Following sexual intercourse with my wife I continue to have discharge for many hours post Ghusl. A few hours later at Fajr time I may have to do Wudu, and wash my clothes 3-6 times after great effort in removing the discharge. For work in the morning it continues. And it continues during Dhuhr time although reduced. And sometimes even until Asr. I miss Fajr congregation prayer due to this. Please help me.
Wa Alaikum Salaam
This appears to be a medical issue, regarding which we recommend you seek medical guidance.
The discharge mentioned in your case will break the Wudu, but will not cause Ghusl to be obligatory. The discharge is impure, and if it falls on your clothing it must be washed.
We suggest that you place some tissue paper in your underwear, so that the discharge falls on the tissue paper. At the time of Salaah you can simply dispose of the tissue paper and replace it with clean ones. In this way your clothing will not be soiled, hence there will be no need to wash your clothing again. In such circumstances it is also permissible to use items specifically designed for this purpose, such as sanitary pads and panty liners.
Since your missing of Fajr Salaah with congregation is due to a medical condition, you will not be sinful.
And Allah Ta'ala knows best.