Numerical Solutions of Hybrid Fuzzy Differential Equations in a Hilbert Space
| 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, D. | |
| dc.contributor.author | Gumah, G. | |
| dc.date.accessioned | 2021-01-28T12:20:14Z | |
| dc.date.accessioned | 2025-09-18T16:06:54Z | |
| dc.date.available | 2021-01-28T12:20:14Z | |
| dc.date.available | 2025-09-18T16:06:54Z | |
| dc.date.issued | 2020 | |
| dc.description | Naser, Mohammad Fuad Mohammad/0000-0001-6905-6510; Al-Smadi, Mohammed/0000-0003-0226-7254; Al-Omari, Shrideh/0000-0001-8955-5552 | en_US |
| 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. | en_US |
| 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. | en_US |
| dc.identifier.doi | 10.1016/j.apnum.2020.01.008 | |
| dc.identifier.issn | 0168-9274 | |
| dc.identifier.issn | 1873-5460 | |
| dc.identifier.scopus | 2-s2.0-85077993954 | |
| dc.identifier.uri | https://doi.org/10.1016/j.apnum.2020.01.008 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14620 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Applied Numerical Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Hybrid Fuzzy Differential Equation | en_US |
| dc.subject | Fuzzy Derivative | en_US |
| dc.subject | Gram-Schmidt Process | en_US |
| dc.subject | Reproducing Kernel Function | en_US |
| dc.subject | Hilbert Space | en_US |
| dc.title | Numerical Solutions of Hybrid Fuzzy Differential Equations in a Hilbert Space | en_US |
| dc.title | Numerical solutions of hybrid fuzzy differential equations in a Hilbert space | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Naser, Mohammad Fuad Mohammad/0000-0001-6905-6510 | |
| gdc.author.id | Al-Smadi, Mohammed/0000-0003-0226-7254 | |
| gdc.author.id | Al-Omari, Shrideh/0000-0001-8955-5552 | |
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| gdc.author.scopusid | 14828685700 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Gumah, Ghaleb/Aad-3648-2020 | |
| gdc.author.wosid | Naser, Mohammad Fuad Mohammad/C-6968-2014 | |
| gdc.author.wosid | Al-Smadi, Mohammed/F-5380-2017 | |
| gdc.author.wosid | Al-Omari, Shrideh/E-5065-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Gumah, G.; Naser, M. F. M.; Al-Omari, S. K. Q.] Al Balqa Appl Univ, Fac Engn Technol, Dept Phys & Basic Sci, Amman, Jordan; [Al-Smadi, M.] Al Balqa Appl Univ, Ajloun Coll, Dept Appl Sci, Ajloun, Jordan; [Baleanu, D.] Cankaya Univ, Dept Math, Eskisehir Yolu 29 Km, TR-06810 Ankara, Turkey | en_US |
| gdc.description.endpage | 412 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 402 | en_US |
| gdc.description.volume | 151 | en_US |
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| gdc.oaire.keywords | Fuzzy ordinary differential equations | |
| gdc.oaire.keywords | Gram-Schmidt process | |
| gdc.oaire.keywords | Hilbert space | |
| gdc.oaire.keywords | reproducing kernel function | |
| gdc.oaire.keywords | Numerical methods for ordinary differential equations | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | Applications of functional analysis to differential and integral equations | |
| gdc.oaire.keywords | hybrid fuzzy differential equation | |
| gdc.oaire.keywords | fuzzy derivative | |
| gdc.oaire.keywords | Numerical methods for initial value problems involving ordinary differential equations | |
| gdc.oaire.keywords | Hybrid systems of ordinary differential equations | |
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