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A novel method for analysing the fractal fractional integrator circuit

dc.contributor.authorAkgül, Ali
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAkgül, Esra Karataş
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-03-02T07:29:51Z
dc.date.available2022-03-02T07:29:51Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn 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/).en_US
dc.description.publishedMonth8
dc.identifier.citationAkgül, Ali...et al. (2021). "A novel method for analysing the fractal fractional integrator circuit", Alexandria Engineering Journal, Vol. 60, No. 4, pp. 3721-3729.en_US
dc.identifier.doi10.1016/j.aej.2021.01.061
dc.identifier.endpage3729en_US
dc.identifier.issn1110-0168
dc.identifier.issue4en_US
dc.identifier.startpage3721en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5068
dc.identifier.volume60en_US
dc.language.isoenen_US
dc.relation.ispartofAlexandria Engineering Journalen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractal-Fractional Derivativeen_US
dc.subjectStbility Analysisen_US
dc.subjectNumerical Simulationsen_US
dc.titleA novel method for analysing the fractal fractional integrator circuittr_TR
dc.titleA Novel Method for Analysing the Fractal Fractional Integrator Circuiten_US
dc.typeArticleen_US
dspace.entity.typePublication

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