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.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.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/20.500.12416/12175 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| 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.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.author.yokid | 56389 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| 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.startpage | 426 | |
| 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.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 22.0 | |
| gdc.oaire.influence | 4.492911E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Decomposition method (queueing theory) | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Caputo operator | |
| gdc.oaire.keywords | Telegrapher's equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Orthogonal Polynomials | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Laplace's equation | |
| gdc.oaire.keywords | Transmission line | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Series (stratigraphy) | |
| gdc.oaire.keywords | Biology | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Economic growth | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Mittag-Leffler function | |
| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Paleontology | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Derivative-Free Methods | |
| gdc.oaire.keywords | Discrete mathematics | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Computer science | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Quadrature Methods | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Convergence (economics) | |
| gdc.oaire.keywords | Telecommunications | |
| gdc.oaire.keywords | fractional-order of telegraph equations | |
| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | Adomian decomposition method | |
| gdc.oaire.keywords | Laplace-adomian decomposition method | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.popularity | 2.7390316E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| 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 | 47 | |
| gdc.publishedmonth | 5 | |
| gdc.scopus.citedcount | 47 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 36 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |