Resumen de Fuzzy Differential Equations with Arithmetic and Derivative via Zadeh's Extension
We adopt the derivative for fuzzy functions obtained via Zadeh's extension of the classical derivative operator and implement it in dynamical systems. Particularly, we find solutions to fuzzy initial value problems (FIVPs) that preserve the main properties and characteristics of functions of the base space, as periodicity and stability. This is a known feature of fuzzy differential inclusions (FDIs). However, unlike solving inclusions, we study a theory for fuzzy differential equations (FDEs). Some examples are provided to illustrate the theory and the solutions to FIVP are compared with those from other approaches.
