The investigation of the solutions of some fuzzy initial value problems with generalized hukuhara method
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Abstract (EN)
In this thesis fuzzy sets and basic properties of fuzzy sets are given. Lotfi A. Zadeh?s extension principle which plays very significant role in fuzzy theory and how to apply this principle are demonstrated with illustrative examples. Also fuzzy number concept and arithmetic operations between fuzzy numbers are explained. Fundamental theorems about fuzzy differential equations are given and solutions of first order and second order fuzzy initial value problems are investigated. Additionally solutions of SIR epidemic model with fuzzy initial values are studied graphically.
Author
Ömer Oruç
Institution
How to Cite
Ömer Oruç (Master Thesis). The investigation of the solutions of some fuzzy initial value problems with generalized hukuhara method, 2011, TOBB Economics and Technology University, Matematik Bölümü.
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