An Analytic Approach To a Class of Fractional Differential-Difference Equations of Rational Type Via Symbolic Computation
| dc.contributor.author | Aslan, İsmail | |
| dc.coverage.doi | 10.1002/mma.3047 | |
| dc.date.accessioned | 2017-05-22T07:53:11Z | |
| dc.date.available | 2017-05-22T07:53:11Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | Fractional derivatives are powerful tools in solving the problems of science and engineering. In this paper, an analytical algorithm for solving fractional differential-difference equations in the sense of Jumarie's modified Riemann-Liouville derivative has been described and demonstrated. The algorithm has been tested against time-fractional differentialdifference equations of rational type via symbolic computation. Three examples are given to elucidate the solution procedure. Our analyses lead to closed form exact solutions in terms of hyperbolic, trigonometric, and rational functions, which might be subject to some adequate physical interpretations in the future. Copyright © 2013 JohnWiley & Sons, Ltd. | en_US |
| dc.identifier.citation | Aslan, İ., (2015). An analytic approach to a class of fractional differential-difference equations of rational type via symbolic computation. Mathematical Methods in the Applied Sciences, 38(1), 27-36. doi:10.1002/mma.3047 | en_US |
| dc.identifier.doi | 10.1002/mma.3047 | en_US |
| dc.identifier.doi | 10.1002/mma.3047 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-84919399370 | |
| dc.identifier.uri | http://doi.org/10.1002/mma.3047 | |
| dc.identifier.uri | https://hdl.handle.net/11147/5562 | |
| dc.language.iso | en | en_US |
| dc.publisher | John Wiley and Sons Inc. | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | (G′/G)-expansion method | en_US |
| dc.subject | Fractional derivative | en_US |
| dc.subject | Differential equations | en_US |
| dc.subject | Difference equations | en_US |
| dc.subject | Rational functions | en_US |
| dc.title | An Analytic Approach To a Class of Fractional Differential-Difference Equations of Rational Type Via Symbolic Computation | en_US |
| dc.type | Article | en_US |
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| gdc.author.institutional | Aslan, İsmail | |
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| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.endpage | 36 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 27 | en_US |
| gdc.description.volume | 38 | en_US |
| gdc.description.wosquality | Q1 | |
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| gdc.oaire.keywords | Differential equations | |
| gdc.oaire.keywords | Difference equations | |
| gdc.oaire.keywords | (G′/G)-expansion method | |
| gdc.oaire.keywords | Fractional derivative | |
| gdc.oaire.keywords | Rational functions | |
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