A microstrip-fed hybrid Fractal antenna for WLAN application is presented in this article. The proposed antenna is composed of meander and Koch elements combined to form a longer curve that extends the electrical length. This approach simultaneously reduces the operating frequency and antenna size. The Green's functions and segmentation method are used to calculate the input impedance of the hybrid Fractal antenna. For analysis, the amalgamated antenna shape is decomposed into simple regular segments. The impedance parameters of the newly arranged shapes are calculated by the corresponding Green's functions. The impedance matrix equations of all the segments are presented so as to display in a single matrix whose solution determines the input impedance of the complete antenna geometry. To validate the theory, a prototype of the proposed antenna has been numerically simulated and experimentally measured. © 2020 The Authors. Engineering Reports published by John Wiley & Sons Ltd.