This paper studies a class of Hilfer cotangent partial fractional differential equations. Existence and uniqueness of solutions are established using fixed-point theorems, and approximate solutions are constructed. Stability is analyzed via a fractional Gr o nwall-type inequality, leading to generalized Ulam-Hyers and Ulam-Hyers-Rassias stability results. The findings confirm the well-posedness and stability of the proposed system, and an example illustrates the theoretical results.
Sunmitha et al. (Thu,) studied this question.