Variational Iteration Method for Fractional Calculus - a Universal Approach by Laplace Transform
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.date.accessioned | 2020-04-29T22:49:57Z | |
| dc.date.accessioned | 2025-09-18T12:08:13Z | |
| dc.date.available | 2020-04-29T22:49:57Z | |
| dc.date.available | 2025-09-18T12:08:13Z | |
| dc.date.issued | 2013 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | A novel modification of the variational iteration method (VIM) is proposed by means of the Laplace transform. Then the method is successfully extended to fractional differential equations. Several linear fractional differential equations are analytically solved as examples and the methodology is demonstrated. | en_US |
| dc.description.sponsorship | NSFC [11061028, 51134018] | en_US |
| dc.description.sponsorship | The authors would like to express their deep gratitude to the referees for their valuable suggestions and comments. The work is financially supported by the NSFC (11061028) and the key program of the NSFC (51134018). | en_US |
| dc.identifier.citation | Baleanu, Dimitru; Wu, Guo-Cheng, "Variational Iteration Method for Fractional Calculus - a Universal Approach By Laplace Transform", Advances In Difference Equations, (2013). | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2013-18 | |
| dc.identifier.issn | 1687-1847 | |
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| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2013-18 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11065 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Variational Iteration Method | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.subject | Symbolic Computation | en_US |
| dc.title | Variational Iteration Method for Fractional Calculus - a Universal Approach by Laplace Transform | en_US |
| dc.title | Variational Iteration Method for Fractional Calculus - a Universal Approach By Laplace Transform | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Wu, Guo-Cheng] Neijiang Normal Univ, Coll Math & Informat Sci, Neijiang 641112, Peoples R China; [Wu, Guo-Cheng] Sichuan Univ, Coll Water Resources & Hydropower, Chengdu 610065, Sichuan, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Baleanu, Dumitru] King Abdulaziz Univ, Dept Math, Jeddah 21413, Saudi Arabia | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2013 | |
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| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Multivariable calculus | |
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| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
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| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Laplace transform applied to differential equations | |
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| gdc.oaire.keywords | FOS: Clinical medicine | |
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| gdc.oaire.keywords | Fractional calculus | |
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| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Inverse Laplace transform | |
| gdc.oaire.keywords | Numerical optimization and variational techniques | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
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| gdc.oaire.keywords | variational iteration method | |
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