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A new and general fractional Lagrangian approach: A capacitor microphone case

dc.contributor.authorJajarmi, A.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorVahid, K. Zarghami
dc.contributor.authorPirouz, H. Mohammadi
dc.contributor.authorAsad, J. H.
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-02-23T08:06:40Z
dc.date.available2022-02-23T08:06:40Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, a new and general fractional formulation is presented to investigate the complex behaviors of a capacitor microphone dynamical system. Initially, for both displacement and electrical charge, the classical Euler-Lagrange equations are constructed by using the classical Lagrangian approach. Expanding this classical scheme in a general fractional framework provides the new fractional Euler-Lagrange equations in which non-integer order derivatives involve a general function as their kernel. Applying an appropriate matrix approximation technique changes the latter fractional formulation into a nonlinear algebraic system. Finally, the derived system is solved numerically with a discussion on its dynamical behaviors. According to the obtained results, various features of the capacitor microphone under study are discovered due to the flexibility in choosing the kernel, unlike the previous mathematical formalism.en_US
dc.description.publishedMonth12
dc.identifier.citationJajarmi, A...et al. (2021). "A new and general fractional Lagrangian approach: A capacitor microphone case", Results in Physics, Vol. 31.en_US
dc.identifier.doi10.1016/j.rinp.2021.104950
dc.identifier.issn2211-3797
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5041
dc.identifier.volume31en_US
dc.language.isoenen_US
dc.relation.ispartofResults in Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Calculusen_US
dc.subjectEuler–Lagrange Equationsen_US
dc.subjectGeneral Kernel Functionen_US
dc.subjectCapacitor Microphone Systemen_US
dc.subjectMatrix Approximation Techniqueen_US
dc.titleA new and general fractional Lagrangian approach: A capacitor microphone casetr_TR
dc.titleA New and General Fractional Lagrangian Approach: A Capacitor Microphone Caseen_US
dc.typeArticleen_US
dspace.entity.typePublication

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