Mathematical and numerical modeling of drilling system dynamics using CF fractional differentiation

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dc.authorid0000-0002-4443-6610
dc.contributor.authorErdoğan, Mahir Ceylan
dc.date.accessioned2026-06-03T06:12:47Z
dc.date.available2026-06-03T06:12:47Z
dc.date.issued2026
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn this work, I propose a Caputo–Fabrizio fractional mathematical model of a drilling system (CFFMMDS) to investigate the coupled dynamics of an induction motor-driven drilling assembly within a unified fractional-order framework. The governing equations were formulated using a nonsingular Caputo–Fabrizio fractional derivative with an exponential memory kernel to characterize the temporal dependencies among the system state variables. The resulting fractional-order system was solved using the Caputo–Fabrizio q-Elzaki homotopy analysis transform method (CFq-EHATM) to derive semi-analytical solution series and to conduct a numerical investigation of the system response under varying fractional orders. The results indicated that a decrease in the fractional order 𝜇 results in attenuated growth and decay rates. This trend is consistent with the intrinsic memory structure of the Caputo–Fabrizio operator, which distributes the influence of past states over time. The proposed framework enables the analysis of the temporal evolution of coupled state variables in dynamic systems exhibiting history-dependent behavior.
dc.identifier.citationErdoğan, M. C. (2026). Mathematical and numerical modeling of drilling system dynamics using CF fractional differentiation. AIMS Mathematics, 11(5), pp. 14820-14839. https://doi.org/10.3934/math.2026610
dc.identifier.doi10.3934/math.2026610
dc.identifier.endpage14839
dc.identifier.issn2473-6988
dc.identifier.issue5
dc.identifier.scopusqualityQ1
dc.identifier.startpage14820
dc.identifier.urihttps://doi.org/10.3934/math.2026610
dc.identifier.urihttps://hdl.handle.net/20.500.13055/1494
dc.identifier.volume11
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakPubMed
dc.indekslendigikaynak.otherSCI-E - Science Citation Index Expanded
dc.institutionauthorErdoğan, Mahir Ceylan
dc.institutionauthorid0000-0002-4443-6610
dc.language.isoen
dc.publisherAIMS Press
dc.relation.ispartofAIMS Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectCaputo–Fabrizio Fractional Derivative
dc.subjectDrilling System Dynamics
dc.subjectMathematical Modelling
dc.titleMathematical and numerical modeling of drilling system dynamics using CF fractional differentiation
dc.typeArticle
dspace.entity.typePublication

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