Fuzzy-fractional modeling of Korteweg-de Vries equations in Gaussian-Caputo sense: New solutions via extended He-Mahgoub algorithm

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dc.authoridQayyum, Mubashir/0000-0002-6701-5640
dc.contributor.authorQayyum, Mubashir
dc.contributor.authorAhmad, Efaza
dc.contributor.authorAkgul, Ali
dc.contributor.authorEl Din, Sayed M.
dc.date.accessioned2024-12-24T19:25:20Z
dc.date.available2024-12-24T19:25:20Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe objective of the manuscript is to model and analyze nonlinear waves dynamics through fuzzy-fractional calculus. Since fuzzy logic facilities the waves dynamics to be uncertain, while fractional calculus captures the memory effect inherent in wave propagation. The current study focuses on modeling and analysis of fuzzy-fractional KdV equations namely Burgers KdV, Caudrey-Dodd-Gibbon KdV, and generalized KdV. To include uncertainty in the models, symmetric Gaussian fuzzy numbers are utilized in three different cases at upper and lower bounds in fractional environment. For numerical simulations, hybrid of Mahgoub transformation with homotopy perturbation is proposed and successfully implemented in fuzzy-fractional sense. Validity and competence of proposed methodology is confirmed theoretically by proving existence, uniqueness and convergence. The crest and trough in waves are analyzed in 2D and 3D simulations with respect to time, space, fractional parameter, and k-level sets. The obtained results highlight the accuracy of proposed methodology in case of nonlinear fuzzy-fractional waves dynamics and can be extended to other models in science and engineering.
dc.identifier.doi10.1016/j.asej.2023.102623
dc.identifier.issn2090-4479
dc.identifier.issn2090-4495
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85181905682
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.asej.2023.102623
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6363
dc.identifier.volume15
dc.identifier.wosWOS:001219677700001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAin Shams Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectFuzzy fractional modeling
dc.subjectSymmetric Gaussian fuzzy numbers
dc.subjectKdV Burgers
dc.subjectCaudrey-Dodd-Gibbon KdV
dc.subjectSeventh order generalized KdV
dc.subjectMahgoub transform
dc.subjectHomotopy perturbation method
dc.titleFuzzy-fractional modeling of Korteweg-de Vries equations in Gaussian-Caputo sense: New solutions via extended He-Mahgoub algorithm
dc.typeArticle

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