Modified Modelling for Heat Like Equations Within Caputo Operator
| dc.contributor.author | Khan, Adnan | |
| dc.contributor.author | Al-Qurashi, Maysaa | |
| dc.contributor.author | Shah, Rasool | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Khan, Hassan | |
| 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 | 2021-01-28T12:21:38Z | |
| dc.date.accessioned | 2025-09-18T12:08:47Z | |
| dc.date.available | 2021-01-28T12:21:38Z | |
| dc.date.available | 2025-09-18T12:08:47Z | |
| dc.date.issued | 2020 | |
| dc.description | Khan, Hassan/0000-0001-6417-1181; Khan, Adnan/0000-0001-7845-609X | en_US |
| dc.description.abstract | The present paper is related to the analytical solutions of some heat like equations, using a novel approach with Caputo operator. The work is carried out mainly with the use of an effective and straight procedure of the Iterative Laplace transform method. The proposed method provides the series form solution that has the desired rate of convergence towards the exact solution of the problems. It is observed that the suggested method provides closed-form solutions. The reliability of the method is confirmed with the help of some illustrative examples. The graphical representation has been made for both fractional and integer-order solutions. Numerical solutions that are in close contact with the exact solutions to the problems are investigated. Moreover, the sample implementation of the present method supports the importance of the method to solve other fractional-order problems in sciences and engineering. | en_US |
| dc.description.publishedMonth | 4 | |
| dc.description.sponsorship | Department of Mathematics, King Saud University, Riyadh, Saudi Arabia | en_US |
| dc.description.sponsorship | Department of Mathematics, King Saud University, Riyadh 11495, Saudi Arabia. | en_US |
| dc.identifier.citation | Khan, Hassan...et al. (2020). "Modified Modelling for Heat Like Equations within Caputo Operator", Energies, Vol. 13, No. 8. | en_US |
| dc.identifier.doi | 10.3390/en13082002 | |
| dc.identifier.issn | 1996-1073 | |
| dc.identifier.scopus | 2-s2.0-85084057870 | |
| dc.identifier.uri | https://doi.org/10.3390/en13082002 | |
| dc.identifier.uri | https://hdl.handle.net/123456789/11226 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Iterative Laplace Transform Method | en_US |
| dc.subject | Fractional-Order Heat Equations | en_US |
| dc.subject | Caputo Operator | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.title | Modified Modelling for Heat Like Equations Within Caputo Operator | en_US |
| dc.title | Modified Modelling for Heat Like Equations within Caputo Operator | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Khan, Hassan/0000-0001-6417-1181 | |
| gdc.author.id | Khan, Adnan/0000-0001-7845-609X | |
| gdc.author.institutional | Baleanu, Dumitru | |
| gdc.author.scopusid | 57207242937 | |
| gdc.author.scopusid | 57216614285 | |
| gdc.author.scopusid | 57045880100 | |
| gdc.author.scopusid | 57206692659 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Shah, Rasool/Aaf-6062-2021 | |
| gdc.author.wosid | Khan, Adnan/Jpw-8672-2023 | |
| gdc.author.wosid | Khan, Hassan/Jxx-2410-2024 | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khan, Hassan; Khan, Adnan; Shah, Rasool] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan; [Al-Qurashi, Maysaa] King Saud Univ, Dept Math, Riyadh 11495, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 13 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q3 | |
| gdc.identifier.openalex | W3016673401 | |
| gdc.identifier.wos | WOS:000538041800145 | |
| gdc.openalex.fwci | 0.92553834 | |
| gdc.openalex.normalizedpercentile | 0.83 | |
| gdc.opencitations.count | 23 | |
| gdc.plumx.crossrefcites | 25 | |
| gdc.plumx.mendeley | 6 | |
| gdc.plumx.scopuscites | 25 | |
| gdc.scopus.citedcount | 25 | |
| gdc.wos.citedcount | 24 | |
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