A New Transform Method in Nabla Discrete Fractional Calculus
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Kaymakcalan, Billur | |
| dc.contributor.author | Tas, Kenan | |
| dc.date.accessioned | 2017-03-16T12:42:48Z | |
| dc.date.accessioned | 2025-09-18T12:10:19Z | |
| dc.date.available | 2017-03-16T12:42:48Z | |
| dc.date.available | 2025-09-18T12:10:19Z | |
| dc.date.issued | 2012 | |
| dc.description.abstract | Starting from the definition of the Sumudu transform on a general nabla time scale, we define the generalized nabla discrete Sumudu transform. We obtain the nabla discrete Sumudu transform of Taylor monomials, fractional sums, and differences. We apply this transform to solve some fractional difference equations with initial value problems. MSC: 44A15, 44A55. | en_US |
| dc.identifier.citation | Jarad, F., Kaymakçalan, B., Taş, K. (2012). A new transform method in nabla discrete fractional calculus. Advance in Difference Equations. http://dx.doi.org/10.1186/1687-1847-2012-190 | en_US |
| dc.identifier.doi | 10.1186/1687-1847-2012-190 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1847-2012-190 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11678 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Discrete Sumudu Transform | en_US |
| dc.subject | Fractional Sums | en_US |
| dc.subject | Fractional Differences | en_US |
| dc.subject | Convolution | en_US |
| dc.subject | Time Scale | en_US |
| dc.title | A New Transform Method in Nabla Discrete Fractional Calculus | en_US |
| dc.title | A new transform method in nabla discrete fractional calculus | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.wosid | Tas, Kenan/D-8441-2011 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kaymakcalan, Billur] Cankaya Univ, Dept Math & Comp Sci, TR-06810 Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2012 | |
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| gdc.oaire.keywords | Bifurcations in Planar Polynomial Systems | |
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| gdc.oaire.keywords | Rogue Waves in Nonlinear Systems | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
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| gdc.oaire.keywords | discrete Sumudu transform | |
| gdc.oaire.keywords | convolution | |
| gdc.oaire.keywords | time scale | |
| gdc.oaire.keywords | Discrete operational calculus | |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Kaymakçalan, Billur | |
| gdc.virtual.author | Taş, Kenan | |
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