Hi,
The arabic date seems to me as 1303 which can be correctly converted as 1885-1886.
However, from 1840 onwards the Ottomans started to use a second calendar which was called the Rumi calendar. The basic aim was to use a calendar which was compatible with the European calendar. Anyway, if your date is a Rumi date, then its Gregorian equivalent is 1887-1888.
best,
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