A Comparative Analysis of the Fractional-Order Coupled Korteweg-De Vries Equations with the Mittag-Leffler Law

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dc.authoridKafle, Jeevan/0000-0001-5905-5696
dc.authoridMahariq, Ibrahim/0000-0002-7222-3014
dc.contributor.authorAljahdaly, Noufe H.
dc.contributor.authorAkgul, Ali
dc.contributor.authorShah, Rasool
dc.contributor.authorMahariq, Ibrahim
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.abstractThis article applies efficient methods, namely, modified decomposition method and new iterative transformation method, to analyze a nonlinear system of Korteweg-de Vries equations with the Atangana-Baleanu fractional derivative. The nonlinear fractional coupled systems investigated in this current analysis are the system of Korteweg-de Vries and the modified system of Korteweg-de Vries equations applied as a model in nonlinear physical phenomena arising in chemistry, biology, physics, and applied sciences. Approximate analytical results are represented in the form of a series with straightforward components, and some aspects showed an appropriate dependence on the values of the fractional-order derivatives. The convergence and uniqueness analysis is carried out. To comprehend the analytical procedure of both methods, three test examples are provided for the analytical results of the time-fractional KdV equation. Additionally, the efficiency of the mentioned procedures and the reduction in calculations provide broader applicability. It is also illustrated that the findings of the current methodology are in close harmony with the exact solutions. The series result achieved applying this technique is proved to be accurate and reliable with minimal calculations. The numerical simulations for obtained solutions are discussed for different values of the fractional order.
dc.identifier.doi10.1155/2022/8876149
dc.identifier.issn2314-4629
dc.identifier.issn2314-4785
dc.identifier.scopus2-s2.0-85125871664
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1155/2022/8876149
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7256
dc.identifier.volume2022
dc.identifier.wosWOS:000797871300003
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherHindawi Ltd
dc.relation.ispartofJournal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleA Comparative Analysis of the Fractional-Order Coupled Korteweg-De Vries Equations with the Mittag-Leffler Law
dc.typeArticle

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