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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
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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
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
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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
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gdc.description.startpage 25638 en_US
gdc.description.volume 8 en_US
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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
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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
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gdc.oaire.keywords telegraph equations
gdc.oaire.keywords Transmission line
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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
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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
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gdc.virtual.author Baleanu, Dumitru
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