This is how it is done in most of the cases. For example you want to buy a house worth 100 dollars but you have 50. You go to the bank they buy the house for you and will have 50% share of the house. So now if you live in the house you are suppose to pay the rent to the bank because the house does not belong to you 100%. After some time you manage to pay back some loan so now your share is 60% and the share of the bank is 40% so you pay the rent according to the share and it goes on.
Experts are working on different solutions though.
Share is something and buying a house is something else. Some companies do purchase houses based on shares with individuals, once they sell the house the profit goes to them according to their share, this is called shared ownership. But mortgaging a house is different. You go and find a property in the market, lets say £90000, the bank gives you the money to buy it and you have to pay the money back on monthly basis plus the interest. If you lose your job or anyting else happens, the bank wont be responsible for it, they want their monthly money back from you. Now my question was about the islamic system which doesnt include interest or ربح , over the time the money which is given to you wont have the same value in the next few years, how can the lender make that lost money due to inflation back?