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Symmetry breaking of a time-2d space fractional wave equation in a complex domain

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dc.contributor.author Ibrahim, Rabha W.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-01-19T12:49:01Z
dc.date.available 2023-01-19T12:49:01Z
dc.date.issued 2021-09
dc.identifier.citation Ibrahim, Rabha W.; Baleanu, Dumitru (2021). "Symmetry breaking of a time-2d space fractional wave equation in a complex domain", Axioms, Vol. 10, No. 3. tr_TR
dc.identifier.issn 2075-1680
dc.identifier.uri http://hdl.handle.net/20.500.12416/6088
dc.description.abstract (1) Background: symmetry breaking (self-organized transformation of symmetric stats) is a global phenomenon that arises in an extensive diversity of essentially symmetric physical structures. We investigate the symmetry breaking of time-2D space fractional wave equation in a complex domain; (2) Methods: a fractional differential operator is used together with a symmetric operator to define a new fractional symmetric operator. Then by applying the new operator, we formulate a generalized time-2D space fractional wave equation. We shall utilize the two concepts: subordination and majorization to present our results; (3) Results: we obtain different formulas of analytic solutions using the geometric analysis. The solution suggests univalent (1-1) in the open unit disk. Moreover, under certain conditions, it was starlike and dominated by a chaotic function type sine. In addition, the authors formulated a fractional time wave equation by using the Atangana–Baleanu fractional operators in terms of the Riemann–Liouville and Caputo derivatives. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3390/axioms10030141 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Analytic Function tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Fractional Differential Operator tr_TR
dc.subject Majorization tr_TR
dc.subject Open Unit Disk tr_TR
dc.subject Open Unit Disk tr_TR
dc.subject Subordination and Superordination tr_TR
dc.subject Symmetric Operator tr_TR
dc.subject Univalent Function tr_TR
dc.subject Wave Equation tr_TR
dc.title Symmetry breaking of a time-2d space fractional wave equation in a complex domain tr_TR
dc.type article tr_TR
dc.relation.journal Axioms tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 10 tr_TR
dc.identifier.issue 3 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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