To search for books at U of A libraries, go to the online catalog, Infolinks, at http://library.uark.edu. Some books on Islamic law at Young Law Library are listed below. Mullins Library also has books on Islamic law. Books on this topic tend to have a call number beginning with BP or KBP.
Some links below are to free websites, while others are to U of A databases. For articles at U of A, check Infolinks at http://library.uark.edu/ to see if current journal issues are available in print. It is not unusual for journal publishers to require that articles don't appear in databases until 12 months after the print issues are published.
The Koran (the word of God as told to the Phophet Mohammed)
The Sunnah (Mohammed's standard practices)
The Hadith (a narration of Mohammed's sayings, actions, and attributes)
Islamic jurisprudence based on Sharia is called fiqh. There are four major Sunni schools of fiqh: Maliki, Hanafi, Shaf'i, and Hanbali. Jafari is the major Shiite school. Many countries with large Muslim populations have legal systems influenced by one or more of the fiqhs.
From a 2004 workshop co-sponsored by AALS, American Society of Comparative law, and The Law and Society Association. Covers the sources, characteristics, and system of Islamic law, plus an application of the law to areas including women’s rights, land recovery, family law, legislation, criminal law, contract law, finance, conflict resolution, international and humanitarian law, legal reasoning, Islamic law in Muslim-majority and non-majority countries, and constitutionalism.
Web archive of information provided by MSA West, an organization of West Coast Muslim Student Associations. This was once at the University of Southern California, which now has information at the Center for Muslim-Jewish Engagement: http://www.usc.edu/schools/college/crcc/engagement/resources/texts/