Some Further Results of the Laplace Transform for Variable-Order Fractional Difference Equations
| dc.contributor.author | Wu, Guo-Cheng | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2021-02-10T11:58:08Z | |
| dc.date.accessioned | 2025-09-18T13:27:18Z | |
| dc.date.available | 2021-02-10T11:58:08Z | |
| dc.date.available | 2025-09-18T13:27:18Z | |
| dc.date.issued | 2019 | |
| dc.description | Wu, Guo-Cheng/0000-0002-1946-6770 | en_US |
| dc.description.abstract | The Laplace transform is important for exact solutions of linear differential equations and frequency response analysis methods. In comparison with the continuous-time systems, less results can be available for fractional difference equations. This study provides some fundamental results of two kinds of fractional difference equations by use of the Laplace transform. Some discrete Mittag-Leffler functions are defined and their Laplace transforms are given. Furthermore, a class of variable-order and short memory linear fractional difference equations are proposed and the exact solutions are obtained. | en_US |
| dc.description.sponsorship | TUBTAK, (TBAG–117F473); Sichuan Province Science and Technology Support Program, (2018JY0120); Türkiye Bilimsel ve Teknolojik Araştırma Kurumu, TÜBİTAK | en_US |
| dc.description.sponsorship | Scientific and Technological Research Council of Turkey (TUBTAK) [TBAG-117F473]; Sichuan Science and Technology Support Program [2018JY0120] | en_US |
| dc.description.sponsorship | The first author (D. B.) is supported by the Scientific and Technological Research Council of Turkey (TUBTAK) (Grant No. TBAG-117F473). The second author Guo-Cheng Wu is supported by Sichuan Science and Technology Support Program (Grant No. 2018JY0120). | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Wu, Guo-Cheng (2019). "Some further results of the laplace transform for variable-order fractional difference equations", Fractional Calculus and Applied Analysis, Vol. 22, No. 6, pp. 1641-1654. | en_US |
| dc.identifier.doi | 10.1515/fca-2019-0084 | |
| dc.identifier.issn | 1311-0454 | |
| dc.identifier.issn | 1314-2224 | |
| dc.identifier.scopus | 2-s2.0-85076731181 | |
| dc.identifier.uri | https://doi.org/10.1515/fca-2019-0084 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12885 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springernature | en_US |
| dc.relation.ispartof | Fractional Calculus and Applied Analysis | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Laplace Transform | en_US |
| dc.subject | Fractional Difference Equations | en_US |
| dc.subject | Variable-Order | en_US |
| dc.subject | Short Memory | en_US |
| dc.title | Some Further Results of the Laplace Transform for Variable-Order Fractional Difference Equations | en_US |
| dc.title | Some further results of the laplace transform for variable-order fractional difference equations | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Wu, Guo-Cheng/0000-0002-1946-6770 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 23390775700 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Wu, Guo-Cheng/T-9088-2017 | |
| gdc.author.yokid | 56389 | |
| gdc.bip.impulseclass | C3 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C3 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul En, Coll Mech & Mat, Nanjing 210098, Jiangsu, Peoples R China; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Wu, Guo-Cheng] Neijiang Normal Univ, Data Recovery Key Lab Sichuan Prov, Coll Math & Informat Sci, Neijiang 641100, Peoples R China; [Wu, Guo-Cheng] Neijiang Normal Univ, Numer Simulat Key Lab Sichuan Prov, Neijiang 641110, Peoples R China | en_US |
| gdc.description.endpage | 1654 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 1641 | en_US |
| gdc.description.volume | 22 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W3000123467 | |
| gdc.identifier.wos | WOS:000508006500010 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 34.0 | |
| gdc.oaire.influence | 7.172117E-9 | |
| gdc.oaire.isgreen | true | |
| gdc.oaire.keywords | fractional difference equations | |
| gdc.oaire.keywords | short memory | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Laplace transform | |
| gdc.oaire.keywords | Numerical methods for difference equations | |
| gdc.oaire.keywords | variable-order | |
| gdc.oaire.popularity | 5.0981907E-8 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 4.01821524 | |
| gdc.openalex.normalizedpercentile | 0.95 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 70 | |
| gdc.plumx.crossrefcites | 30 | |
| gdc.plumx.mendeley | 2 | |
| gdc.plumx.scopuscites | 70 | |
| gdc.publishedmonth | 12 | |
| gdc.scopus.citedcount | 74 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 65 | |
| 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 |