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Numerical Solution of Time-Fractional Nonlinear Pdes With Proportional Delays by Homotopy Perturbation Method

dc.authorid Sakar, Mehmet Giyas/0000-0002-1911-2622
dc.authorscopusid 54945074000
dc.authorscopusid 57189690134
dc.authorscopusid 16309407500
dc.authorwosid Uludağ, Fatih/Hjo-8450-2023
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.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [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
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.description.woscitationindex Science Citation Index Expanded
dc.identifier.doi 10.1016/j.apm.2016.02.005
dc.identifier.endpage 6649 en_US
dc.identifier.issn 0307-904X
dc.identifier.issn 1872-8480
dc.identifier.issue 13-14 en_US
dc.identifier.scopus 2-s2.0-84975735379
dc.identifier.scopusquality Q1
dc.identifier.startpage 6639 en_US
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.identifier.volume 40 en_US
dc.identifier.wos WOS:000377921900031
dc.identifier.wosquality Q1
dc.language.iso en en_US
dc.publisher Elsevier Science inc en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı 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

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