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A detailed study on a new (2+1)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative

dc.contributor.authorHosseini, K.
dc.contributor.authorIlie, M.
dc.contributor.authorMirzazade, M.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-12-31T11:29:20Z
dc.date.available2020-12-31T11:29:20Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe present article aims to present a comprehensive study on a nonlinear time-fractional model involving the Caputo-Fabrizio (CF) derivative. More explicitly, a new (2+1)-dimensional mKdV (2D-mKdV) equation involving the Caputo-Fabrizio time-fractional derivative is considered and an analytic approximation for it is retrieved through a systematic technique, called the homotopy analysis transform (HAT) method. Furthermore, after proving the Lipschitz condition for the kernel psi (x,y,t;u), the fixed-point theorem is formally utilized to demonstrate the existence and uniqueness of the solution of the new 2D-mKdV equation involving the CF time-fractional derivative. A detailed study finally is carried out to examine the effect of the Caputo-Fabrizio operator on the dynamics of the obtained analytic approximation.en_US
dc.description.publishedMonth7
dc.identifier.citationHosseini, K...et al. (2020). "A detailed study on a new (2+1)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivative", Advances in Difference Equations, Vol. 2020, No. 1.en_US
dc.identifier.doi10.1186/s13662-020-02789-5
dc.identifier.issn1687-1847
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4421
dc.identifier.volume2020en_US
dc.language.isoenen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subject(2 + 1)-Dimensional Mkdv Equationen_US
dc.subjectCaputo–Fabrizio Time-Fractional Derivativeen_US
dc.subjectHomotopy Analysis Transform Methoden_US
dc.subjectAnalytic Approximationen_US
dc.subjectFixed-Point Theoremen_US
dc.subjectExistence and Uniqueness of the Solutionen_US
dc.titleA detailed study on a new (2+1)-dimensional mKdV equation involving the Caputo-Fabrizio time-fractional derivativetr_TR
dc.titleA Detailed Study on a New (2+1)-Dimensional Mkdv Equation Involving the Caputo-Fabrizio Time-Fractional Derivativeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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