Exploring Fuzzy Nabla Dynamics on Time Scales with the Characterization Theorem

Abstract

This paper is committed to proving the local existence, and uniqueness theorem for fuzzy nabla-dynamic equations on time scales (FNDES-) under the Characterization theorem for fuzzy functions with the help of generalized -H (nabla Hukuhara) differentiability, which aims to convert FNDES- into a system of nabla-dynamic equations on time scales (NDES-). If we take as integers then the FNDES- transform to the system of difference equations, or if we decide as Reals then the FNDES- transform to the system of differential equations. Moreover, it is accompanied by appropriate examples that improve the suggested work.