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Fractional dynamics of an erbium-doped fiber laser model

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dc.contributor.author Gomez-Aguilar, J. F.
dc.contributor.author Saad, K. M.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-02-07T13:00:04Z
dc.date.available 2020-02-07T13:00:04Z
dc.date.issued 2019-09
dc.identifier.citation Gomez-Aguilar, J. F.; Saad, K. M.; Baleanu, D., "Fractional dynamics of an erbium-doped fiber laser model", Optical and Quantum Electronics, Vol. 51, No.9, (2019). tr_TR
dc.identifier.issn 0306-8919
dc.identifier.uri http://hdl.handle.net/20.500.12416/2410
dc.description.abstract In this paper we investigate the model of the time-fractional dynamics of an erbium-doped fiber laser model (TFDEFL) with Liouville-Caputo (LC), Caputo-Fabrizio-Caputo (CFC) and Atangana-Baleanu-Caputo (ABC) time-fractional derivatives. We employ the homotopy analysis transform method (HATM) to calculate approximate solutions for the TFDEFL model. This method gives the solution in the form of a rapidly convergent series that can ensure the convergence in solving the resultant series. We study the convergence analysis of HATM by computing the interval of convergence through the h-curves, the residual error function and the average residual error, respectively. We also show the effectiveness and accuracy of this method by comparing the approximate solutions based upon the LC, CFC and ABC time-fractional derivatives. tr_TR
dc.language.iso eng tr_TR
dc.publisher Springer tr_TR
dc.relation.isversionof 10.1007/s11082-019-2033-3 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Erbium-Doped Fiber Laser Model tr_TR
dc.subject Fractional Derivatives tr_TR
dc.subject Homotopy Analysis Transform Method tr_TR
dc.subject Analytical Solutions tr_TR
dc.title Fractional dynamics of an erbium-doped fiber laser model tr_TR
dc.type article tr_TR
dc.relation.journal Optical and Quantum Electronics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 51 tr_TR
dc.identifier.issue 9 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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