On the linear fuzzy model associated with Caputo–Fabrizio operator

Abstract

Abstract In this paper, we introduce the fuzzy Caputo–Fabrizio operator under generalized Hukuhara differentiability concept. In this setting, we study the linear fuzzy fractional initial value problems and present the general form of their solutions. Some examples are given to illustrate our results.

Keywords

• Caputo–Fabrizio operator
• Fuzzy fractional initial value problem
• Generalized differentiability
• Fuzzy differential equations