Analysis of Fractional-Order Regularized Long-Wave Models via a Novel Transform

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dc.authorid/0000-0001-7266-1893
dc.authoridShah, Nehad Ali/0000-0002-1949-5643
dc.authoridKafle, Jeevan/0000-0001-5905-5696
dc.contributor.authorShah, Nehad Ali
dc.contributor.authorEl-Zahar, Essam R.
dc.contributor.authorAkgul, Ali
dc.contributor.authorKhan, Adnan
dc.contributor.authorKafle, Jeevan
dc.date.accessioned2024-12-24T19:29:49Z
dc.date.available2024-12-24T19:29:49Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractA new integral transform method for regularized long-wave (RLW) models having fractional-order is presented in this study. Although analytical approaches are challenging to apply to such models, semianalytical or numerical techniques have received much attention in the literature. We propose a new technique combining integral transformation, the Elzaki transform (ET), and apply it to regularized long-wave equations in this study. The RLW equations describe ion-acoustic waves in plasma and shallow water waves in seas. The results obtained are extremely important and necessary for describing various physical phenomena. This work considers an up-to-date approach and fractional operators in this context to obtain satisfactory approximate solutions to the proposed problems. We first define the Elzaki transforms of the Caputo fractional derivative (CFD) and Atangana-Baleanu fractional derivative (ABFD) and implement them for solving RLW equations. We can readily obtain numerical results that provide us with improved approximations after only a few iterations. The derived solutions were found to be in close contact with the exact solutions. Furthermore, the suggested procedure has attained the best level of accuracy. In fact, when compared to other analytical techniques for solving nonlinear fractional partial differential equations, the present method might be considered one of the finest.
dc.identifier.doi10.1155/2022/2754507
dc.identifier.issn2314-8896
dc.identifier.issn2314-8888
dc.identifier.scopus2-s2.0-85132357619
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1155/2022/2754507
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7246
dc.identifier.volume2022
dc.identifier.wosWOS:000813886800003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherHindawi Ltd
dc.relation.ispartofJournal of Function Spaces
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleAnalysis of Fractional-Order Regularized Long-Wave Models via a Novel Transform
dc.typeArticle

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