Nonlinear Schrodinger equation under non-singular fractional operators: A computational study

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dc.authoridAli, Amir/0000-0002-2403-1296
dc.authoridNonlaopon, Kamsing/0000-0002-7469-5402
dc.contributor.authorKhan, Asif
dc.contributor.authorAli, Amir
dc.contributor.authorAhmad, Shabir
dc.contributor.authorSaifullah, Sayed
dc.contributor.authorNonlaopon, Kamsing
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this article, we present study on time fractional nonlinear Schrodinger equation. We investigate the behaviour of the aforesaid equation in two numerous types of operators having non-singular kernels, which are Atangana-Baleanu and Caputo-Fabrizio operators both considered in Caputo's sense. The considered operators are very useful as they present tremendous dynamics of the suggested equation. We obtain numerical and analytical solutions of the proposed equation under the aforementioned fractional operators by modified double Laplace transform. We present the error analysis of the suggested scheme, where we observed that the considered system primarily depend on time. When time is small, we obtain very small error between the exact and approximate solutions. For the efficiency of our considered scheme, we present some examples. Further, we present the graphical and numerical analysis of the scheme used for the solution.
dc.identifier.doi10.1016/j.rinp.2022.106062
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85141262471
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2022.106062
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6736
dc.identifier.volume43
dc.identifier.wosWOS:000932009400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectSchrodinger equation
dc.subjectDouble Laplace transform
dc.subjectAtangana-Baleanu operator
dc.subjectCaputo-Fabrizio operator
dc.titleNonlinear Schrodinger equation under non-singular fractional operators: A computational study
dc.typeArticle

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