This term encompasses the other terms as well. Other terms also mean the same, but in a restricted sense. Each is specific to only one field. अधिशुल्क is a general term and can be applied to other fields as well.

royalty means fee of the state

The term 'royalty' has different meaning in different contexts. However, since you are referring to franchise royalty, it means the royalty being paid for making use of some services or things.

It is like a payment made to the owner for use of his/her land, a payment of money made by a producer to a dramatist, a payment made to an author, composer, etc for every copy sold. Hence, it would be better to use the Hindi term रायल्टी and not the transliterated term रॉयल्टी. However, if you have to use it with the adjective franchise, then you may transliterate the term as फ़्रैंचाइज़ रॉयल्टी or even could translate it as फ़्रैंचाइज़ रायल्टी.

Royalty definition, The franchisee is required to pay to the franchisor a percentage of the gross sales on monthly basis. This is referred to as Royalty.

Franchise royalty definition:

Franchise royalty is a sum paid to the franchisor. It typically is the percentage of sales (usually the gross) that the franchisees pay to the franchisor company on a regular basis. It pays for the ongoing rights to participate in the franchise and may cover specified advertising and other support activity by the franchisor.

Royalty income is usually the real profit center for a franchisor because of the leveraging ability. For example, imagine a franchise company owns 100 franchised outlets, and each outlet does $30,000 in monthly sales and pays a 5% royalty to the franchise company. That means $1,500 is paid by each franchisee, resulting in $150,000 paid to the franchisor each month (or 100 outlets x $1,500).

Royalty is the payment to the holder of a patent or copyright or resource for the right to use their property.

Example : he received royalties on his book.

I think स्वत्व शुल्क/ स्वामित्व शुल्क is better option.

We can also use "रायल्टी" but we should find out proper and logical hindi synonym. Transliteration is not the best option everywhere.

royalty is received by the holder of the property whether it is a thing or a service & is being used by someone else. In context to the Franchise Royalty, it is a fixed percentage or sum of the total income mutually decided by franchisee and the franchisor. Franchise royalty fees vary from one franchisor to the next. They can be very simple or somewhat complex