Solving fuzzy differential equations by differential transformation method |
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| Authors: | T. Allahviranloo N.A. Kiani N. Motamedi |
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| Affiliation: | a Department of Mathematics, Science and Research Branch, Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran
b Department of Mathematics, K.N.Toosi University of Technology, Tehran, Iran |
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| Abstract: | An extension of the differential transformation method (DTM), which is an analytical-numerical method for solving the fuzzy differential equation (FDE), is given. The concept of generalised H-differentiability is used. This concept is based on an enlargement of the class of differentiable fuzzy mappings; to define this, the lateral Hukuhara derivatives are considered. The proposed algorithm is illustrated by numerical examples, and some error comparisons are made with other methods for solving a FDE. |
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| Keywords: | Fuzzy differential equations Fuzzy number Fuzzy-valued function Differential transformation method Generalized differentiability |
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