dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Iqbal, Muhammad Qamar
|
|
dc.contributor.author |
Hussain, Azhar
|
|
dc.contributor.author |
Etemad, Sina
|
|
dc.contributor.author |
Rezapour, Shahram
|
|
dc.date.accessioned |
2022-11-10T12:06:58Z |
|
dc.date.available |
2022-11-10T12:06:58Z |
|
dc.date.issued |
2021-12 |
|
dc.identifier.citation |
Baleanu, Dumitru...et al. (2021). "On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property", Advances in Difference Equations, Vol. 2021, No. 1. |
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dc.identifier.issn |
1687-1839 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/5852 |
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dc.description.abstract |
The main intention of this article is that new techniques of existence theory are used to derive some required criteria pertinent to a given fractional multi-term problem and its inclusion version. In such an approach, we do our research on a fractional integral equation corresponding to the mentioned BVPs. In more precise words, by virtue of this integral equation, we construct new operators which belong to a special category of functions named α-admissible and α-ψ-contraction maps coupled with operators having (AEP)-property. Next, by considering some new properties on the existing Banach space having properties (B) and (Cα) , our argument for ensuring the existence of solutions is completed. In addition, we also add two simulative examples to review our findings by a numerical view. © 2021, The Author(s). |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1186/s13662-021-03356-2 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
(AEP)-Property |
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dc.subject |
Existence Criterion |
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dc.subject |
The Sequential Operator |
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dc.subject |
Α-Admissible Mappings |
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dc.subject |
Α-Ψ-Contractions |
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dc.title |
On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property |
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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 |
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dc.identifier.volume |
2021 |
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dc.identifier.issue |
1 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü |
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