Study and Analysis of Taylor’s Series using The Modified Conformable Operator Article Swipe
Ahmed Bouchenak
,
Fakhreddine Seddiki
,
Lahcene Rabhi
·
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.37394/23206.2025.24.31
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.37394/23206.2025.24.31
In this paper, we explore an essential concept in mathematics: Taylor’s series. To examine its behavior in fractional calculus, we utilize the modified conformable operator, which provides significant results by satisfying most properties of the classical derivative and establishing a strong connection between the usual and fractional derivatives. We then present theoretical results for the fractional Taylor series using the proposed operator. Finally, we demonstrate the effectiveness of this approach through numerical examples and simulations in Mathematica, which validate the obtained results.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.37394/23206.2025.24.31
- https://doi.org/10.37394/23206.2025.24.31
- OA Status
- diamond
- References
- 19
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4409773715
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https://openalex.org/W4409773715Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.37394/23206.2025.24.31Digital Object Identifier
- Title
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Study and Analysis of Taylor’s Series using The Modified Conformable OperatorWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2025Year of publication
- Publication date
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2025-04-24Full publication date if available
- Authors
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Ahmed Bouchenak, Fakhreddine Seddiki, Lahcene RabhiList of authors in order
- Landing page
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https://doi.org/10.37394/23206.2025.24.31Publisher landing page
- PDF URL
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https://doi.org/10.37394/23206.2025.24.31Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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diamondOpen access status per OpenAlex
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https://doi.org/10.37394/23206.2025.24.31Direct OA link when available
- Concepts
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Conformable matrix, Operator (biology), Series (stratigraphy), Taylor series, Mathematics, Computer science, Calculus (dental), Mathematical analysis, Geology, Physics, Medicine, Chemistry, Dentistry, Gene, Paleontology, Biochemistry, Quantum mechanics, Transcription factor, RepressorTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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19Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.numerical | 71 |
| abstract_inverted_index.operator, | 24 |
| abstract_inverted_index.operator. | 61 |
| abstract_inverted_index.Taylor’s | 10 |
| abstract_inverted_index.connection | 41 |
| abstract_inverted_index.derivative | 36 |
| abstract_inverted_index.fractional | 17, 46, 55 |
| abstract_inverted_index.properties | 32 |
| abstract_inverted_index.satisfying | 30 |
| abstract_inverted_index.conformable | 23 |
| abstract_inverted_index.demonstrate | 64 |
| abstract_inverted_index.significant | 27 |
| abstract_inverted_index.simulations | 74 |
| abstract_inverted_index.theoretical | 51 |
| abstract_inverted_index.Mathematica, | 76 |
| abstract_inverted_index.derivatives. | 47 |
| abstract_inverted_index.establishing | 38 |
| abstract_inverted_index.mathematics: | 9 |
| abstract_inverted_index.effectiveness | 66 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| citation_normalized_percentile.value | 0.16615138 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |