The technical analysis of a coin will concentrate on the way assets that are similar to the asset in question have performed in the past and look at the historical performance of the asset to estimate how it will move going forward.
Technical analysis is based primarily upon the market performance of an asset and the market performance of other, comparable assets.
The fundamental analysis is concerned with the inherent value of a project. While this is a viable option with a number of cryptocurrencies, this is a much more prevalent approach in traditional trading, where turnover is not as rapid and projects are much more transparent. If you apply fundamental analysis to cryptocurrency you are going to want to concentrate on the value of the currency itself (does it have a unique strong value?) and the strength of the community behind the currency.