I'm Doug, and I'm very sorry to hear of your situation. My goal is to provide you with excellent service today.
It is important to know that in CA it is not necessary to actually have a lease agreement, or even pay rent, in order to have legal rights of a tenant. Even if your brother never paid rent, he is deemed to be a lawful "occupant" of the property--and you need to make use of the Unlawful Detainer action to effect the eviction.
You still need to first serve a 30 Day Notice of Termination if he has lived on the property for less than a year, and a 60 day Notice if he has lived there more than a year. The process, after you file the Unlawful Detainer Complaint in the court, from start to finish takes on average 3 to 4 weeks and I’m sorry, but there is no way to expedite it beyond that time frame.
If rent is paid on the first, you can serve the notice at anytime, but it won't be effective (the end of the 30 days) until the end of month following the day you first serve them with the Notice of Termination. Here is a link to the 30 day notice of termination form that you must first serve on them. http://lawlibrary.org/download/62.pdf This form can be easily converted to a 60 day form.
Here are the forms you will need---the Summons and Complaint for Unlawful Detainer, the Default form if they don't file an Answer to the Complaint, and a Judgment form:
Unlawful Detainer Form
Request for Entry of Default
Do it Yourself Guide for Evictions
Document to serve on other non-tenant persons staying in the home, if you don’t identify and name them in the Unlawful Detainer Complaint
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I wish you and yours the best in 2016,