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Analytical Approximate Solutions of (n+1)-Dimensional Fractal Heat-Like and Wave-Like Equations

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dc.contributor.author Açan, Ömer
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Al Qurashi, Maysaa Mohamed
dc.contributor.author Sakar, Mehmet Giyas
dc.date.accessioned 2019-12-16T13:28:13Z
dc.date.available 2019-12-16T13:28:13Z
dc.date.issued 2017-07
dc.identifier.citation Acan, Omer...et al. (2017) Analytical Approximate Solutions of (n+1)-Dimensional Fractal Heat-Like and Wave-Like Equations, Entropy, 19(7). tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/2155
dc.description.abstract In this paper, we propose a new type (n + 1)-dimensional reduced differential transform method (RDTM) based on a local fractional derivative (LFD) to solve (n + 1)-dimensional local fractional partial differential equations (PDEs) in Cantor sets. The presented method is named the (n + 1)-dimensional local fractional reduced differential transform method (LFRDTM). First the theories, their proofs and also some basic properties of this procedure are given. To understand the introduced method clearly, we apply it on the (n + 1)-dimensional fractal heat-like equations (HLEs) and wave-like equations (WLEs). The applications show that this new technique is efficient, simply applicable and has powerful effects in (n + 1)-dimensional local fractional problems. tr_TR
dc.language.iso eng tr_TR
dc.publisher MDPI tr_TR
dc.relation.isversionof 10.3390/e19070296 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Reduced Differential Transform Method tr_TR
dc.subject Heat Like Equation tr_TR
dc.subject Wave Like Equation tr_TR
dc.subject Fractional Partial Differential Equations tr_TR
dc.subject Local Fractional Derivative tr_TR
dc.title Analytical Approximate Solutions of (n+1)-Dimensional Fractal Heat-Like and Wave-Like Equations tr_TR
dc.type article tr_TR
dc.relation.journal Entropy tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 19 tr_TR
dc.identifier.issue 7 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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