Iterative system of nabla fractional difference equations with two-point boundary conditions
| dc.contributor.author | Khuddush, Mahammad | |
| dc.contributor.author | Prasad, K. Rajendra | |
| dc.coverage.issue | 1 | cs |
| dc.coverage.volume | 11 | cs |
| dc.date.accessioned | 2022-06-23T12:18:24Z | |
| dc.date.available | 2022-06-23T12:18:24Z | |
| dc.date.issued | 2022 | cs |
| dc.description.abstract | In this paper, we consider the nabla fractional order boundary value prob- lem ∇ß−1 n0 [∇zj (t)] + φ(t)gj (zj+1(t)) = 0, t ∈ Nn n0+2, 1 < ß < 2, azj (n0 + 1) − b∇zj (n0 + 1) = 0, czj (n) + d∇zj (n) = 0, where j = 1, 2, . . . , N , zN +1 = z1, N ∈ N, n0, n ∈ R with n − n0 ∈ N and de- rive sufficient conditions for the existence of positive solutions by an application of Krasnoselskii’s fixed point theorem on a Banach space. Later, we derive suffi- cient conditions for the existence of a unique solution by applying Rus’s contraction mapping theorem in a metric space, where two metrics are employed. | en |
| dc.format | text | cs |
| dc.format.extent | 57-74 | cs |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Mathematics for Applications. 2022 vol. 11, č. 1, s. 57-74. ISSN 1805-3629 | cs |
| dc.identifier.doi | 10.13164/ma.2022.06 | en |
| dc.identifier.issn | 1805-3629 | |
| dc.identifier.uri | http://hdl.handle.net/11012/207744 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.relation.ispartof | Mathematics for Applications | en |
| dc.relation.uri | http://ma.fme.vutbr.cz/archiv/11_1/ma_11_1_khuddush_prasad_final.pdf | cs |
| dc.rights | © Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.rights.access | openAccess | en |
| dc.subject | nabla fractional derivative | |
| dc.subject | iterative sysytem | |
| dc.subject | boundary value problem | |
| dc.subject | cone | |
| dc.subject | fixed point theorem | |
| dc.subject | Rus’s theorem | |
| dc.title | Iterative system of nabla fractional difference equations with two-point boundary conditions | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| eprints.affiliatedInstitution.department | Ústav matematiky | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |
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