Existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces

Abstract

Abstract In this manuscript, the existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces is studied and the fuzzy version of some fixed point results by using the definition and properties of a complex-valued fuzzy metric space is presented. Ultimately, some appropriate examples are constructed to illustrate our theoretical results.

Keywords

• Complex-valued t-norm
• Complex-valued fuzzy metric space
• Common fixed point
• Cauchy sequence
• Coupled system of impulsive fractional differential equations