The document describes the design and analysis of a fractal shaped antenna over a meta-material substrate. Specifically, it details the design of a Sierpinski fractal antenna with a thickness of 2mm using a meta-material substrate. Simulations were performed using ADS software to calculate parameters like gain, directivity, and efficiency over multiple iterations from 0-10GHz. The results showed the fractal antenna was able to achieve multiband behavior and performance comparable to traditional substrates but in a more compact size enabled by the fractal and meta-material design.