can you help me to solve this recurrence equation asymptotically?
my recurrence relation is $f\left(n\right)=f\left(\frac{n}{3}\right)+f\left(\frac{n}{6}\right)+\left(n\right)^{\sqrt{\log\ n}}$ I tried to solve this recurrence relation with recursive tree but it did not work because of the function that make my relation nonhomogeneous! please help me to solve it!