Wa alaykum assalamu warahmatullah
In the Name of Allah, the All-Merciful, the Mercy-Giving
All praise is due to Allah, peace and blessings be upon His Messenger Muhammad.
May Allah grant you quick recovery and help you overcome your illness.
The Islamic Shari`ah is intrinsically easy and never lays burdens on people. Thus, in cases of hardship and suffering always arises Shari`ah concessions and licenses.
As you are sure that this bleeding has nothing to do with menstruation and is due to the disease you have, then you have to continue performing salah (Prayer) and observe obligatory sawm (fasting).
According to a good number of scholars, you should wait until the time of every salah begins and then remove the blood from your body and clothes. You should also use something like a diaper or a pad in order to contain the bleeding.
Any blood discharged thereafter will be pardonable. Then you start to make ablution and perform the salah. If it is hard to do these steps five times for each salah, you may delay Zhuhr Prayer to perform it just before the call to `Asr Prayer and then perform `Asr Prayer at the beginning of it time.
The same may be done with Maghrib and `Isha Prayers. You may also, according to Hanbalites, combine Zhuhr and `Asr together at the time of any of them and Maghrib and `Isha together at the time of any of them. The last two scenarios will reduce the number to 3 times only.
Almighty Allah knows best.
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