345
-
-
Momani, S.1
Odibat, Z.2
-
24
-
-
34548384362
-
Numerical methods for nonlinear partial differential equations of fractional order
-
DOI 10.1016/j.apm.2006.10.025, PII S0307904X06002800
-
Momani, S., Odibat, Z. and Hashim, I. (2008), "Algorithms for nonlinear fractional partial differential equations: a selection of numerical methods", Topological Methods in Nonlinear Analysis, Vol.31, p. 211. (Pubitemid 47355246)
-
(2008)
Applied Mathematical Modelling
, vol.32
, Issue.1
, pp. 28-39
-
-
Odibat, Z.1
Momani, S.2
-
25
-
-
30344464250
-
Application of variational iteration method to nonlinear differential equations of fractional order
-
Odibat, Z. and Momani, S. (2006), "Application of variational iteration method to nonlinear differential equations of fractional order", International Journal ofNonlinear Science and Numerical Simulation, Vol.7, p. 27. (Pubitemid 43246579)
-
(2006)
International Journal of Nonlinear Sciences and Numerical Simulation
, vol.7
, Issue.1
, pp. 27-34
-
-
Odibat, Z.M.1
Momani, S.2
-
26
-
-
50949095668
-
Applications of variational iteration and homotopy perturbation methods to fractional evolution equations
-
Odibat, Z. and Momani, S. (2008), "Applications of variational iteration and homotopy perturbation methods to fractional evolution equations", Topological Methods in Nonlinear Analysis, Vol.31, p. 227.
-
(2008)
Topological Methods in Nonlinear Analysis
, vol.31
, pp. 227
-
-
Odibat, Z.1
Momani, S.2
-
27
-
-
35148888775
-
Solitary solutions for the nonlinear dispersive K(m, n) equations with fractional time derivatives
-
Odibat, Z.M. (2007), "Solitary solutions for the nonlinear dispersive K(m, n) equations with fractional time derivatives", Physics Letters A, Vol.370, pp. 295-301.
-
(2007)
Physics Letters A
, vol.370
, pp. 295-301
-
-
Odibat, Z.M.1
-
28
-
-
0004182814
-
-
Academic Press, New York, NY
-
Oldham, K.B. and Spanier, J. (1974), The Fractional Calculus, Academic Press, New York, NY.
-
(1974)
The Fractional Calculus
-
-
Oldham, K.B.1
Spanier, J.2
-
29
-
-
34247154842
-
A note on He's homotopy perturbation method for van der Pol oscillator with very strong nonlinearity
-
DOI 10.1016/j.chaos.2006.04.013, PII S0960077906003353
-
Ozis, T. and Yildirim, A. (2007a), "A note on He's homotopy perturbation method for van der Pol oscillator with very strong nonlinearity", Chaos, Solitons and Fractals, Vol.34, p. 989. (Pubitemid 46601912)
-
(2007)
Chaos, Solitons and Fractals
, vol.34
, Issue.3
, pp. 989-991
-
-
Ozis, T.1
Yildirim, A.2
-
30
-
-
34249884541
-
A comparative study of He's homotopy perturbation method for determining frequency-amplitude relation of a nonlinear oscillator with discontinuities
-
Ozis, T. and Yildirim, A. (2007b), "A comparative study of He's homotopy perturbation method for determining frequency-amplitude relation of a nonlinear oscillator with discontinuities", InternationalJournal of Nonlinear Science and Numerical Simulation, Vol.8, p. 243.
-
(2007)
InternationalJournal of Nonlinear Science and Numerical Simulation
, vol.8
, pp. 243
-
-
Öziş, T.1
Yildirim, A.2
-
31
-
-
34249884542
-
Traveling wave solution of Korteweg-de Vries Equation using He's homotopy perturbation method
-
Ozis, T. and Yildirim, A. (2007c), "Traveling wave solution of Korteweg-de Vries Equation using He's homotopy perturbation method", International Journal of Nonlinear Science and Numerical Simulation, Vol.8, p. 239.
