dc.contributor.author |
Salahshour, S.
|
|
dc.contributor.author |
Ahmadian, Ali
|
|
dc.contributor.author |
Abbasbandy, S.
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.date.accessioned |
2020-03-18T13:48:18Z |
|
dc.date.available |
2020-03-18T13:48:18Z |
|
dc.date.issued |
2018-12 |
|
dc.identifier.citation |
Salahshour, S.; Ahmadian, A.; Abbasbandy, S.; et al., "M-fractional derivative under interval uncertainty: Theory, properties and applications", Chaos Solitons & Fractals, Vol. 117, pp. 84-93, (2018). |
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dc.identifier.issn |
0960-0779 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/2670 |
|
dc.description.abstract |
In the recent years some efforts were made to propose simple and well-behaved fractional derivatives that inherit the classical properties from the first order derivative. In this regards, the truncated M-fractional derivative for alpha-differentiable function was recently introduced that is a generalization of four fractional derivatives presented in the literature and has their important features. In this research, we aim to generalize this novel and effective derivative under interval uncertainty. The concept of interval truncated M-fractional derivative is introduced and some of the distinguished properties of this interesting fractional derivative such as Rolle's and mean value theorems, are developed for the interval functions. In addition, the existence and uniqueness conditions of the solution for the interval fractional differential equations (IFDEs) based on this new derivative are also investigated. Finally, we present the applicability of this novel interval fractional derivative for IFDEs based on the notion of w-increasing (w-decreasing) by solving a number of test problems. (C) 2018 Elsevier Ltd. All rights reserved. |
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dc.language.iso |
eng |
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dc.publisher |
Pergamon-Elsevier Science LTD |
tr_TR |
dc.relation.isversionof |
10.1016/j.chaos.2018.10.002 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
M-Fractional Derivative |
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dc.subject |
Interval Arithmetic |
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dc.subject |
Interval-Valued Function |
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dc.subject |
Generalized Hukuhara Differentiability |
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dc.subject |
Truncated Mittag-Leffler Function |
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dc.title |
M-fractional derivative under interval uncertainty: Theory, properties and applications |
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dc.type |
article |
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dc.relation.journal |
Chaos Solitons & Fractals |
tr_TR |
dc.contributor.authorID |
56389 |
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dc.identifier.volume |
117 |
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dc.identifier.startpage |
84 |
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dc.identifier.endpage |
93 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü |
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