The Schrodinger-KdV equation of fractional order with Mittag-Leffler nonsingular kernel

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dc.contributor.authorYavuz, Mehmet
dc.contributor.authorSulaiman, Tukur Abdulkadir
dc.contributor.authorYusuf, Abdullahi
dc.contributor.authorAbdeljawad, Thabet
dc.date.accessioned2024-02-23T14:00:17Z
dc.date.available2024-02-23T14:00:17Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractFractional order differential equations are utilized for modeling many complicated physical and natural phenomena in nonlinear sciences and related fields. In this manuscript, the fractional order Schrodinger-KdV equation in the sense of Atangana-Baleanu derivative is investigated. The Schrodinger-KdV equation demonstrates various types of wave propagation such as Langmuir wave, dust-acoustic wave and electromagnetic waves in plasma physics. Using the fixed-point theorem, the existence and uniqueness to the solution of the studied nonlinear model is established. Using the modified Laplace decomposition method, we establish the exact solution to fractional order Schrodinger-KdV equation. The numerical simulations to the reported result are presented. The comparison between analytical and numerical approximations is also presented. It is shown that the approximate-analytical results are compatible with the analytical results via the L-2 and L-infinity error norms. We compare our result with some existing results in the literature. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.en_US
dc.description.sponsorshipTUBITAK (The Scientific and Technological Research Council of Turkey); Prince Sultan University [RG-DES-2017-01-17]en_US
dc.description.sponsorshipM. Yavuz was supported by TUBITAK (The Scientific and Technological Research Council of Turkey). T. Abdeljawad would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM), Group Number RG-DES-2017-01-17.en_US
dc.identifier.doi10.1016/j.aej.2021.01.009
dc.identifier.endpage2724en_US
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85100070741en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage2715en_US
dc.identifier.urihttps://doi.org/10.1016/j.aej.2021.01.009
dc.identifier.urihttps://hdl.handle.net/20.500.12452/11537
dc.identifier.volume60en_US
dc.identifier.wosWOS:000621216500007en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofAlexandria Engineering Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSchrodinger-Kdv Equatoinen_US
dc.subjectAtangana-Baleanu Fractional Operatoren_US
dc.subjectModified Laplace Decompo-Sition Methoden_US
dc.subjectComparative Analysisen_US
dc.subjectError Analysisen_US
dc.subjectNumerical Schemeen_US
dc.titleThe Schrodinger-KdV equation of fractional order with Mittag-Leffler nonsingular kernelen_US
dc.typeArticleen_US

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