Murfing is a slang term for the act of browsing the Internet on a mobile device such as a cellphone, smartphone, personal digital assistant (PDA) or tablet phone.
Murfing is a play on the term surfing, and combines the term mobile surfing. Murfing differs from surfing in that it is typically limited to websites or applications designed for mobile architecture.
Techopedia explains Murfing
Mobile Web browsers are built to operate on low memory and to support the browsing of specialized websites that are developed for mobile platforms. Murfing has become more common as a result of increased access to wireless Internet access and the expansion of computing power in mobile devices.
The term is isn't used frequently. Some companies tried to start using this, but it never really caught on.