Solvability of an intuitionistic fuzzy fractional differential equation of second type

In this research, we provide certain novel requirements for the existence and uniqueness of fuzzy solutions for a type of non-linear intuitionistic fuzzy fractional equations with intuitionistic fuzzy initial conditions under the intuitionistic fuzzy fractional derivative of order $n \in (0,3)$ in Caputo sense. The required findings are demonstrated by employing the Banach fixed point theorem, the intuitionistic fuzzy Laplace transform and the Mittag-Leffler function. An example is provided to demonstrate the reliability of our findings.