Abstract
This work is committed to establish the necessary assumptions related with the existence and uniqueness of solutions to a nonlocal coupled impulsive fractional differential equation. We attain our main results by the use of Krasnoselskii's fixed point theorem and Banach contraction principle. Additionally, we create a framework for studying the Hyers-Ulam stability of the considered problem. For the applications of theoretical result, we discuss an example at the end.
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