Naser, M. F. M.Al-Smadi, M.Al-Omari, S. K. Q.Baleanu, D.Gumah, G.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2021-01-282025-09-182021-01-282025-09-182020Gumah, G...et al. (2020). "Numerical solutions of hybrid fuzzy differential equations in a Hilbert space", Applied Numerical Mathematics, Vol. 151, pp. 402-412.0168-92741873-5460https://doi.org/10.1016/j.apnum.2020.01.008https://hdl.handle.net/20.500.12416/14620Naser, Mohammad Fuad Mohammad/0000-0001-6905-6510; Al-Smadi, Mohammed/0000-0003-0226-7254; Al-Omari, Shrideh/0000-0001-8955-5552The 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.eninfo:eu-repo/semantics/closedAccessHybrid Fuzzy Differential EquationFuzzy DerivativeGram-Schmidt ProcessReproducing Kernel FunctionHilbert SpaceArticle10.1016/j.apnum.2020.01.0082-s2.0-85077993954