dc.contributor.author |
Khan, Hasib
|
|
dc.contributor.author |
Alzabut, Jehad
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.contributor.author |
Alobaidi, Ghada
|
|
dc.contributor.author |
Rehman, Mutti-Ur
|
|
dc.date.accessioned |
2023-12-07T12:31:42Z |
|
dc.date.available |
2023-12-07T12:31:42Z |
|
dc.date.issued |
2023 |
|
dc.identifier.citation |
Khan, Hasib...et.al. (2023). "Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application", AIMS Mathematics, Vol.8, No.3, pp.6609-6625. |
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dc.identifier.issn |
24736988 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/6769 |
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dc.description.abstract |
In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for mABC-fractional differential equations (mABC-FDEs) with initial conditions; additionally, a numerical scheme based on the the Lagrange’s interpolation polynomial is established and applied to a dynamical system for the applications. We also study the uniqueness and Hyers-Ulam stability for the solutions of the presumed mABC-FDEs system. Such a system has not been studied for the mentioned mABC-operator and this work generalizes most of the results studied for the ABC operator. This study will provide a base to a large number of dynamical problems for the existence, uniqueness and numerical simulations. The results are compared with the classical results graphically to check the accuracy and applicability of the scheme. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.3934/math.2023334 |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.subject |
Existence Of Solutions |
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dc.subject |
Unique Solution |
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dc.subject |
Hybrid Fractional Differential Equations |
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dc.subject |
Hyers-Ulam-Stability |
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dc.subject |
Modified ABC-Operator |
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dc.subject |
Numerical Simulations |
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dc.title |
Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application |
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dc.type |
article |
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dc.relation.journal |
AIMS Mathematics |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
8 |
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dc.identifier.issue |
3 |
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dc.identifier.startpage |
6609 |
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dc.identifier.endpage |
6625 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü |
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