Der Hijri calendar wäre auf Deutsch der Hidschra-Kalender oder Hedschra-Kalender.

https://www.aljazeera.com/news/2022/7/29/isla...

 Islamic New Year and the different calendars around the world

The arrival of the new crescent moon marks the start of the year 1444 on the Islamic lunar calendar.

 ... The Hijri calendar, which comes from the Arabic word “hijra”, is named for the migration of the Prophet Muhammad from Mecca to Medina more than 1,400 years ago. ...

 ... A Hijri month alternates between 29 and 30 days. This makes a Hijri year about 11 days shorter than the Gregorian, with one year coming to 354-355 days. ...

https://www.islamic-relief.org.uk/resources/i...

https://www.islamicreliefcanada.org/resources...

 ... Islamic Calendar 2023 – Hijri Calendar 1444 / 1445

Muslims around the world use the Islamic Calendar (also known as the Lunar or Hijri calendar) to determine the dates of religious events and observances. This Hijri calendar is based on 12 lunar months – a new month begins when a new moon is sighted. ...

auch: die islamische Zeitrechnung

Die islamische Zeitrechnung beginnt am 16. Juli 622 Jahren mit dem Aufbruch Mohammeds in die Oasenstadt Medina. 

Die Kalender der Weltreligionen: Islam, Judentum, Christentum, Buddhismus, Hinduismus, Bahai | MDR.DE

Doch den Beginn der islamischen Zeitrechnung markiert die Auswanderung des Propheten Muhammad (Friede sei auf ihm) von Mekka nach Medina (Hidschra genannt). 

Die Zeitrechnung im islamischen Kalender | NDR.de - Kultur - Sendungen - Freitagsforum

https://www.allaboutturkey.com/islamic_calend...

"The Islamic calendar starts with the Hijra (or Hegira) in 622 AD, when Muhammad (p.b.u.H) and his followers migrated from Mecca to Medina in order to escape persecutions. Unlike the Gregorian (or Julian) calendar which is based on solar months, the Islamic calendar is based on lunar months; One turn of the moon around the earth is one year."