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Correcting dimensional mismatch in fractional models with power, exponential and proportional kernel: Application to electrical systems

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dc.contributor.author Correa-Escudero, I.L.
dc.contributor.author Gómez-Aguilar, J.F.
dc.contributor.author López-López, M.G.
dc.contributor.author Alvarado-Martínez, V.M.
dc.contributor.author Baleanu, D.
dc.date.accessioned 2024-03-04T11:13:11Z
dc.date.available 2024-03-04T11:13:11Z
dc.date.issued 2022-09
dc.identifier.citation Correa-Escudero, I.L.;...et.al. (2022). "Correcting dimensional mismatch in fractional models with power, exponential and proportional kernel: Application to electrical systems", Results in Physics, Vol.40. tr_TR
dc.identifier.issn 22113797
dc.identifier.uri http://hdl.handle.net/20.500.12416/7440
dc.description.abstract Fractional calculus is a powerful tool for describing diffusion phenomena, anomalous behaviors, and in general, systems with highly complex dynamics. However, the application of fractional operators for modeling purposes, produces a dimensional problem. In this paper, the fractional models of the RC, RL, RLC electrical circuits, a supercapacitor, a bank of supercapacitors, a LiFePO4 battery and a direct current motor are presented. A correction parameter is included in their formulation in order to preserve dimensionality in the physical equations. The optimal value of this parameter was determined via particle swarm optimization algorithm using numerical simulations and experimental data. Thus, a direct and effective approach for the construction of dimensionally corrected fractional models with power, exponential-decay and constant proportional Caputo hybrid derivative is presented. To show the effectiveness of the procedure, the time-response of the models is compared with experimental data and the modeling error is computed. The numerical solutions of the models were obtained using a numerical method based on the Adams methods. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.rinp.2022.105867 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Constant Proportional Caputo Hybrid Derivative tr_TR
dc.subject Electrical Systems tr_TR
dc.subject Exponential Decay-law tr_TR
dc.subject Fractional Calculus tr_TR
dc.subject Power-law tr_TR
dc.title Correcting dimensional mismatch in fractional models with power, exponential and proportional kernel: Application to electrical systems tr_TR
dc.type article tr_TR
dc.relation.journal Results in Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 40 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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