Decomposing Method for Space-Time Fractional Order PDEs Article Swipe
Ahmed Mohamed Shukur
,
Ahmed Jaber
,
Mohammed Rasheed
,
Tarek Saidani
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.55145/ajest.2024.03.02.01
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.55145/ajest.2024.03.02.01
Numerical solutions to integer-order differential equations frequently employ decomposition as one of many methods. This paper provides a generalization of integer-order differential equations into fractional order, which is more general, as well as generalizing the decomposing method into the fractional case and then applying it to solve differential equations of fractional order in both space and time. A fractional calculus's theorems and properties to generalize both differential equations and the decomposition method have been utilized. This method to solve different fractional time and space partial differential equations, demonstrating its ability and applicability to various problems have been applied. The method to various cases to highlight its strengths has been used. The graphs and tables of results obtained using Matlab programs have been presented and discussed.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.55145/ajest.2024.03.02.01
- https://journal.alsalam.edu.iq/index.php/ajest/article/download/249/129
- OA Status
- diamond
- References
- 27
- Related Works
- 10
- OpenAlex ID
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https://openalex.org/W4399012459Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.55145/ajest.2024.03.02.01Digital Object Identifier
- Title
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Decomposing Method for Space-Time Fractional Order PDEsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
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2024Year of publication
- Publication date
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2024-05-25Full publication date if available
- Authors
-
Ahmed Mohamed Shukur, Ahmed Jaber, Mohammed Rasheed, Tarek SaidaniList of authors in order
- Landing page
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https://doi.org/10.55145/ajest.2024.03.02.01Publisher landing page
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https://journal.alsalam.edu.iq/index.php/ajest/article/download/249/129Direct link to full text PDF
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YesWhether a free full text is available
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-
diamondOpen access status per OpenAlex
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https://journal.alsalam.edu.iq/index.php/ajest/article/download/249/129Direct OA link when available
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Order (exchange), Space (punctuation), Applied mathematics, Mathematics, Computer science, Mathematical analysis, Economics, Operating system, FinanceTop concepts (fields/topics) attached by OpenAlex
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0Total citation count in OpenAlex
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27Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.properties | 62 |
| abstract_inverted_index.decomposing | 35 |
| abstract_inverted_index.differential | 4, 21, 47, 66, 85 |
| abstract_inverted_index.generalizing | 33 |
| abstract_inverted_index.applicability | 91 |
| abstract_inverted_index.decomposition | 8, 70 |
| abstract_inverted_index.demonstrating | 87 |
| abstract_inverted_index.integer-order | 3, 20 |
| abstract_inverted_index.generalization | 18 |
| cited_by_percentile_year | |
| countries_distinct_count | 3 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile.value | 0.10506757 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |