Solutions of fractional gas dynamics equation by a new technique

Basit Öğe Kaydı
dc.authoridCordero, Alicia/0000-0002-7462-9173
dc.authoridTorregrosa, Juan R./0000-0002-9893-0761
dc.contributor.authorAkgul, Ali
dc.contributor.authorCordero, Alicia
dc.contributor.authorRamon Torregrosa, Juan
dc.date.accessioned2024-12-24T19:24:13Z
dc.date.available2024-12-24T19:24:13Z
dc.date.issued2020
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, a novel technique is formed to obtain the solution of a fractional gas dynamics equation. Some reproducing kernel Hilbert spaces are defined. Reproducing kernel functions of these spaces have been found. Some numerical examples are shown to confirm the efficiency of the reproducing kernel Hilbert space method. The accurate pulchritude of the paper is arisen in its strong implementation of Caputo fractional order time derivative on the classical equations with the success of the highly accurate solutions by the series solutions. Reproducing kernel Hilbert space method is actually capable of reducing the size of the numerical work. Numerical results for different particular cases of the equations are given in the numerical section.
dc.description.sponsorshipSpanish Ministerio de Ciencia, Innovacion y Universidades [PGC2018-095896-B-C22]; Generalitat Valenciana [PROMETEO/2016/089]
dc.description.sponsorshipThis research was partially supported by Spanish Ministerio de Ciencia, Innovacion y Universidades PGC2018-095896-B-C22 and Generalitat Valenciana PROMETEO/2016/089.
dc.identifier.doi10.1002/mma.5950
dc.identifier.endpage1358
dc.identifier.issn0170-4214
dc.identifier.issn1099-1476
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85075247945
dc.identifier.scopusqualityQ1
dc.identifier.startpage1349
dc.identifier.urihttps://doi.org/10.1002/mma.5950
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5900
dc.identifier.volume43
dc.identifier.wosWOS:000497379400001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofMathematical Methods in The Applied Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectfractional gas dynamics equation
dc.subjectHilbert space
dc.subjectoperators
dc.titleSolutions of fractional gas dynamics equation by a new technique
dc.typeArticle

Dosyalar

Koleksiyon

WOS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu