The Analytical Investigation of Time-Fractional Multi-Dimensional Navier-Stokes Equation
| dc.contributor.author | Khan, Hassan | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kumam, Poom | |
| dc.contributor.author | Arif, Muhammad | |
| dc.contributor.author | Shah, Rasool | |
| dc.contributor.authorID | 56389 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| dc.date.accessioned | 2023-01-27T10:46:19Z | |
| dc.date.accessioned | 2025-09-18T14:10:24Z | |
| dc.date.available | 2023-01-27T10:46:19Z | |
| dc.date.available | 2025-09-18T14:10:24Z | |
| dc.date.issued | 2020 | |
| dc.description | Arif, Muhammad/0000-0003-1484-7643; Kumam, Poom/0000-0002-5463-4581 | en_US |
| dc.description.abstract | In the present research article, we implemented two well-known analytical techniques to solve fractional-order multi-dimensional Navier-Stokes equation. The proposed methods are the modification of Adomian decomposition method and variational iteration method by using natural transformation. Furthermore, some illustrative examples are presented to confirm the validity of the suggested methods. The solutions graphs and tables are constructed for both fractional and integer-order problems. It is investigated that the suggested techniques have the identical solutions of the problems. The solution comparison via graphs and tables have also supported the greater accuracy and higher rate of convergence of the present methods. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. | en_US |
| dc.description.publishedMonth | 10 | |
| dc.identifier.citation | Shah, Rasool...et al. (2020). "The analytical investigation of time-fractional multi-dimensional Navier–Stokes equation", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 2941-2956. | en_US |
| dc.identifier.doi | 10.1016/j.aej.2020.03.029 | |
| dc.identifier.issn | 1110-0168 | |
| dc.identifier.issn | 2090-2670 | |
| dc.identifier.scopus | 2-s2.0-85084683955 | |
| dc.identifier.uri | https://doi.org/10.1016/j.aej.2020.03.029 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13662 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Variational Iteration Method | en_US |
| dc.subject | Natural Transformation | en_US |
| dc.subject | Adomian Decomposition Method | en_US |
| dc.subject | Caputo Derivatives | en_US |
| dc.subject | Navier-Stokes Equations | en_US |
| dc.title | The Analytical Investigation of Time-Fractional Multi-Dimensional Navier-Stokes Equation | en_US |
| dc.title | The analytical investigation of time-fractional multi-dimensional Navier–Stokes equation | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Arif, Muhammad/0000-0003-1484-7643 | |
| gdc.author.id | Kumam, Poom/0000-0002-5463-4581 | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 57206692659 | |
| gdc.author.scopusid | 57207242937 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 15056385100 | |
| gdc.author.scopusid | 57619099500 | |
| gdc.author.wosid | Arif, Muhammad/Itt-3029-2023 | |
| gdc.author.wosid | Khan, Hassan/Jxx-2410-2024 | |
| gdc.author.wosid | Shah, Rasool/Aaf-6062-2021 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Arif, Muhammad/E-3238-2016 | |
| gdc.author.wosid | Kumam, Poom/E-7122-2011 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Shah, Rasool; Khan, Hassan; Arif, Muhammad] Abdul Wali Khan Univ Mardan AWKUM, Dept Math, Mardan, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Kumam, Poom] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, 126 Pracha Uthit Rd, Bangkok 10140, Thailand; [Kumam, Poom] King Mongkuts Univ Technol Thonburi KMUTT, Fac Sci, Dept Math, 126 Pracha Uthit Rd, Bangkok 10140, Thailand; [Kumam, Poom] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.endpage | 2956 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 2941 | en_US |
| gdc.description.volume | 59 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3024042440 | |
| gdc.identifier.wos | WOS:000576858300009 | |
| gdc.openalex.fwci | 1.24591699 | |
| gdc.openalex.normalizedpercentile | 0.87 | |
| gdc.opencitations.count | 33 | |
| gdc.plumx.crossrefcites | 36 | |
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| gdc.scopus.citedcount | 39 | |
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