Learn about domestic partnership laws in Arizona, including legal rights, requirements, and how they differ from marriage for couples in the state. Dissolution of Marriage Without Children.In many cases, unmarried parents can agree to share parenting responsibilities, including decisionmaking and parenting time. Two individuals seeking to become domestic partners must complete and file a declaration of domestic partnership in person with the City Clerk Department. Dissolution of Marriage With Children. Under Arizona law, step-parents, grandparents, aunts, uncles, or other non-parents who have acted as parents to a child, have legal rights. Make sure your form is titled "PETITION FOR DISSOLUTION OF MARRIAGE (DIVORCE) WITHOUT. CHILDREN. The reality in the United States today is that more and more couples are deciding to live together without getting married. You may receive a Court order requiring you to fill out an Arizona Affidavit of Financial Information (often called an "AFI"). In What States Are Common Law Marriages Legal?