A novel application of Banach's fixed point theorem to fractional differential equations of arbitrary order. The idea involves a new metric based on the Mittag-Leffler function. The technique is applied to gain the existence and uniqueness of solutions to initial value problems. http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jiea/1340369466 https://drive.google.com/file/d/0B_Sg9hzjrvTbWEc4VFN6amZHVk0/view?usp=sharing This presentation is a snapshot of my current mathematical research.