Existence-uniqueness of solutions for fuzzy nabla initial value problems on time scales

Abstract

Abstract This paper is devoted to studying the existence and uniqueness of solutions of fuzzy nabla dynamic equations on time scales under Hukuhara differentiability. We apply the Banach contraction mapping principle to establish existence and uniqueness solution for fuzzy nabla initial value problems on time scales and also obtain existence result using Ascoli’s theorem and Schauder’s fixed point theorem.

Keywords

• Time scales
• Hukuhara difference
• Nabla Hukuhara derivative
• Fuzzy differential equations