dc.contributor.author |
Abdeljawad, Thabet
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.date.accessioned |
2019-12-16T13:28:45Z |
|
dc.date.available |
2019-12-16T13:28:45Z |
|
dc.date.issued |
2017-03-09 |
|
dc.identifier.citation |
Abdeljawad, Thabet; Baleanu, Dumitru (2017). Monotonicity results for fractional difference operators with discrete exponential kernels, Advances in Difference Equations. |
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dc.identifier.issn |
1687-1847 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/2163 |
|
dc.description.abstract |
We prove that if the Caputo-Fabrizio nabla fractional difference operator ((CFR) (a-1)del(alpha) y)(t) of order 0 < alpha <= 1 and starting at a -1 is positive for t = a, a + 1,..., then y(t) is a-increasing. Conversely, if y(t) is increasing and y(a) >= 0, then ((CFR) (a-1)del(alpha)y)(t) >= 0. A monotonicity result for the Caputo-type fractional difference operator is proved as well. As an application, we prove a fractional difference version of the mean-value theorem and make a comparison to the classical discrete fractional case. |
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dc.language.iso |
eng |
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dc.publisher |
Springer International Publishing AG |
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dc.relation.isversionof |
10.1186/s13662-017-1126-1 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Discrete Exponential Kernel |
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dc.subject |
Caputo Fractional Difference |
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dc.subject |
Riemann Fractional Difference |
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dc.subject |
Discrete Fractional Mean Value Theorem |
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dc.title |
Monotonicity results for fractional difference operators with discrete exponential kernels |
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dc.type |
article |
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dc.relation.journal |
Advances in Difference Equations |
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dc.contributor.authorID |
56389 |
tr_TR |
dc.contributor.authorID |
143529 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü |
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