ICNPAA 2010 World Congress

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Fuzzy differential equations

Tofigh Allahviranloo

Last modified: 2010-04-05

Abstract


In this presentation I am going to discuss about several methods of finding, numerically and analytically, solutions of first order Fuzzy Differential Equations(FDEs) and higher order FDEs. First of all, the existence and uniqueness of the solution are discussed. Then, difference methods such as Runge-Kutta, Predictor-Corrector and the differential transformation method are presented. Analytical methods such as the fuzzy Laplace transformation, Eigen value and vector and Expansion methods are also introduced. Finally, all of the above mentioned methods are followed by consideration of related theorems in detail and some numerical examples are solved.