On convergence analysis and numerical solutions of local fractional Helmholtz equation

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dc.contributor.authorLuu Vu Cam Hoan
dc.contributor.authorKorpinar, Zeliha
dc.contributor.authorİnç, Mustafa
dc.contributor.authorChu, Yu-Ming
dc.contributor.authorAlmohsen, Bandar
dc.date.accessioned2026-08-12T17:50:31Z
dc.date.issued2020
dc.departmentFırat Üniversitesi
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.
dc.description.sponsorshipNatural Science Foundation of China [61673169, 11301127, 11701176, 11626101, 11601485, RSP-2020/158]; King Saud University, Riyadh, Saudi Arabia
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.
dc.identifier.doi10.1016/j.aej.2020.07.038
dc.identifier.endpage4341
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue6
dc.identifier.scopus2-s2.0-85089180951
dc.identifier.scopusqualityQ1
dc.identifier.startpage4335
dc.identifier.urihttps://doi.org/10.1016/j.aej.2020.07.038
dc.identifier.urihttps://hdl.handle.net/11508/62249
dc.identifier.volume59
dc.identifier.wosWOS:000605022100007
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectq-HATM
dc.subjectLocal fractional Helmholtz equation
dc.subjectBanach's fixed point theory
dc.subjectLaplace transform
dc.titleOn convergence analysis and numerical solutions of local fractional Helmholtz equation
dc.typeArticle

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