Time-Fractional Cahn-Allen and Time-Fractional Klein-Gordon Equations: Lie Symmetry Analysis, Explicit Solutions and Convergence Analysis
| dc.contributor.author | Yusuf, Abdullahi | |
| dc.contributor.author | Aliyu, Aliyu Isa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Inc, Mustafa | |
| dc.date.accessioned | 2020-03-31T08:39:08Z | |
| dc.date.accessioned | 2025-09-18T15:45:07Z | |
| dc.date.available | 2020-03-31T08:39:08Z | |
| dc.date.available | 2025-09-18T15:45:07Z | |
| dc.date.issued | 2018 | |
| dc.description | Isa Aliyu, Aliyu/0000-0002-9756-7374; Yusuf, Abdullahi/0000-0002-8308-7943 | en_US |
| dc.description.abstract | This research analyzes the symmetry analysis, explicit solutions and convergence analysis to the time fractional Cahn-Allen (CA) and time-fractional Klein-Gordon (KG) equations with Riemann-Liouville (RL) derivative. The time fractional CA and time fractional KG are reduced to respective nonlinear ordinary differential equation of fractional order. We solve the reduced fractional ODEs using an explicit power series method. The convergence analysis for the obtained explicit solutions are investigated. Some figures for the obtained explicit solutions are also presented. (C) 2017 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.citation | Inc, Mustafa...et al. (2018). "Time-fractional Cahn-Allen and time-fractional Klein-Gordon equations: Lie symmetry analysis, explicit solutions and convergence analysis ", Physica A-Statistical Mechanics and Its Applications, Vol. 493, pp. 94-106. | en_US |
| dc.identifier.doi | 10.1016/j.physa.2017.10.010 | |
| dc.identifier.issn | 0378-4371 | |
| dc.identifier.issn | 1873-2119 | |
| dc.identifier.scopus | 2-s2.0-85033395505 | |
| dc.identifier.uri | https://doi.org/10.1016/j.physa.2017.10.010 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14492 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science Bv | en_US |
| dc.relation.ispartof | Physica A: Statistical Mechanics and its Applications | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Time Fractional Ca | en_US |
| dc.subject | Time Fractional Kg | en_US |
| dc.subject | Lie Symmetry | en_US |
| dc.subject | Rl Fractional Derivative | en_US |
| dc.subject | Explicit Solutions | en_US |
| dc.subject | Convergence Analysis | en_US |
| dc.title | Time-Fractional Cahn-Allen and Time-Fractional Klein-Gordon Equations: Lie Symmetry Analysis, Explicit Solutions and Convergence Analysis | en_US |
| dc.title | Time-Fractional Cahn-Allen and Time-Fractional Klein-Gordon Equations: Lie Symmetry Analysis, Explicit Solutions and Convergence Analysis | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Isa Aliyu, Aliyu/0000-0002-9756-7374 | |
| gdc.author.id | Yusuf, Abdullahi/0000-0002-8308-7943 | |
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| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Isa Aliyu, Aliyu/L-3765-2017 | |
| gdc.author.wosid | Yusuf, Abdullahi/L-9956-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ogretmenler Cad, TR-1406530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.endpage | 106 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 94 | en_US |
| gdc.description.volume | 493 | en_US |
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| gdc.oaire.keywords | Lie symmetry | |
| gdc.oaire.keywords | explicit solutions | |
| gdc.oaire.keywords | Second-order semilinear hyperbolic equations | |
| gdc.oaire.keywords | time fractional Klein-Gordon | |
| gdc.oaire.keywords | Riemann-Liouville fractional derivative | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Symmetries, invariants, etc. in context of PDEs | |
| gdc.oaire.keywords | time fractional Cahn-Allen | |
| gdc.oaire.keywords | Geometric theory, characteristics, transformations in context of PDEs | |
| gdc.oaire.keywords | convergence analysis | |
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