-
(2007)
International Journal of Nonlinear Science and Numerical Simulation
, vol.8
, pp. 239
-
-
Öziş, T.1
Yildirim, A.2
-
32
-
-
33846210009
-
Determination of periodic solution for a u(1/3) force by He' modified Lindstedt-Poincare method
-
Ozis, T. and Yildirim, A. (2007d), "Determination of periodic solution for a u(1/3) force by He' modified Lindstedt-Poincare method", Journal of Sound and Vibration, Vol.301, p. 415.
-
(2007)
Journal of Sound and Vibration
, vol.301
, pp. 415
-
-
Öziş, T.1
Yildirim, A.2
-
33
-
-
12044253199
-
Compactons: Solitons with finite wavelengths
-
Rosenau, P. and Hymann, J.M. (1993), "Compactons: solitons with finite wavelengths", Physical Review Letters, Vol.70 No.5, pp. 564-567
-
(1993)
Physical Review Letters
, vol.70
, Issue.5
, pp. 564-567
-
-
Rosenau, P.1
Hymann, J.M.2
-
34
-
-
60849089344
-
Application of He's homotopy perturbation method for nonlinear system of second-order boundary value problems
-
Saadatmandi, A., Dehghan, M. and Eftekhari (2009), "Application of He's homotopy perturbation method for nonlinear system of second-order boundary value problems", Nonlinear Analysis: Real World Applications, Vol. 10 No. 3, pp. 1912-1922
-
(2009)
Nonlinear Analysis: Real World Applications
, vol.10
, Issue.3
, pp. 1912-1922
-
-
Saadatmandi, A.1
Eftekhari, D.M.2
-
35
-
-
0003598080
-
-
Gordon and Breach, Yverdon
-
Samko, S.G., Kilbas, A.A. and Marichev, O.I. (1993), Fractional Integrals and Derivatives: Theory and Applications, Gordon and Breach, Yverdon.
-
(1993)
Fractional Integrals and Derivatives: Theory and Applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
36
-
-
34347219776
-
Inverse problem of diffusion equation by He's homotopy perturbation method
-
DOI 10.1088/0031-8949/75/4/031, PII S00318949074144902, 031
-
Shakeri, F. and Dehghan, M. (2007), "Inverse problem of diffusion equation by He s homotopy perturbation method", Physica Scripta, Vol. 75, p. 551. (Pubitemid 46991673)
-
(2007)
Physica Scripta
, vol.75
, Issue.4
, pp. 551-556
-
-
Shakeri, F.1
Dehghan, M.2
-
37
-
-
44949134839
-
Solution of delay differential equations via a homotopy perturbation method
-
DOI 10.1016/j.mcm.2007.09.016, PII S0895717707003342
-
Shakeri, F. and Dehghan, M. (2008), "Solution of the delay differential equations via homotopy perturbation method", Mathematical and Computer Modelling, Vol.48, p. 486. (Pubitemid 351802249)
-
(2008)
Mathematical and Computer Modelling
, vol.48
, Issue.3-4
, pp. 486-498
-
-
Shakeri, F.1
Dehghan, M.2
-
38
-
-
3142681789
-
Stability of multi-compacton solutions and Backlund transformation in K(m, n, 1)
-
Tian, L.X. and Yin, J.L. (2005), "Stability of multi-compacton solutions and Backlund transformation in K(m, n, 1)", Chaos, Solitons and Fractals, Vol.23, pp. 159-169
-
(2005)
Chaos, Solitons and Fractals
, vol.23
, pp. 159-169
-
-
Tian, L.X.1
Yin, J.L.2
-
39
-
-
34250655318
-
Shock-peakon and shock-compacton solutions for K (p, q) equation by variational iteration method
-
DOI 10.1016/j.cam.2006.07.026, PII S0377042706004596, Variational Iteration Method-Reality, Potential, and Challenges
