On the partial delta differentiability of fuzzy-valued functions via the generalized Hukuhara difference

In this paper, we propose the concept of partial delta derivatives of binary fuzzy-valued functions on time scales via the generalized Hukuhara difference. The first focus is on the definition and essential properties of the partial delta derivatives that are naturally investigated based on the limit of fuzzy-valued functions on time scales. Then, we consider the fuzzy transport equation on time scales as an application of the proposed derivatives. Some examples are provided to illustrate their solutions.