Computational analysis of the third order dispersive fractional PDE under exponential-decay and Mittag-Leffler type kernels

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dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.authoridUllah, Aman/0000-0003-4021-3599
dc.authoridShah, Kamal/0000-0002-8851-4844
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorShah, Kamal
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:24:16Z
dc.date.available2024-12-24T19:24:16Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThis article aims to investigate the fractional dispersive partial differential equations (FPDEs) under non-singular and non-local kernels. First, we study the fractional dispersive equations under the Caputo-Fabrizio fractional derivative in one and higher dimension. Second, we investigate the same equations under the Atangana-Baleanu derivative. The Laplace transform has an excellent convergence rate for the exact solution as compared to the other analytical methods. Therefore, we use Laplace transform to obtain the series solution of the proposed equations. We provide two examples of each equation to confirm the validity of the proposed scheme. The results and simulations of examples show higher convergence of the fractional-order solution to the integer-order solution. In the end, we provide the conclusion and physical interpretation of the figures.
dc.identifier.doi10.1002/num.22627
dc.identifier.endpage4548
dc.identifier.issn0749-159X
dc.identifier.issn1098-2426
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85096768062
dc.identifier.scopusqualityQ1
dc.identifier.startpage4533
dc.identifier.urihttps://doi.org/10.1002/num.22627
dc.identifier.urihttps://hdl.handle.net/20.500.12604/5919
dc.identifier.volume39
dc.identifier.wosWOS:000587339700001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofNumerical Methods For Partial Differential Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectAtangana? Baleanu derivative
dc.subjectCaputo? Fabrizio derivative
dc.subjectdispersive PDE
dc.subjectLaplace transform
dc.titleComputational analysis of the third order dispersive fractional PDE under exponential-decay and Mittag-Leffler type kernels
dc.typeArticle

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