La th\'eorie floue et la d\'erivation fractionnaire : Application aux \'equations diff\'erentielles hybrides

TL;DR

This thesis explores fuzzy set theory, fractional derivatives, and their application to solving first-order fuzzy hybrid differential equations, contributing to the understanding of complex systems with uncertainty.

Contribution

It introduces the application of fractional derivatives within fuzzy set theory to solve fuzzy hybrid differential equations for the first time.

Findings

Demonstrated the use of fractional derivatives in fuzzy differential equations

Provided methods for solving first-order fuzzy hybrid equations

Enhanced understanding of fuzzy systems with fractional calculus

Abstract

On this thesis we present the fuzzy sets, fuzzy numbers, the fractional derivative and also we discuss the solution of the first order of fuzzy hybrid equation.