Solving fuzzy differential equations by differential transformation method

Authors:
T. Allahviranloo;N. A. Kiani;N. Motamedi
Affiliations:
Department of Mathematics, Science and Research Branch, Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran;Department of Mathematics, Science and Research Branch, Islamic Azad University, Hesarak, Poonak, Tehran 14778, Iran;Department of Mathematics, K.N.Toosi University of Technology, Tehran, Iran
Venue:
Information Sciences: an International Journal
Year:
2009

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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.