-
Tian, L.X. and Yin, J.L. (2007), "Shok-peakon and shock compact solutions for K(p, q) equation by variational iteration method", Journal ofComputational and Applied Mathematics, Vol.207, pp. 46-52. (Pubitemid 46935384)
-
(2007)
Journal of Computational and Applied Mathematics
, vol.207
, Issue.1
, pp. 46-52
-
-
Tian, L.1
Yin, J.2
-
40
-
-
0036462771
-
New solitary-wave special solutions with compact support for the nonlinear dispersive K(m,n) equations
-
DOI 10.1016/S0960-0779(00)00249-6, PII S0960077900002496
-
Wazwaz, A.M. (2002), "New solitary wave special solutions with compact support for the nonlinear dispersive K(m, n) equations", Chaos, Solitons and Fractals, Vol. 13 No. 22, pp. 321-330 (Pubitemid 32761510)
-
(2002)
Chaos, Solitons and Fractals
, vol.13
, Issue.2
, pp. 321-330
-
-
Wazwaz, A.M.1
-
41
-
-
0037457718
-
Compactons and solitary pattern structures for variants of the KdV and the KP equations
-
Wazwaz, A.M. (2003), "Compactons and solitary pattern structures for variants of the KdV and the KP equations", Applied Mathematics and Computation, Vol. 138 Nos. 2/3, pp. 309-319
-
(2003)
Applied Mathematics and Computation
, vol.138
, Issue.2-3
, pp. 309-319
-
-
Wazwaz, A.M.1
-
42
-
-
0041629375
-
Existence and construction of compact solutions
-
Wazwaz, A.M. (2004), "Existence and construction of compact solutions", Chaos, Solitons and Fractals, Vol. 19, pp. 463-470
-
(2004)
Chaos, Solitons and Fractals
, vol.19
, pp. 463-470
-
-
Wazwaz, A.M.1
-
43
-
-
34250620099
-
The variational iteration method for rational solutions for KdV, K(2, 2), Burgers and cubic Boussinesq equations
-
Wazwaz, A.M. (2007), "The variational iteration method for rational solutions for KdV, K(2, 2), Burgers and cubic Boussinesq equations", Journal of Computational and Applied Mathematics, Vol. 207, pp. 18-23.
-
(2007)
Journal of Computational and Applied Mathematics
, vol.207
, pp. 18-23
-
-
Wazwaz, A.M.1
-
44
-
-
55649112486
-
Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method
-
Yildirim, A. (2008a), "Solution of BVPs for fourth-order integro-differential equations by using homotopy perturbation method", Computers & Mathematics with Applications, Vol. 56 No. 12, pp. 3175-3180
-
(2008)
Computers & Mathematics with Applications
, vol.56
, Issue.12
, pp. 3175-3180
-
-
Yildirim, A.1
-
45
-
-
77952576056
-
He s homotopy perturbation method for nonlinear differential-difference equations
-
DOI: 10.1080/00207160802247646
-
Yildirim, A. (2008b), "He s homotopy perturbation method for nonlinear differential-difference equations", International Journal of Computer Mathematics, DOI: 10.1080/0020716080 2247646.
-
(2008)
International Journal of Computer Mathematics
-
-
Yildirim, A.1
-
46
-
-
58449094572
-
"The homotopy perturbation method for approximate solution of the modified KdV equation", Zeitschrift fur Naturforschung A
-
Yildirim, A. (2008c), "The homotopy perturbation method for approximate solution of the modified KdV equation", Zeitschrift fur Naturforschung A, A Journal of Physical Sciences, Vol.63a, p. 621.
