"Islamic" seems like a much more accurate descriptor than "Arabian"? For example, looking up al-Khowarizmi, I see that the first sentence of his Wikipedia page is:
> Muḥammad ibn Mūsā al-Khwārizmī (Persian: محمد بن موسی خوارزمی, Arabic: محمد بن موسى الخوارزمی; c. 780 – c. 850), formerly Latinized as Algoritmi, was a Persian (modern Khiva, Uzbekistan) mathematician, astronomer, and geographer during the Abbasid Caliphate, a scholar in the House of Wisdom in Baghdad.
Or, looking up ibn Battuta:
> All that is known about Ibn Battuta's life comes from the autobiographical information included in the account of his travels, which records that he was of Berber descent, born into a family of Islamic legal scholars in Tangier, Morocco, on 25 February 1304, during the reign of the Marinid dynasty.
There were a lot more subjects of Arabian empires than there were Arabs.