Application of fractional differential transform method and Bell polynomial for solving system of fractional delay differential equations Article Swipe
Sandeep Yadav
,
Giriraj Methi
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.padiff.2024.100971
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1016/j.padiff.2024.100971
In this article, a new numerical technique is presented to obtain numerical solution of a system of fractional delay differential equations (FDDE’s) involving proportional and time dependent delay terms. The fractional derivative is used in Caputo sense. The proposed technique is the combination of fractional differential transform and Bell polynomial. The existence and uniqueness results are discussed for FDDE’s. Three numerical problems are discussed to show reliability and efficiency of the method. Numerical results are compared with exact and Matlab DDENSD solution. The main advantage of the present method is handing effectively the nonlinear terms present in the FDDEs by using Bell polynomial. The present method can deal with both linear and nonlinear FDDEs. The convergence result is discussed, and error analysis is presented in detail.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1016/j.padiff.2024.100971
- OA Status
- gold
- Cited By
- 1
- References
- 76
- Related Works
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- OpenAlex ID
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https://openalex.org/W4403901644Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1016/j.padiff.2024.100971Digital Object Identifier
- Title
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Application of fractional differential transform method and Bell polynomial for solving system of fractional delay differential equationsWork title
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-10-30Full publication date if available
- Authors
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Sandeep Yadav, Giriraj MethiList of authors in order
- Landing page
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https://doi.org/10.1016/j.padiff.2024.100971Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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goldOpen access status per OpenAlex
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https://doi.org/10.1016/j.padiff.2024.100971Direct OA link when available
- Concepts
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Mathematics, Applied mathematics, Fractional calculus, Differential equation, Differential (mechanical device), Polynomial, Mathematical analysis, Physics, ThermodynamicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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1Total citation count in OpenAlex
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2025: 1Per-year citation counts (last 5 years)
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76Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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