The Little Mix star thanked her family, friends and fans for helping her through “a hard time”.
While not referring directly to having broken up with Malik, Edwards posted two tweets online to tell of her heartbreak.
She wrote: “Just Want To Thank All My Family, Friends And Fans For Helping Me Get Through This Hard Time! Because Of You All Im Still Smiling.
“Im Trying To Stay Strong, But It’s Natural To Feel HeartBroken So If I Come Across Quiet When Meeting Fans, Im Sorry! I Do Love You All Lots.”
The pop star duo, both 22, got engaged in 2013 but had never publicly announced a wedding date.
Edwards was not wearing her diamond ring in a bikini snap shared on Instagram by her band mate Jesy Nelson on Monday.
The pair’s love was tested when Malik was pictured with blonde Lauren Richardson, 26, shortly before he quit One Direction.
Photographs emerged in March of community sports officer Ms Richardson holding hands with the singer in Thailand, and he left the band later that month.
At the time, Malik tweeted: ”I’m 22 years old, I love a girl named Perrie Edwards. And there’s a lot of jealous f***s in this world, I’m sorry for what it looks like.”
Little Mix are currently promoting their new single, Black Magic, in Los Angeles.
In her first interview since the news broke, Edwards told an E! presenter who asked how she was feeling: “I’m good, thank you.” One of her bandmates then interrupted, saying: “We don’t really want to talk about it.”