Comment on "Variational Iteration Method for Fractional Calculus Using He's Polynomials
Recently Liu applied the variational homotopy perturbation method for fractional initial boundary value problems. This note concludes that the method is a modified variational iteration method using He’s polynomials. A standard variational iteration algorithm for fractional differential equations is...
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| Veröffentlicht in: | Abstract and Applied Analysis Jg. 2012; H. 1; S. 1756 - 1757-800 |
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| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
New York
Hindawi Limiteds
01.01.2012
Hindawi Publishing Corporation John Wiley & Sons, Inc Wiley |
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| ISSN: | 1085-3375, 1687-0409 |
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| Abstract | Recently Liu applied the variational homotopy perturbation method for fractional initial boundary value problems. This note concludes that the method is a modified variational iteration method using He’s polynomials. A standard variational iteration algorithm for fractional differential equations is suggested. |
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| AbstractList | Recently Liu applied the variational homotopy perturbation method for fractional initial boundary value problems. This note concludes that the method is a modified variational iteration method using He's polynomials. A standard variational iteration algorithm for fractional differential equations is suggested. Recently Liu applied the variational homotopy perturbation method for fractional initial boundary value problems. This note concludes that the method is a modified variational iteration method using He’s polynomials. A standard variational iteration algorithm for fractional differential equations is suggested. |
| Author | Ji-Huan He |
| Author_xml | – sequence: 1 givenname: Ji-Huan surname: He fullname: He, Ji-Huan organization: National Engineering Laboratory for Modern Silk College of Textile and Engineering Soochow University 199 Ren-ai Road Suzhou 215123 China scu.edu.tw |
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| Cites_doi | 10.1155/2012/916793 10.1155/2009/427516 10.1016/j.chaos.2007.06.034 10.1016/j.physleta.2010.11.047 10.1155/2012/727031 10.1016/j.aml.2012.06.007 10.1016/S0045‐7825(98)00108‐X 10.1142/S0217979206033796 10.1155/2008/954794 10.1515/IJNSNS.2008.9.2.141 |
| ContentType | Journal Article |
| Copyright | Copyright © 2012 Ji-Huan He. Copyright © 2012 Ji-Huan He. Ji-Huan He et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Copyright 2012 Hindawi Publishing Corporation |
| Copyright_xml | – notice: Copyright © 2012 Ji-Huan He. – notice: Copyright © 2012 Ji-Huan He. Ji-Huan He et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. – notice: Copyright 2012 Hindawi Publishing Corporation |
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| References_xml | – volume: 2009 year: 2009 end-page: 12 ident: 7 article-title: Solving heat and wave-like equations using He's polynomials – volume: 2008 year: 2008 end-page: 12 ident: 8 article-title: Variational iteration method for fifth-order boundary value problems using He's polynomials – volume: 375 start-page: 309 issue: 3 year: 2011 end-page: 313 ident: 9 article-title: The fractional variational iteration method using He's polynomials – volume: 167 start-page: 57 issue: 1-2 year: 1998 end-page: 68 ident: 2 article-title: Approximate analytical solution for seepage flow with fractional derivatives in porous media – volume: 39 start-page: 1486 issue: 3 year: 2009 end-page: 1492 ident: 5 article-title: Beyond Adomian polynomials: He polynomials – volume: 25 start-page: 2223 issue: 12 year: 2012 end-page: 2226 ident: 10 article-title: The fractional variational iteration method improved with the Adomian series – volume: 2012 year: 2012 end-page: 130 ident: 4 article-title: Asymptotic methods for solitary solutions and compactons – volume: 20 start-page: 1141 issue: 10 year: 2006 end-page: 1199 ident: 1 article-title: Some asymptotic methods for strongly nonlinear equations – volume: 2012 year: 2012 end-page: 10 ident: 3 article-title: Variational homotopy perturbation method for solving fractional initial boundary value problems – volume: 9 start-page: 141 year: 2008 end-page: 156 ident: 6 article-title: Variational iteration method for solving higher-order nonlinear boundary value problems using He's polynomials – ident: e_1_2_5_4_2 doi: 10.1155/2012/916793 – ident: e_1_2_5_7_2 doi: 10.1155/2009/427516 – ident: e_1_2_5_5_2 doi: 10.1016/j.chaos.2007.06.034 – ident: e_1_2_5_9_2 doi: 10.1016/j.physleta.2010.11.047 – volume: 2012 year: 2012 ident: e_1_2_5_3_2 article-title: Variational homotopy perturbation method for solving fractional initial boundary value problems publication-title: Abstract and Applied Analysis doi: 10.1155/2012/727031 – ident: e_1_2_5_10_2 doi: 10.1016/j.aml.2012.06.007 – ident: e_1_2_5_2_2 doi: 10.1016/S0045‐7825(98)00108‐X – ident: e_1_2_5_1_2 doi: 10.1142/S0217979206033796 – ident: e_1_2_5_8_2 doi: 10.1155/2008/954794 – ident: e_1_2_5_6_2 doi: 10.1515/IJNSNS.2008.9.2.141 |
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| Title | Comment on "Variational Iteration Method for Fractional Calculus Using He's Polynomials |
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