The Analysis of Fractional‐Order System Delay Differential Equations Using a Numerical Method Article Swipe
Pongsakorn Sunthrayuth
,
Hina M. Dutt
,
Fazal Ghani
,
Mohammad Asif Arefin
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1155/2022/3570667
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1155/2022/3570667
To solve fractional delay differential equation systems, the Laguerre Wavelets Method (LWM) is presented and coupled with the steps method in this article. Caputo fractional derivative is used in the proposed technique. The results show that the current procedure is accurate and reliable. Different nonlinear systems have been solved, and the results have been compared to the exact solution and different methods. Furthermore, it is clear from the figures that the LWM error converges quickly when compared to other approaches. When compared with the exact solution to other approaches, it is clear that LWM is more accurate and gets closer to the exact solution faster. Moreover, on the basis of the novelty and scientific importance, the present method can be extended to solve other nonlinear fractional‐order delay differential equations.
Related Topics
Concepts
Fractional calculus
Nonlinear system
Laguerre polynomials
Applied mathematics
Computer science
Novelty
Differential equation
Wavelet
Order (exchange)
Basis (linear algebra)
Mathematics
Mathematical analysis
Quantum mechanics
Philosophy
Theology
Physics
Economics
Geometry
Finance
Artificial intelligence
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1155/2022/3570667
- https://downloads.hindawi.com/journals/complexity/2022/3570667.pdf
- OA Status
- gold
- Cited By
- 4
- References
- 39
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4282005377
All OpenAlex metadata
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https://doi.org/10.1155/2022/3570667Digital Object Identifier
- Title
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The Analysis of Fractional‐Order System Delay Differential Equations Using a Numerical MethodWork title
- Type
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articleOpenAlex work type
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enPrimary language
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2022Year of publication
- Publication date
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2022-01-01Full publication date if available
- Authors
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Pongsakorn Sunthrayuth, Hina M. Dutt, Fazal Ghani, Mohammad Asif ArefinList of authors in order
- Landing page
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https://doi.org/10.1155/2022/3570667Publisher landing page
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https://downloads.hindawi.com/journals/complexity/2022/3570667.pdfDirect link to full text PDF
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://downloads.hindawi.com/journals/complexity/2022/3570667.pdfDirect OA link when available
- Concepts
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Fractional calculus, Nonlinear system, Laguerre polynomials, Applied mathematics, Computer science, Novelty, Differential equation, Wavelet, Order (exchange), Basis (linear algebra), Mathematics, Mathematical analysis, Quantum mechanics, Philosophy, Theology, Physics, Economics, Geometry, Finance, Artificial intelligenceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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4Total citation count in OpenAlex
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2024: 2, 2023: 2Per-year citation counts (last 5 years)
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39Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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