Semi-analytical solutions of the 3rd order fuzzy dispersive partial differential equations under fractional operators

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridUllah, Aman/0000-0003-4021-3599
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorAkgul, Ali
dc.contributor.authorAbdeljawad, Thabet
dc.date.accessioned2024-12-24T19:25:10Z
dc.date.available2024-12-24T19:25:10Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractThe purpose of this article is to extend the fractional third order dispersive PDE under singular and non-singular fractional operators via the notion of fuzziness. We investigate the fuzzy dispersive PDE in one and higher dimension under Caputo, Caputo-Fabrizio, and AtanganaBaleanu fractional operators and provide two examples to each derivative. We derive the general algorithm and numerical results in series of the models and test problems with the help of fuzzy Laplace transform. The numerical results confirm that solutions obtained in the fuzzy sense are more generalized than the fractional-order solution. We mention in remarks following each example that we recover the solutions of the fractional-order equations by putting the lower and upper functions of the fuzzy number ge equals to 1 in the fuzzy solutions of the proposed dispersive PDEs. We demonstrate the numerical results through 2D and 3D plots for different fractional-order and uncertainty k is an element of[0,1]. We provide a comparison between Caputo, Caputo-Fabrizio and Atangana-Baleanu fuzzy fractional dispersive PDE. In the end, we give the conclusion of the article and future work. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
dc.identifier.doi10.1016/j.aej.2021.04.065
dc.identifier.endpage5878
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85108120030
dc.identifier.scopusqualityQ1
dc.identifier.startpage5861
dc.identifier.urihttps://doi.org/10.1016/j.aej.2021.04.065
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6302
dc.identifier.volume60
dc.identifier.wosWOS:000702850300004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectUncertainty
dc.subjectFuzzy dispersive PDE
dc.subjectFuzzy Laplace transform
dc.titleSemi-analytical solutions of the 3rd order fuzzy dispersive partial differential equations under fractional operators
dc.typeArticle

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