On fractional evolution equations with an extended ψ−fractional derivative

Abstract

This manuscript aims to highlight the existence and uniqueness results for a class of fuzzy nonlinear fractional evolution equations. Our approach is based on the application of an extended ??Caputo fractional derivative of order q ?(0,1) valid on fuzzy functions paired with Banach contraction principle. As an example of application, we provide one at the end of this paper to show how the results can be used.