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By using an endpoint result for set-valued maps, we study the existence of solutions for a fractional q-differential inclusion with sum and integral boundary value conditions on the time scale $\mathbb{T}_{t_{0}}= \{t_{0} q, t_{0} q^{2},\ldots \} \cup \{0\}$, where $t_{0}$ is a real number and $q \in (0,1)$. We provide an example involving some graphs and algorithms via numerical calculations to illustrate our main result.

On a fractional q-differential inclusion on a time scale via endpoints and numerical calculations