In the Name of Allah, the Most Gracious, the Most Merciful.
As-salāmu ‘alaykum wa-rahmatullāhi wa-barakātuh.
It is impermissible to touch the screen of the cell phone without wudu while the Ayats of the Quran Karim are being displayed on the screen. However, it is permissible to touch the other parts of the phone during that time.
Having a Quranic app on a cell phone that is usually in one’s pocket is undesirable.
And Allah Ta’āla Knows Best
Mufti Saeed Ahmed Golaub
Islamic Solutions
Jamaica