Well, the Hijri date 5 Shawwal 1364 corresponds to the Gregorian date Tuesday, 11 September 1945. This date lies in the tenth month of the Hijri year 1364 AH, which is Shawwal of 1364 AH. Both this Hijri and Gregorian date occur on the single day that is Tuesday without any doubt. The Arabic date 1364/10/05 is calculated using the Umm Al-Qura calendar and the sighting of the moon. One thing to remember is that this Arabic date may occur on different Gregorian date depending upon the region and country and obviously the moon.
If you are still not sure about the date then you can use our Arabic date converter.
The following is the conversion of the Gregorian date 11 September 1945 to its equivalent Arabic date.
The following is the conversion of the Arabic date 5 Shawwal 1364 AH to its equivalent Gregorian date.
قُلْ إِنِّىٓ أَخَافُ إِنْ عَصَيْتُ رَبِّى عَذَابَ يَوْمٍ عَظِيمٍۢ
Say: Lo! if I should disobey my Lord, I fear the doom of a tremendous Day.
Surah Az-Zumar(39:13)
Sahih al-Bukhari
The Two Festivals (Eids)
Chapter: The preaching to the woman by the Imam on Eid day
Narrated Ibn Juraij:
`Ata' told me that he had heard Jabir bin `Abdullah saying, "The Prophet (ﷺ) stood up to offer the prayer of the `Id ul Fitr. He first offered the prayer and then delivered the Khutba. After finishing it he got down (from the pulpit) and went towards the women and advised them while he was leaning on Bilal's hand. Bilal was spreading out his garment where the women were putting their alms." I asked `Ata' whether it was the Zakat of `Id ul Fitr. He said, "No, it was just alms given at that time. Some lady put her finger ring and the others would do the same." I said, (to `Ata'), "Do you think that it is incumbent upon the Imam to give advice to the women (on `Id day)?" He said, "No doubt, it is incumbent upon the Imams to do so and why should they not do so?"
Sahih al-Bukhari 978