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An Efficient Analytical Technique, for the Solution of Fractional-Order Telegraph Equations

dc.contributor.author Shah, Rasool
dc.contributor.author Kumam, Poom
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Arif, Muhammad
dc.contributor.author Khan, Hassan
dc.contributor.authorID 56389 tr_TR
dc.contributor.other 02.02. Matematik
dc.contributor.other 02. Fen-Edebiyat Fakültesi
dc.contributor.other 01. Çankaya Üniversitesi
dc.date.accessioned 2020-01-03T12:09:41Z
dc.date.accessioned 2025-09-18T12:48:53Z
dc.date.available 2020-01-03T12:09:41Z
dc.date.available 2025-09-18T12:48:53Z
dc.date.issued 2019
dc.description Khan, Hassan/0000-0001-6417-1181; Kumam, Poom/0000-0002-5463-4581; Arif, Muhammad/0000-0003-1484-7643 en_US
dc.description.abstract In the present article, fractional-order telegraph equations are solved by using the Laplace-Adomian decomposition method. The Caputo operator is used to define the fractional derivative. Series form solutions are obtained for fractional-order telegraph equations by using the proposed method. Some numerical examples are presented to understand the procedure of the Laplace-Adomian decomposition method. As the Laplace-Adomian decomposition procedure has shown the least volume of calculations and high rate of convergence compared to other analytical techniques, the Laplace-Adomian decomposition method is considered to be one of the best analytical techniques for solving fractional-order, non-linear partial differential equationsparticularly the fractional-order telegraph equation. en_US
dc.description.publishedMonth 5
dc.description.sponsorship Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT) en_US
dc.description.sponsorship The project was supported by the Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT). en_US
dc.identifier.citation Khan, Hassan...et al. (2019). "An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations", Mathematics, Vol. 7, No. 5. en_US
dc.identifier.doi 10.3390/math7050426
dc.identifier.issn 2227-7390
dc.identifier.scopus 2-s2.0-85073357462
dc.identifier.uri https://doi.org/10.3390/math7050426
dc.identifier.uri https://hdl.handle.net/123456789/12175
dc.language.iso en en_US
dc.publisher Mdpi en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Laplace-Adomian Decomposition Method en_US
dc.subject Fractional-Order Of Telegraph Equations en_US
dc.subject Caputo Operator en_US
dc.title An Efficient Analytical Technique, for the Solution of Fractional-Order Telegraph Equations en_US
dc.title An Efficient Analytical Technique, for The Solution of Fractional-Order Telegraph Equations tr_TR
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id Khan, Hassan/0000-0001-6417-1181
gdc.author.id Kumam, Poom/0000-0002-5463-4581
gdc.author.id Arif, Muhammad/0000-0003-1484-7643
gdc.author.institutional Baleanu, Dumitru
gdc.author.scopusid 57207242937
gdc.author.scopusid 57206692659
gdc.author.scopusid 15056385100
gdc.author.scopusid 7005872966
gdc.author.scopusid 57619099500
gdc.author.wosid Khan, Hassan/Jxx-2410-2024
gdc.author.wosid Arif, Muhammad/Itt-3029-2023
gdc.author.wosid Shah, Rasool/Aaf-6062-2021
gdc.author.wosid Baleanu, Dumitru/B-9936-2012
gdc.author.wosid Kumam, Poom/E-7122-2011
gdc.author.wosid Arif, Muhammad/E-3238-2016
gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Khan, Hassan; Shah, Rasool; Arif, Muhammad] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan; [Kumam, Poom] KMUTT, Ctr Excellence Theoret & Computat Sci TaCS CoE, Fac Sci, 126 Pracha Uthit Rd, Bangkok 10140, Thailand; [Kumam, Poom] KMUTT, Dept Math, Fac Sci, 126 Pracha Uthit Rd, Bangkok 10140, Thailand; [Kumam, Poom] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey en_US
gdc.description.issue 5 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q2
gdc.description.volume 7 en_US
gdc.description.woscitationindex Science Citation Index Expanded
gdc.description.wosquality Q1
gdc.identifier.openalex W2945376941
gdc.identifier.wos WOS:000472664400048
gdc.openalex.fwci 3.44418449
gdc.openalex.normalizedpercentile 0.93
gdc.openalex.toppercent TOP 10%
gdc.opencitations.count 30
gdc.plumx.crossrefcites 41
gdc.plumx.mendeley 15
gdc.plumx.scopuscites 46
gdc.scopus.citedcount 46
gdc.wos.citedcount 34
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