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Mathematical modelling of fractional order circuits

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Miguel Angel Moreles, Rafael Lainez

Classical Physics · Submitted 21 Jan 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim A fractional differential equation model is obtained with Caputo derivatives.

how it is stated · asserted 1.00 read the record →

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arXiv ID1602.03541 (version 1)
Pith IDWJJTLZ2F, Pith's permanent record of this paper and its review
CitationMiguel Angel Moreles, Rafael Lainez. "Mathematical modelling of fractional order circuits." arXiv:1602.03541 (2016). https://pith.science/paper/WJJTLZ2F
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,029 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this work a classical derivation of fractional order circuits models is presented. Generalized constitutive equations in terms of fractional Riemann-Liouville derivatives are introduced in the Maxwell's equations. Next the Kirchhoff voltage law is applied in a RCL circuit configuration. A fractional differential equation model is obtained with Caputo derivatives. Thus standard initial conditions apply.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this work a classical derivation of fractional order circuits models is presented. contribution 0.95 0.89 0.10 asserted 0.99
s1 Generalized constitutive equations in terms of fractional Riemann-Liouville derivatives are introduced in the Maxwell's equations. method 0.82 0.78 0.06 asserted 1.00
s2 Next the Kirchhoff voltage law is applied in a RCL circuit configuration. method 0.99 0.81 0.03 asserted 1.00
s3 A fractional differential equation model is obtained with Caputo derivatives. method 0.46 0.88 0.25 asserted 1.00
s4 Thus standard initial conditions apply. interpretation 0.63 0.51 0.10 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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  • references and citing sentences
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  • T body sentences
  • C citations
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this work a classical derivation of fractional order circuits models is presented. Generalized constitutive equations in terms of fractional Riemann-Liouville derivatives are introduced in the Maxwell's equations. Next the Kirchhoff voltage law is applied in a RCL circuit configuration. A fractional differential equation model is obtained with Caputo derivatives. Thus standard initial conditions apply.

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