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A novel method for analysing the fractal fractional integrator circuit

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dc.contributor.author Akgül, Ali
dc.contributor.author Ahmad, Shabir
dc.contributor.author Ullah, Aman
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Akgül, Esra Karataş
dc.date.accessioned 2022-03-02T07:29:51Z
dc.date.available 2022-03-02T07:29:51Z
dc.date.issued 2021-08
dc.identifier.citation Akgül, Ali...et al. (2021). "A novel method for analysing the fractal fractional integrator circuit", Alexandria Engineering Journal, Vol. 60, No. 4, pp. 3721-3729. tr_TR
dc.identifier.issn 1110-0168
dc.identifier.uri http://hdl.handle.net/20.500.12416/5068
dc.description.abstract In this article, we propose the integrator circuit model by the fractal-fractional operator in which fractional-order has taken in the Atangana-Baleanu sense. Through Schauder's fixed point theorem, we establish existence theory to ensure that the model posses at least one solution and via Banach fixed theorem, we guarantee that the proposed model has a unique solution. We derive the results for Ulam-Hyres stability by mean of non-linear functional analysis which shows that the proposed model is Ulam-Hyres stable under the new fractal-fractional derivative. We establish the numerical results of the model under consideration through Atanaga-Toufik method. We simulate the numerical results for different sets of fractional order and fractal dimension.(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-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/). tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2021.01.061 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractal-Fractional Derivative tr_TR
dc.subject Stbility Analysis tr_TR
dc.subject Numerical Simulations tr_TR
dc.title A novel method for analysing the fractal fractional integrator circuit tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 60 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 3721 tr_TR
dc.identifier.endpage 3729 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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