Solving Pdes of Fractional Order Using the Unified Transform Method
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Fokas, Athanassios S. | |
| dc.contributor.author | Fernandez, Arran | |
| dc.date.accessioned | 2020-03-17T13:30:09Z | |
| dc.date.accessioned | 2025-09-18T14:10:52Z | |
| dc.date.available | 2020-03-17T13:30:09Z | |
| dc.date.available | 2025-09-18T14:10:52Z | |
| dc.date.issued | 2018 | |
| dc.description | Thanasis/0000-0002-1198-1081; Fokas, Athanassios/0000-0002-5881-802X; Fernandez, Arran/0000-0002-1491-1820 | en_US |
| dc.description.abstract | We consider the unified transform method, also known as the Fokas method, for solving partial differential equations. We adapt and modify the methodology, incorporating new ideas where necessary, in order to apply it to solve a large class of partial differential equations of fractional order. We demonstrate the applicability of the method by implementing it to solve a model fractional problem. (C) 2018 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | Engineering and Physical Sciences Research Council, UK; [RG81609]; EPSRC [EP/N006593/1] Funding Source: UKRI | en_US |
| dc.description.sponsorship | The first and third authors acknowledge the support of the Engineering and Physical Sciences Research Council, UK: the first author via a research studentship (no grant number) and the third author via a senior fellowship (grant number RG81609). | en_US |
| dc.identifier.citation | Fernandez, Arran; Baleanu, Dumitru; Fokas, Athanassios S., "Solving PDEs of fractional order using the unified transform method", Applied Mathematics and Computation, Vol. 339, pp. 738-749, (2018). | en_US |
| dc.identifier.doi | 10.1016/j.amc.2018.07.061 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.issn | 1873-5649 | |
| dc.identifier.scopus | 2-s2.0-85051761784 | |
| dc.identifier.uri | https://doi.org/10.1016/j.amc.2018.07.061 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13838 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.relation.ispartof | Applied Mathematics and Computation | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Calculus | en_US |
| dc.subject | Partial Differential Equations | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Fokas Method | en_US |
| dc.title | Solving Pdes of Fractional Order Using the Unified Transform Method | en_US |
| dc.title | Solving PDEs of fractional order using the unified transform method | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Fernandez, Arran/0000-0002-1491-1820 | |
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| gdc.author.wosid | Fernandez, Arran/E-7134-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Fernandez, Arran; Fokas, Athanassios S.] Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Fokas, Athanassios S.] Univ Southern Calif, Viterbi Sch Engn, Los Angeles, CA 90089 USA | en_US |
| gdc.description.endpage | 749 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 738 | en_US |
| gdc.description.volume | 339 | en_US |
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| gdc.oaire.keywords | Mathematics - Analysis of PDEs | |
| gdc.oaire.keywords | Mathematics - Complex Variables | |
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| gdc.oaire.keywords | 35R11, 35A22 | |
| gdc.oaire.keywords | Complex Variables (math.CV) | |
| gdc.oaire.keywords | Analysis of PDEs (math.AP) | |
| gdc.oaire.keywords | Fokas method | |
| gdc.oaire.keywords | partial differential equations | |
| gdc.oaire.keywords | fractional differential equations | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Fractional partial differential equations | |
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