A novel method for analysing the fractal fractional integrator circuit

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dc.authoridUllah, Aman/0000-0003-4021-3599
dc.authoridAhmad, Shabir/0000-0002-5610-6248
dc.contributor.authorAkgul, Ali
dc.contributor.authorAhmad, Shabir
dc.contributor.authorUllah, Aman
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAkgul, Esra Karatas
dc.date.accessioned2024-12-24T19:25:10Z
dc.date.available2024-12-24T19:25:10Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
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/).
dc.identifier.doi10.1016/j.aej.2021.01.061
dc.identifier.endpage3729
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85101990416
dc.identifier.scopusqualityQ1
dc.identifier.startpage3721
dc.identifier.urihttps://doi.org/10.1016/j.aej.2021.01.061
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6299
dc.identifier.volume60
dc.identifier.wosWOS:000637530300004
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectFractal-fractional derivative
dc.subjectStbility analysis
dc.subjectNumerical simulations
dc.titleA novel method for analysing the fractal fractional integrator circuit
dc.typeArticle

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