Beschreibung:
<jats:p>In this paper, we investigate and prove a new discrete <jats:inline-formula>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="M2">
<mi>q</mi>
</math>
</jats:inline-formula>-fractional version of the coupled Gronwall inequality. By applying this result, the finite-time stability criteria of solutions for a class of nonlinear <jats:inline-formula>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="M3">
<mi>q</mi>
</math>
</jats:inline-formula>-fractional difference coupled delay systems are obtained. As an application, an example is provided to demonstrate the effectiveness of our result.</jats:p>