Recent efforts by several researchers around the world to combine fractal geometry with electromagnetic theory have led to a large number of novel and innovative antenna designs. In this research work, we provide a comprehensive overview of the latest advances in the rapid development of fractal antenna engineering. Fractal antenna engineering research focuses on two aspects: the first is the analysis and design of fractal antenna elements and the second is the application of fractal theory in antenna array design. Fractals do not have feature sizes and are usually replicated by themselves at different scales. These unique properties of fractal have been developed for the development of new types of antenna element designs in multi-band or compact size. On the other hand, fractal arrays are a subset of sparse arrays and have been shown to have many very desirable properties, including multi-band performance. Low sidelobe level, and the ability to develop fast beamforming algorithms based on the fractal, recursive nature. In this research work, we are presenting four band fractal antenna used for GPS, 4G and 5G applications. The antenna is simulated in HFSS (High-Frequency Structure Simulator) software tool. For the optimization of the proposed work parametric analysis is performed at various dimensions of the fractal antenna.