I can't help you with the specific details, but here are a few references that might come in handy. Be aware that the project will be more detailed and expensive than you might think. It takes a decent power source to provide enough electricity to charge a laptop. Even with mass production, the least expensive commercial unit I could find was around $140 and available at this site;
Solar Charger
A few other important facts can be found here;
How To Make Electricity
And lastly, if you want to try your hand at an alternative, just to get some experience, you could try the USB power supply described in this video;
Linear Mode
