Make use of rectangular active patches with rectangular slots on the top layer.

Basically, partial grounds mostly yield wide bands. So, instead of partial ground use

full ground. 

you can design a notched slots in the antenna in order to interrupt the bandwidth at the required frequencies splitting it into two bands

Hi, Abdulhasan.

The speak of  Anvesh and Hend are right, you can use any notched techniques, such as slot, open stub, DGS and EPG.

With my best regards

use of higher modes excitation may create another band