Analysis of Time Fractional Diffusion Equation Arising in Ocean Pollution with Different Kernels

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dc.contributor.authorUllah, Inayat
dc.contributor.authorUllah, Aman
dc.contributor.authorAhmad, Shabir
dc.contributor.authorIkramullah
dc.contributor.authorAkgül, Ali
dc.date.accessioned2024-12-24T19:10:13Z
dc.date.available2024-12-24T19:10:13Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe objective of this paper is to look the solution of the ocean oil equations under the three different fractional operators. We analyze the fractional ocean oil equation in one dimension using the Caputo fractional derivative. Then, using the Caputo–Fabrizio derivative, we investigate the same ocean oil equation. Finally, the Atangana–Baleanu derivative is applied to the same problem. In comparison to other analytical approaches, the Laplace transform (LT) is an easy and efficient method which has a good convergence rate for the precise solution. As a result, we employ the LT to achieve the suggested equation’s series solution. To explore the efficiency and validity of the suggested method, we present two examples of the provided equation. The error analysis of is carried out through computationally and graphically. The comparison between different Caputo, CF and ABC ocean oil equation is provided through numeric data and graphs. Finally, we offer a conclusion as well as a physical explanation of the figures. © 2023, The Author(s), under exclusive licence to Springer Nature India Private Limited.
dc.identifier.doi10.1007/s40819-023-01498-3
dc.identifier.issn2349-5103
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85154041291
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org10.1007/s40819-023-01498-3
dc.identifier.urihttps://hdl.handle.net/20.500.12604/4011
dc.identifier.volume9
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringer
dc.relation.ispartofInternational Journal of Applied and Computational Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241222
dc.subjectAtangana–Baleanu operator
dc.subjectCaputo operator
dc.subjectCaputo–Fabrizio operator
dc.subjectOcean oil equation
dc.titleAnalysis of Time Fractional Diffusion Equation Arising in Ocean Pollution with Different Kernels
dc.typeArticle

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