Fractional order model for complex Layla and Majnun love story with chaotic behaviour

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dc.authoridFarman, Dr. Muhamamd/0000-0001-7616-0500
dc.authoridAldosary, Saud Fahad/0000-0001-7589-1352
dc.contributor.authorFarman, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorAldosary, Saud Fahad
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorAhmad, Aqeel
dc.date.accessioned2024-12-24T19:25:11Z
dc.date.available2024-12-24T19:25:11Z
dc.date.issued2022
dc.departmentSiirt Üniversitesi
dc.description.abstractThe main purpose of the present paper is to develop and analyze fractional order dynamical model describing the change in behavior exhibited by a couple in a passionate relationship of love. Model is treated with advanced fractional operators like Atangana-Baleanu Caputo sense, Atanagana-Toufik scheme, and fractal fractional for dynamical behavior of real love story. Its ability is to show constantly changed chaotic behavior of two individuals in the relationship, the model was previously expressed in love triangles. The System is analyzed by using the fixed point theory technique, the existence and uniqueness of system are proved as well as analyzed qualitatively. Also verify the local and global stability of the fractional order system. Numerical simulations are made with the Atanagana-Toufik scheme and fractal fractional operator to measure the emotions and love relationships between two peoples. Advanced approach of such applications opens the path to foresee the love relation after observing the human personality.(c) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).
dc.identifier.doi10.1016/j.aej.2021.12.018
dc.identifier.endpage6738
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue9
dc.identifier.scopus2-s2.0-85121748365
dc.identifier.scopusqualityQ1
dc.identifier.startpage6725
dc.identifier.urihttps://doi.org/10.1016/j.aej.2021.12.018
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6310
dc.identifier.volume61
dc.identifier.wosWOS:000752134300007
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectStability
dc.subjectUniqueness
dc.subjectLayla-Majnun
dc.subjectFractional Operator
dc.subjectChaotic behavior
dc.titleFractional order model for complex Layla and Majnun love story with chaotic behaviour
dc.typeArticle

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