In this paper is we will try to generalizes actions of a group on a set to deal with situations where imprecision and uncertainty are present. Intuitionistic Fuzzy actions can handle the granularity of a set or even create it by defining an intuitionistic fuzzy equivalence relation on it.
In this work, we use the homotopy analysis method in order to solve a fractional differential equations with intuitionistic fuzzy initial data under generalized fuzzy Caputo derivative.
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