On convergence analysis and numerical solutions of local fractional Helmholtz equation

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dc.contributor.authorLuu Vu Cam Hoan
dc.contributor.authorKörpınar, Zeliha
dc.contributor.authorİnç, Mustafa
dc.contributor.authorChu, Yu-Ming
dc.contributor.authorAlmohsen, Bandar
dc.date.accessioned2021-04-10T16:37:09Z
dc.date.available2021-04-10T16:37:09Z
dc.date.issued2020
dc.departmentMAUNen_US
dc.description.abstractLocal fractional q-homotopy analysis transform method (q-HATM) is employed to solve the local fractional Helmholtz equation. Uniqueness and convergence analysis of the method is investigated by Banach's fixed point theory. Solutions are expressed in the form of rapidly series with fast computable basics by Mathematica software. Reliability analysis is provided. Computational results display that LFq-HATM is an efficient and powerful method to obtain solutions to the present equation and has the potential to be applicable to other related fractional-order systems. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.en_US
dc.description.sponsorshipNatural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61673169, 11301127, 11701176, 11626101, 11601485, RSP-2020/158]; King Saud University, Riyadh, Saudi ArabiaKing Saud Universityen_US
dc.description.sponsorshipThe work was supported by the Natural Science Foundation of China (Grant Nos. 61673169, 11301127, 11701176, 11626101, 11601485).; B. Almohsen is Supported by Researchers Supporting Project number (RSP-2020/158), King Saud University, Riyadh, Saudi Arabia.en_US
dc.identifier.doi10.1016/j.aej.2020.07.038
dc.identifier.endpage4341en_US
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85089180951
dc.identifier.scopusqualityQ1
dc.identifier.startpage4335en_US
dc.identifier.urihttps://doi.org/10.1016/j.aej.2020.07.038
dc.identifier.urihttps://hdl.handle.net/20.500.12639/2154
dc.identifier.volume59en_US
dc.identifier.wosWOS:000605022100007
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevieren_US
dc.relation.ispartofAlexandria Engineering Journalen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectq-HATMen_US
dc.subjectLocal fractional Helmholtz equationen_US
dc.subjectBanach's fixed point theoryen_US
dc.subjectLaplace transformen_US
dc.titleOn convergence analysis and numerical solutions of local fractional Helmholtz equationen_US
dc.typeArticle

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