A NEW NUMERICAL TECHNIQUE FOR SOLVING FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS

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dc.contributor.authorAcan, Omer
dc.contributor.authorBaleanu, Dumitru
dc.date.accessioned2024-12-24T19:30:31Z
dc.date.available2024-12-24T19:30:31Z
dc.date.issued2018
dc.departmentSiirt Üniversitesi
dc.description.abstractWe propose conformable Adomian decomposition method (CADM) for fractional partial differential equations (FPDEs). This method is a new Adomian decomposition method (ADM) based on conformable derivative operator (CDO) to solve FPDEs. At the same time, conformable reduced differential transform method (CRDTM) for FPDEs is briefly given and a numerical comparison is made between this method and the newly introduced CADM. In applied science, CADM can be used as an alternative method to obtain approximate and analytical solutions for FPDEs as CRDTM. In this study, linear and non-linear three problems are solved by these two methods. In these methods, the obtained solutions take the form of a convergent series with easily computable algorithms. For the applications, the obtained results by these methods are compared to each other and with the exact solutions. When applied to FPDEs, it is seem that CADM approach produces easy, fast and reliable solutions as CRDTM. 2010 Mathematics Subject Classification: 34A08; 34K28
dc.identifier.doi10.18514/MMN.2018.2291
dc.identifier.endpage18
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85065650730
dc.identifier.scopusqualityQ2
dc.identifier.startpage3
dc.identifier.urihttps://doi.org/10.18514/MMN.2018.2291
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7560
dc.identifier.volume19
dc.identifier.wosWOS:000441460300001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Miskolc Inst Math
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectnumerical solution
dc.subjectAdomian decomposition method
dc.subjectreduced differential transform method
dc.subjectfractional derivative
dc.subjectconformable derivative
dc.subjectpartial differential equations
dc.subjectfractional diffusion equation
dc.subjectfractional gas dynamical equation
dc.titleA NEW NUMERICAL TECHNIQUE FOR SOLVING FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
dc.typeArticle

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