Modelling and simulation of nabla fractional dynamic systems with nonzero initial conditions Article Swipe

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Yiheng Wei , Jiachang Wang , Peter W. Tse , Yong Wang ·

YOU? · · 2019 · Open Access · · DOI: https://doi.org/10.1002/asjc.2232

The paper focuses on the numerical approximation of discrete fractional order systems with the conditions of nonzero initial instant and nonzero initial state. First, the inverse nabla Laplace transform is developed and the equivalent infinite dimensional frequency distributed model of discrete fractional order system is introduced. Then, resorting the nabla discrete Laplace transform, the rationality of the finite dimensional frequency distributed model approaching the infinite one is illuminated. Based on this, an original algorithm to estimate the parameters of the approximate model is proposed with the help of vector fitting method. Additionally, the applicable object is extended from a sum operator to a general system. Three numerical examples are performed to illustrate the applicability and flexibility of the introduced methodology.

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Mathematics

Mathematical Analysis

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Laplace transform Nabla symbol Mathematics Applied mathematics Discretization Operator (biology) Flexibility (engineering) Inverse Laplace transform Fractional calculus Mathematical optimization Mathematical analysis Physics Repressor Gene Transcription factor Statistics Chemistry Biochemistry Quantum mechanics Omega

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Type: article
Language: en
Landing Page: https://doi.org/10.1002/asjc.2232
OA Status: green
Cited By: 20
References: 38
Related Works: 10
OpenAlex ID: https://openalex.org/W2992142878

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DOI: https://doi.org/10.1002/asjc.2232

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Title: Modelling and simulation of nabla fractional dynamic systems with nonzero initial conditions

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Type: article

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Language: en

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Publication year: 2019

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Publication date: 2019-08-27

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Authors: Yiheng Wei, Jiachang Wang, Peter W. Tse, Yong Wang

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Landing page: https://doi.org/10.1002/asjc.2232

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OA status: green

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OA URL: https://arxiv.org/pdf/1901.09212

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Concepts: Laplace transform, Nabla symbol, Mathematics, Applied mathematics, Discretization, Operator (biology), Flexibility (engineering), Inverse Laplace transform, Fractional calculus, Mathematical optimization, Mathematical analysis, Physics, Repressor, Gene, Transcription factor, Statistics, Chemistry, Biochemistry, Quantum mechanics, Omega

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Cited by: 20

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Citations by year (recent): 2025: 2, 2024: 4, 2023: 1, 2022: 3, 2021: 6

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References (count): 38

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