EXISTENCE OF A SOLUTION TO THE CAUCHY PROBLEM FOR THE HIERARCHICAL FUZZY EVOLUTION EQUATION ACCORDING TO THE LINEARLY CORRELATED DERIVATIVE CAPUTO
Keywords:
Caputo order linear correlation derivative, linearly correlated fuzzy space, fixed point theorem
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
