Exact analytical wave solutions for space-time variable-order fractional modified equal width equation

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dc.contributor.authorAli, Umair
dc.contributor.authorAhmad, Hijaz
dc.contributor.authorBaili, Jamel
dc.contributor.authorBotmart, Thongchai
dc.contributor.authorAldahlan, Maha A.
dc.date.accessioned2022-09-27T07:53:55Z
dc.date.available2022-09-27T07:53:55Z
dc.date.issued2022en_US
dc.departmentRektörlük, Bilişim Teknolojileri Uygulama ve Araştırma Merkezien_US
dc.description.abstractThe variable-order evolution equation is an impressive mathematical model that explain complex dynamical problems efficiently and accurately. This latest research investigates the modified equal width nonlinear space–time variable-order fractional differential equation and fractional derivative operator in the sense of Caputo. Using transformation, an ordinary differential equation is obtained from the variable-order differential equation. For accuracy, the space–time variable-order fractional modified equal width equation is solved by the modified (G’/G) -expansion method. This model describes the simulation for one-dimensional wave transmission in nonlinear media with dispersion processes. As a result, new traveling wave solutions are developed for various values of parameters. The obtained solutions have several applications in a recent area of research in mathe- matical physics. The obtained graphical solutions are in the form of singular solitons, kink solitons and periodic solitons waves which demonstrate that the physical signifance and dynamical behaviors of fractional variable- order differential equations and the proposed method are more effective, powerful, and easy in solving prob- lems arising in mathematical physicsen_US
dc.identifier.doi10.1016/j.rinp.2022.105216en_US
dc.identifier.scopus2-s2.0-85122784458en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11467/5350
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2022.105216
dc.identifier.volume33en_US
dc.identifier.wosWOS:000777762100002en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofResults in Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSpace-time variable-order fractional modified equal width equationen_US
dc.subject(G’/G)-expansion method (EM)en_US
dc.subjectGeneralized Riccati equation (GRE)en_US
dc.subjectRational expansion procedure (REP)en_US
dc.titleExact analytical wave solutions for space-time variable-order fractional modified equal width equationen_US
dc.typeArticleen_US

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