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Browsing by Author "Al-Omari, S. K. Q."

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    Citation - WoS: 43
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    Numerical Solutions of Hybrid Fuzzy Differential Equations in a Hilbert Space
    (Elsevier, 2020) Naser, M. F. M.; Al-Smadi, M.; Al-Omari, S. K. Q.; Baleanu, D.; Gumah, G.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    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.