A New Method to Solve Time Fractional Diffusion Equations Arising in Chaos and Heat Conduction

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dc.authoridOZKAN, OZAN/0000-0001-6430-1126
dc.contributor.authorOzkan, Ozan
dc.contributor.authorKurt, Ali
dc.contributor.authorTasbozan, Orkun
dc.date.accessioned2024-09-18T20:11:46Z
dc.date.available2024-09-18T20:11:46Z
dc.date.issued2018
dc.departmentHatay Mustafa Kemal Üniversitesien_US
dc.description.abstractThe goal of the present paper is to construct a method to obtain the solution of conformable fractional partial differential equations (CFPDEs). Since these systems can be transformed to partial differential equations (PDEs) by using wave transform, the reduced system can be solved by using differential transform method (DTM) solution methods. Based on this idea, we build an efficient solution procedure that reduces CFPDEs to PDEs via wave transform, then approximate the solution of obtained system by using Differential Transform Method (DTM) which is a special procedure for solving PDEs. As an example, we implement the method to time fractional Diffusion Equation (TFDE).en_US
dc.identifier.doi10.1166/jap.2018.1452
dc.identifier.endpage403en_US
dc.identifier.issn2168-1996
dc.identifier.issn2168-2003
dc.identifier.issue3en_US
dc.identifier.startpage399en_US
dc.identifier.urihttps://doi.org/10.1166/jap.2018.1452
dc.identifier.urihttps://hdl.handle.net/20.500.12483/9063
dc.identifier.volume7en_US
dc.identifier.wosWOS:000456113100016en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherAmer Scientific Publishersen_US
dc.relation.ispartofJournal of Advanced Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConformable Fractional Partial Differential Equationsen_US
dc.subjectFractional Wave Transform Methoden_US
dc.subjectDifferential Transform Methoden_US
dc.subjectTime Fractional Diffusion Equationen_US
dc.titleA New Method to Solve Time Fractional Diffusion Equations Arising in Chaos and Heat Conductionen_US
dc.typeArticleen_US

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