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New Applications of the Variational Iteration Method - From Differential Equations To Q-Fractional Difference Equations

dc.contributor.author Baleanu, Dumitru
dc.contributor.author Wu, Guo-Cheng
dc.date.accessioned 2020-04-03T22:05:53Z
dc.date.accessioned 2025-09-18T15:43:25Z
dc.date.available 2020-04-03T22:05:53Z
dc.date.available 2025-09-18T15:43:25Z
dc.date.issued 2013
dc.description Wu, Guo-Cheng/0000-0002-1946-6770 en_US
dc.description.abstract The non-classical calculi such as q-calculus, fractional calculus and q-fractional calculus have been hot topics in both applied and pure sciences. Then some new linear and nonlinear models have appeared. This study mainly concentrates on the analytical aspects, and the variational iteration method is extended in a new way to solve an initial value problem. 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 Wu, Guo-Cheng; Baleanu, Dumitru, "New applications of the variational iteration method - from differential equations to q-fractional difference equations", Advances In Difference Equations, (2013) en_US
dc.identifier.doi 10.1186/1687-1847-2013-21
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-84876541890
dc.identifier.uri https://doi.org/10.1186/1687-1847-2013-21
dc.identifier.uri https://hdl.handle.net/20.500.12416/13952
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 Time Scales en_US
dc.subject Q-Calculus en_US
dc.subject Laplace Transform en_US
dc.subject Symbolic Computation en_US
dc.title New Applications of the Variational Iteration Method - From Differential Equations To Q-Fractional Difference Equations en_US
dc.title New Applications of the Variational Iteration Method - From Differential Equations To Q-Fractional Difference Equations tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Wu, Guo-Cheng/0000-0002-1946-6770
gdc.author.scopusid 23390775700
gdc.author.scopusid 7005872966
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Wu, Guo-Cheng/T-9088-2017
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
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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, 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
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
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gdc.oaire.keywords Multivariable calculus
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Quantum mechanics
gdc.oaire.keywords Convergence Analysis of Iterative Methods for Nonlinear Equations
gdc.oaire.keywords Differential equation
gdc.oaire.keywords Engineering
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Nonlinear Equations
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords Numerical Analysis
gdc.oaire.keywords Algebra and Number Theory
gdc.oaire.keywords Time-scale calculus
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Physics
gdc.oaire.keywords FOS: Clinical medicine
gdc.oaire.keywords Control engineering
gdc.oaire.keywords Fractional calculus
gdc.oaire.keywords Partial differential equation
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Differential calculus
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords Dentistry
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Nonlinear system
gdc.oaire.keywords Medicine
gdc.oaire.keywords Calculus (dental)
gdc.oaire.keywords Iterative Methods
gdc.oaire.keywords Analysis
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Nonlinear Systems
gdc.oaire.keywords Ordinary differential equation
gdc.oaire.keywords Calculus of variations
gdc.oaire.keywords Laplace transform
gdc.oaire.keywords Difference equations, scaling (\(q\)-differences)
gdc.oaire.keywords fractional calculus
gdc.oaire.keywords Fractional derivatives and integrals
gdc.oaire.keywords \(q\)-calculus
gdc.oaire.keywords time scales
gdc.oaire.keywords symbolic computation
gdc.oaire.keywords variational iteration method
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gdc.opencitations.count 41
gdc.plumx.crossrefcites 19
gdc.plumx.mendeley 16
gdc.plumx.scopuscites 65
gdc.scopus.citedcount 68
gdc.virtual.author Baleanu, Dumitru
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