-
(2008)
A Journal of Physical Sciences
, vol.63
, pp. 621
-
-
Yildirim, A.1
-
47
-
-
77956512231
-
Application of the homotopy perturbation method for the Fokker-Planck equation
-
DOI: 10.1002/cnm.1200
-
Yildirim, A. (2008d), "Application of the homotopy perturbation method for the Fokker-Planck equation", Communications in Numerical Methods in Engineering, DOI: 10.1002/cnm.1200.
-
(2008)
Communications in Numerical Methods in Engineering
-
-
Yildirim, A.1
-
48
-
-
34548249064
-
Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method
-
Yildirim, A. and Ozis, T. (2007), "Solutions of singular IVPs of Lane-Emden type by homotopy perturbation method", Physics Letters A, Vol. 369, p. 70.
-
(2007)
Physics Letters A
, vol.369
, pp. 70
-
-
Yildirim, A.1
Ozis, T.2
-
49
-
-
22844438621
-
Exact special solitary solutions with compact support for the nonlinear dispersive K(m, n) equations
-
DOI 10.1016/j.chaos.2005.04.028, PII S0960077905003383
-
Zhu, Y.G. and Gao, X.S. (2006), "Exact special solitary solutions with compact support for the nonlinear dispersive K(m, n) equations", Chaos, Solitons and Fractals, Vol. 27, pp. 487-493 (Pubitemid 41037132)
-
(2006)
Chaos, Solitons and Fractals
, vol.27
, Issue.2
, pp. 487-493
-
-
Zhu, Y.1
Gao, X.2
-
50
-
-
23144451382
-
New exact solitary-wave special solutions for the nonlinear dispersive K(m, n) equations
-
DOI 10.1016/j.chaos.2005.04.057, PII S0960077905003784
-
Zhu, Y.G. and Lu, Z.S. (2006), "New exact solitary wave special solutions for the nonlinear dispersive K(m, n) equations", Chaos, Solitons and Fractals, Vol. 27, pp. 836-842 (Pubitemid 41084215)
-
(2006)
Chaos, Solitons and Fractals
, vol.27
, Issue.3
, pp. 836-842
-
-
Zhu, Y.1
Lu, Z.2
-
51
-
-
33947148123
-
New exact solitary-wave solutions for the K(2, 2, 1) and K(3, 3, 1) equations
-
DOI 10.1016/j.chaos.2006.01.090, PII S0960077906001706
-
Zhu, Y., Tong, K. and Chaolu, T. (2007), "New exact solitary-wave solutions for the K(2, 2, 1) and K(3, 3, 1) equations", Chaos, Solitons and Fractals, Vol.33, pp. 1411-1416 (Pubitemid 46413021)
-
(2007)
Chaos, Solitons and Fractals
, vol.33
, Issue.4
, pp. 1411-1416
-
-
Zhu, Y.1
Tong, K.2
Chaolu, T.3
-
52
-
-
46749125042
-
Use of He's homotopy perturbation method for solving a partial differential equation arising in modeling of flow in porous media
-
Dehghan, M. and Shakeri, F. (2008), "Use of He's homotopy perturbation method for solving a partial differential equation arising in modeling of flow in porous media", Journal of Porous Media, Vol.11, p. 765.
-
(2008)
Journal of Porous Media
, vol.11
, pp. 765
-
-
Dehghan, M.1
Shakeri, F.2
-
53
-
-
1242287587
-
The homotopy perturbation method for nonlinear oscillators with discontinuities
-
He, J.H. (2004), "The homotopy perturbation method for nonlinear oscillators with discontinuities", Applied Mathematics and Computation, Vol.151, p. 287.
-
(2004)
Applied Mathematics and Computation
, vol.151
, pp. 287
-
-
He, J.H.1
-
54
-
-
37349034972
-
String theory in a scale dependent discontinuous space-time
-
He, J.H. (2008), "String theory in a scale dependent discontinuous space-time", Chaos, Solitons & Fractals, Vol.36, pp. 542-545
-
(2008)
Chaos, Solitons & Fractals
, vol.36
, pp. 542-545
-
-
He, J.H.1
|