Numerical Solution of Time-Fractional Nonlinear Pdes With Proportional Delays by Homotopy Perturbation Method
| dc.contributor.author | Sakar, Mehmet Giyas | |
| dc.contributor.author | Uludag, Fatih | |
| dc.contributor.author | Erdogan, Fevzi | |
| dc.date.accessioned | 2025-05-10T17:41:01Z | |
| dc.date.available | 2025-05-10T17:41:01Z | |
| dc.date.issued | 2016 | |
| dc.description | Sakar, Mehmet Giyas/0000-0002-1911-2622 | en_US |
| dc.description.abstract | In this paper, homotopy perturbation method (HPM) is applied to solve fractional partial differential equations (PDEs) with proportional delay in t and shrinking in x. The method do not require linearization or small perturbation. The fractional derivatives are taken in the Caputo sense. The present method performs extremely well in terms of efficiency and simplicity. Numerical results for different particular cases of alpha are presented graphically. (C) 2016 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.apm.2016.02.005 | |
| dc.identifier.issn | 0307-904X | |
| dc.identifier.issn | 1872-8480 | |
| dc.identifier.scopus | 2-s2.0-84975735379 | |
| dc.identifier.uri | https://doi.org/10.1016/j.apm.2016.02.005 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/15388 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Homotopy Perturbation Method | en_US |
| dc.subject | Fractional Partial Differential Equation | en_US |
| dc.subject | Proportional Delay | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.title | Numerical Solution of Time-Fractional Nonlinear Pdes With Proportional Delays by Homotopy Perturbation Method | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Sakar, Mehmet Giyas/0000-0002-1911-2622 | |
| gdc.author.scopusid | 54945074000 | |
| gdc.author.scopusid | 57189690134 | |
| gdc.author.scopusid | 16309407500 | |
| gdc.author.wosid | Uludağ, Fatih/Hjo-8450-2023 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | [Sakar, Mehmet Giyas] Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Van, Turkey; [Uludag, Fatih; Erdogan, Fevzi] Yuzuncu Yil Univ, Fac Sci, Dept Stat, TR-65080 Van, Turkey | en_US |
| gdc.description.endpage | 6649 | en_US |
| gdc.description.issue | 13-14 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 6639 | en_US |
| gdc.description.volume | 40 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:000377921900031 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |