dc.contributor.author |
Gumah, G.
|
|
dc.contributor.author |
Naser, M. F. M.
|
|
dc.contributor.author |
Al-Smadi, M.
|
|
dc.contributor.author |
Al-Omari, S. K. Q.
|
|
dc.contributor.author |
Baleanu, Dumitru
|
|
dc.date.accessioned |
2021-01-28T12:20:14Z |
|
dc.date.available |
2021-01-28T12:20:14Z |
|
dc.date.issued |
2020-05 |
|
dc.identifier.citation |
Gumah, G...et al. (2020). "Numerical solutions of hybrid fuzzy differential equations in a Hilbert space", Applied Numerical Mathematics, Vol. 151, pp. 402-412. |
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dc.identifier.issn |
0168-9274 |
|
dc.identifier.issn |
1873-5460 |
|
dc.identifier.uri |
http://hdl.handle.net/20.500.12416/4482 |
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dc.description.abstract |
The main goal of this work is to study a numerical method for certain hybrid fuzzy differential equations with an application of a reproducing kernel Hilbert space technique for fuzzy differential equations. Meanwhile, we construct a system of orthogonal functions of the space W-2(2)[a, b] circle plus W-2(2)[a, b] depending on a Gram-Schmidt orthogonalization process to get approximate-analytical solutions of a hybrid fuzzy differential equation. A proof of convergence of this method is also discussed in detail. The exact as well as the approximate solutions are displayed by a series in terms of their alpha-cut representation form in the Hilbert space W-2(2)[a, b] circle plus W-2(2)[a, b]. To demonstrate behavior, efficiency, and appropriateness of the present technique, two different numerical experiments are solved numerically in this paper. (C) 2020 IMACS. Published by Elsevier B.V. All rights reserved. |
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dc.language.iso |
eng |
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dc.relation.isversionof |
10.1016/j.apnum.2020.01.008 |
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dc.rights |
info:eu-repo/semantics/closedAccess |
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dc.subject |
Hybrid Fuzzy Differential Equation |
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dc.subject |
Fuzzy Derivative |
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dc.subject |
Gram-Schmidt Process |
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dc.subject |
Reproducing Kernel Function |
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dc.subject |
Hilbert Space |
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dc.title |
Numerical solutions of hybrid fuzzy differential equations in a Hilbert space |
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dc.type |
article |
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dc.relation.journal |
Applied Numerical Mathematics |
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dc.contributor.authorID |
56389 |
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dc.identifier.volume |
151 |
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dc.identifier.startpage |
402 |
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dc.identifier.endpage |
412 |
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dc.contributor.department |
Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü |
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