Exact special solutions of space-time fractional Cahn-Allen equation by beta and M-truncated derivatives

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dc.contributor.authorSadaf, Maasoomah
dc.contributor.authorAkram, Ghazala
dc.contributor.authorInc, Mustafa
dc.contributor.authorDawood, Mirfa
dc.contributor.authorRezazadeh, Hadi
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:29:40Z
dc.date.available2024-12-24T19:29:40Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we consider the nonlinear space-time fractional form of Cahn-Allen equation (FCAE) with beta and M-truncated derivatives. Cahn-Allen equation (CAE) is commonly used in many problems of physics and engineering, such as, solidification problems, phase separation in iron alloys and others. We apply the improved tan(?(?)2)-expansion method (ITEM). We obtain four types of traveling wave solutions, including, trigonometric, hyperbolic, rational and exponential function solutions. We demonstrate some of the extracted solutions using definitions of the beta (BD) and M-truncated derivatives (MTD) to understand their dynamical behavior. We observe the fractional effects of the aforementioned derivatives on the related physical phenomena up to possible extent.
dc.identifier.doi10.1142/S0217979224501182
dc.identifier.issn0217-9792
dc.identifier.issn1793-6578
dc.identifier.issue8
dc.identifier.scopus2-s2.0-85158828398
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1142/S0217979224501182
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7200
dc.identifier.volume38
dc.identifier.wosWOS:000980179700005
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWorld Scientific Publ Co Pte Ltd
dc.relation.ispartofInternational Journal of Modern Physics B
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectBeta derivative
dc.subjectM-truncated derivative
dc.subjecttraveling wave solutions
dc.subjectFCAE
dc.subjectITEM
dc.titleExact special solutions of space-time fractional Cahn-Allen equation by beta and M-truncated derivatives
dc.typeArticle

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