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

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dc.authoridSakar, Mehmet Giyas/0000-0002-1911-2622
dc.contributor.authorAcan, Omer
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAl Qurashi, Maysaa Mohamed
dc.contributor.authorSakar, Mehmet Giyas
dc.date.accessioned2024-12-24T19:33:34Z
dc.date.available2024-12-24T19:33:34Z
dc.date.issued2017
dc.departmentSiirt Üniversitesi
dc.description.abstractIn 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.
dc.description.sponsorshipInternational Scientific Partnership Program ISPP at King Saud University [63]
dc.description.sponsorshipThe authors extend their appreciation to the International Scientific Partnership Program ISPP at King Saud University for funding this research work through ISPP# 63.
dc.identifier.doi10.3390/e19070296
dc.identifier.issn1099-4300
dc.identifier.issue7
dc.identifier.scopus2-s2.0-85022191855
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/e19070296
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8200
dc.identifier.volume19
dc.identifier.wosWOS:000406701500006
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofEntropy
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectreduced differential transform method
dc.subjectheat like equation
dc.subjectwave like equation
dc.subjectfractional partial differential equations
dc.subjectlocal fractional derivative
dc.titleAnalytical Approximate Solutions of (n+1)-Dimensional Fractal Heat-Like and Wave-Like Equations
dc.typeArticle

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