A study on fuzzy Volterra integral equations for S-correlated fuzzy processes on time scales

In the paper, we propose a new notion of differentiability and integrability for S-correlated fuzzy processes on time scales and highlight some of their properties. With these concepts, we investigate fuzzy Volterra integral equations for S-correlated fuzzy processes on time scales. Also, we present a connection between fuzzy Volterra integral equations and fuzzy initial value problems for S-correlated fuzzy processes on time scales. In particular, we establish a fuzzy Adomian decomposition method to solve fuzzy Volterra integral equations with fuzzy kernel on time scales. Some illustrative examples are given. & COPY; 2023 Elsevier B.V. All rights reserved. (AU)