Symmetry analysis of initial and boundary value problems for fractional differential equations in Caputo sense

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dc.contributor.authorIskenderoglu, Gulistan
dc.contributor.authorKaya, Dogan
dc.date.accessioned2021-01-25T21:48:01Z
dc.date.available2021-01-25T21:48:01Z
dc.date.issued2020
dc.departmentİstanbul Ticaret Üniversitesien_US
dc.descriptionKAYA, DOGAN/0000-0002-8400-5313; Iskenderoglu, Gulistan/0000-0001-7322-1339en_US
dc.descriptionWOS:000527769700046en_US
dc.description.abstractIn this work, we study Lie symmetry analysis of initial and boundary value problems (IBVPs) for partial differential equations (PDE) with Caputo fractional derivative. According to Bluman's definition and theorem for the symmetry analysis of the PDE system, we determine the symmetries of the PDE with Caputo fractional derivative in general form and prove theorem for the above equation. We investigate the symmetry analysis of IBVP for a fractional diffusion and third-order fractional partial differential equation (FPDE). And as a result of applying the method, we get several solutions. (C) 2020 Elsevier Ltd. All rights reserved.en_US
dc.description.sponsorshipIstanbul Commerce UniversityIstanbul Ticaret University [22-2018/34]; Turkish scholarshipsen_US
dc.description.sponsorshipThe authors would like to thank Istanbul Commerce University, 22-2018/34 and Turkish scholarships for supporting this work.en_US
dc.identifier.doi10.1016/j.chaos.2020.109684en_US
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.scopus2-s2.0-85079841062en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2020.109684
dc.identifier.urihttps://hdl.handle.net/11467/4484
dc.identifier.volume134en_US
dc.identifier.wosWOS:000527769700046en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPERGAMON-ELSEVIER SCIENCE LTDen_US
dc.relation.ispartofCHAOS SOLITONS & FRACTALSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLie group methoden_US
dc.subjectFractional differential equationen_US
dc.subjectBoundary value problemen_US
dc.titleSymmetry analysis of initial and boundary value problems for fractional differential equations in Caputo senseen_US
dc.typeArticleen_US

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