An Approximate-Analytical Solution To Analyze Fractional View of Telegraph Equations
| dc.contributor.author | Khan, Hassan | |
| dc.contributor.author | Farooq, Umar | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kumam, Poom | |
| dc.contributor.author | Arif, Muhammad | |
| dc.contributor.author | Ali, Izaz | |
| dc.date.accessioned | 2020-05-10T05:23:10Z | |
| dc.date.accessioned | 2025-09-18T12:47:27Z | |
| dc.date.available | 2020-05-10T05:23:10Z | |
| dc.date.available | 2025-09-18T12:47:27Z | |
| dc.date.issued | 2020 | |
| dc.description | Kumam, Poom/0000-0002-5463-4581; Arif, Muhammad/0000-0003-1484-7643; Farooq, Umar/0000-0002-2768-0240; Khan, Hassan/0000-0001-6417-1181 | en_US |
| dc.description.abstract | In the present research article, a modified analytical method is applied to solve time-fractional telegraph equations. The Caputo-operator is used to express the derivative of fractional-order. The present method is the combination of two well-known methods namely Mohan transformation method and Adomian decomposition method. The validity of the proposed technique is confirmed through illustrative examples. It is observed that the obtained solutions have strong contact with the exact solution of the examples. Moreover, it is investigated that the present method has the desired degree of accuracy and provided the graphs closed form solutions of all targeted examples. The graphs have verified the convergence analysis of fractional-order solutions to integer-order solution. In conclusion, the suggested method is simple, straightforward and an effective technique to solve fractional-order partial differential equations. | en_US |
| dc.description.sponsorship | Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut's University of Technology Thonburi (KMUTT) | en_US |
| dc.description.sponsorship | This work was supported by the Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut's University of Technology Thonburi (KMUTT). | en_US |
| dc.identifier.citation | Ali, I...et al. (2012). "An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations", IEEE Access, Vol. 8, pp. 25638-25649. | en_US |
| dc.identifier.doi | 10.1109/ACCESS.2020.2970242 | |
| dc.identifier.issn | 2169-3536 | |
| dc.identifier.scopus | 2-s2.0-85079642388 | |
| dc.identifier.uri | https://doi.org/10.1109/ACCESS.2020.2970242 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11812 | |
| dc.language.iso | en | en_US |
| dc.publisher | Ieee-inst Electrical Electronics Engineers inc | en_US |
| dc.relation.ispartof | IEEE Access | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Mohand Transformation | en_US |
| dc.subject | Telegraph Equations | en_US |
| dc.subject | Adomian Decomposition Method | en_US |
| dc.subject | Caputo Operator | en_US |
| dc.title | An Approximate-Analytical Solution To Analyze Fractional View of Telegraph Equations | en_US |
| dc.title | An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Kumam, Poom/0000-0002-5463-4581 | |
| gdc.author.id | Arif, Muhammad/0000-0003-1484-7643 | |
| gdc.author.id | Farooq, Umar/0000-0002-2768-0240 | |
| gdc.author.id | Khan, Hassan/0000-0001-6417-1181 | |
| gdc.author.scopusid | 57215009826 | |
| gdc.author.scopusid | 57207242937 | |
| gdc.author.scopusid | 58711700300 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 15056385100 | |
| gdc.author.scopusid | 57619099500 | |
| gdc.author.wosid | Khan, Hassan/Jxx-2410-2024 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Arif, Muhammad/Itt-3029-2023 | |
| gdc.author.wosid | Kumam, Poom/E-7122-2011 | |
| gdc.author.wosid | Arif, Muhammad/E-3238-2016 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| 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 | [Ali, Izaz; Khan, Hassan; Farooq, Umar; Arif, Muhammad] AWKUM, Dept Math, Mardan 23200, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania; [Kumam, Poom] KMUTT, Ctr Excellence Theoret & Computat Sci TaCS CoE, Bangkok 10140, Thailand; [Kumam, Poom] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.endpage | 25649 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 25638 | en_US |
| gdc.description.volume | 8 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W3005521951 | |
| gdc.identifier.wos | WOS:000524659000005 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 4.0 | |
| gdc.oaire.influence | 2.7862552E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Decomposition method (queueing theory) | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Gene | |
| gdc.oaire.keywords | Biochemistry | |
| gdc.oaire.keywords | Convergence Analysis of Iterative Methods for Nonlinear Equations | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Numerical Methods for Singularly Perturbed Problems | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Mittag-Leffler function | |
| gdc.oaire.keywords | Physics | |
| gdc.oaire.keywords | Discrete mathematics | |
| gdc.oaire.keywords | FOS: Philosophy, ethics and religion | |
| gdc.oaire.keywords | Programming language | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Chemistry | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Convergence (economics) | |
| gdc.oaire.keywords | Transformation (genetics) | |
| gdc.oaire.keywords | Telecommunications | |
| gdc.oaire.keywords | Electrical engineering. Electronics. Nuclear engineering | |
| gdc.oaire.keywords | Caputo operator | |
| gdc.oaire.keywords | Epistemology | |
| gdc.oaire.keywords | Operator (biology) | |
| gdc.oaire.keywords | Telegrapher's equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | telegraph equations | |
| gdc.oaire.keywords | Transmission line | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Degree (music) | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Order (exchange) | |
| gdc.oaire.keywords | Economic growth | |
| gdc.oaire.keywords | Time-Fractional Diffusion Equation | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Acoustics | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Computer science | |
| gdc.oaire.keywords | TK1-9971 | |
| gdc.oaire.keywords | Philosophy | |
| gdc.oaire.keywords | Mohand transformation | |
| gdc.oaire.keywords | Exact solutions in general relativity | |
| gdc.oaire.keywords | Simple (philosophy) | |
| gdc.oaire.keywords | Repressor | |
| gdc.oaire.keywords | Fractional Calculus | |
| gdc.oaire.keywords | Adomian decomposition method | |
| gdc.oaire.keywords | Integer (computer science) | |
| gdc.oaire.keywords | Transcription factor | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Finance | |
| gdc.oaire.popularity | 4.684977E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 0.21358577 | |
| gdc.openalex.normalizedpercentile | 0.58 | |
| gdc.opencitations.count | 4 | |
| gdc.plumx.crossrefcites | 4 | |
| gdc.plumx.mendeley | 4 | |
| gdc.plumx.scopuscites | 7 | |
| gdc.scopus.citedcount | 7 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 3 | |
| 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 |
