Soft Methods for Handling Variability and Imprecision

Volume 48 of the series Advances in Soft Computing pp 218-225

On Boundary Value Problems for Fuzzy Differential Equations

  • Rosana Rodríguez-LópezAffiliated withDepartamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela

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In many real phenomena, it is interesting to study the periodic behavior of the magnitudes involved. If a certain natural process is subject to imprecise factors, its modelization can be made by using fuzzy differential equations or fuzzy dynamical systems. The special properties of the functions which are differentiable in the sense of Hukuhara (in particular, the solutions to fuzzy differential equations) make it difficult to handle periodic phenomena by means of fuzzy differential models. We include some considerations on the analysis of boundary value problems associated with fuzzy differential equations from the point of view of Hukuhara-differentiability.


Fuzzy differential equations Boundary value problems Periodic solutions