Reference: http://mufti.af.org.sa/ar/content/حكم-قراءة-القرآن-من-الجوال-من-غير-طهارة
Question: What is the ruling regarding reading the Qur.aan from a mobile phone whilst not in a state of purity; is it permissible?
Response: There is no harm [in doing so], because it is not a Qur.aan that is in your hands, rather it is a mobile phone.