There are many published papers about the fractional q-integro-differential equations and stability results of fractional differential equations. In this work, by using some well-known techniques of fixed point theory and the basic concepts defined in a generalized complete metric space, we look into two new stability results of Hyers-Ulam and Mittag-Leffler-Hyers-Ulam for a sum-type fractional q-integro-differential equation.
