EXISTENCE OF A SOLUTION TO THE CAUCHY PROBLEM FOR THE HIERARCHICAL FUZZY EVOLUTION EQUATION ACCORDING TO THE LINEARLY CORRELATED DERIVATIVE CAPUTO

Abstract

     In this paper, we introduce and prove some properties of the Caputo fractional linear correlation derivative. From there, we study the existence of solutions of Cauchy's problem for the evolutionary equation in the space of linearly correlated fuzzy numbers according to the Caputo