dc.contributor.author |
Baleanu, Dumitru
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|
dc.contributor.author |
Rezapour, Shallram
|
|
dc.contributor.author |
Salehi, Saeid
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|
dc.date.accessioned |
2022-11-11T11:36:45Z |
|
dc.date.available |
2022-11-11T11:36:45Z |
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dc.date.issued |
2015-07 |
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dc.identifier.citation |
Baleanu, Dumitru; Rezapour, Shallram; Salehi, Saeid (2015). "On some self-adjoint fractional finite difference equations", Journal of Computational Analysis and Applications, Vol. 19, No. 1, pp. 59- 67. |
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dc.identifier.issn |
1521-1398 |
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dc.identifier.uri |
http://hdl.handle.net/20.500.12416/5855 |
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dc.description.abstract |
Recently, the existence of solution for the fractional self-adjoint equation Δν ν-1(pΔy)(t) = h(t) for order 0 < ν ≤ 1 was reported in [9]. In thispaper, we investigated the self-adjoint fractional finite difference equation Δν ν-2((pΔy)(t) = h(t, p(t + ν - 2)Δy(t + ν - 2)) via the boundary conditions y(ν - 2) = 0, such that Δy (ν - 2) = 0 and Δy(ν + b) = 0. Also, we analyzed the self-adjoint fractional finite difference equation Δν ν-2(pΔ2y)(t) = h(t, p(t + ν - 3) Δ2y(t + ν - 3)) via the boundary conditions y(ν - 2) = 0, Δy(ν - 2) = 0, Δ2y(ν - 2) = 0 and Δ2y(ν + b) = 0. Finally, we conclude a result about the existence of solution for the general equation Δν-2937(pΔmy)(t) = h(t, p(t + ν - m - 1)Δmy(t + ν - m - 1)) via the boundary conditions y(ν - 2) = Δy(ν - 2) = Δ2y(ν - 2) = … = Δmy(ν - 2) = 0 and Δmy(ν + b) = 0 for order 1 < ν ≤ 2. © 2015, Eudoxus Press, LLC. All rights reserved. |
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dc.language.iso |
eng |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.title |
On some self-adjoint fractional finite difference equations |
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dc.type |
article |
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dc.relation.journal |
Journal of Computational Analysis and Applications |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
19 |
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dc.identifier.issue |
1 |
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dc.identifier.startpage |
59 |
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dc.identifier.endpage |
67 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü |
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