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JWoww is officially a single woman again ... her divorce from Roger Mathews is finally a done deal.

Jenni Farley and Roger's divorce became official Thursday ... according to Roger's attorney, Christopher Cavalli of Callagy Law.

The former couple got hitched back in October 2015 -- years after their dramatic relationship was heavily featured on MTV's hit show, "Jersey Shore" -- and they have 2 kids together, a 5-year-old daughter, Melani, and a 3-year-old boy, Greyson.

As we reported ... JWoww filed for divorce last September, right before they were set to celebrate their 3-year anniversary ... she cited irreconcilable differences, and said their marriage had been on the rocks for at least 6 months.

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The split quickly turned nasty ... JWoww got a temporary restraining order against Roger in December and cops hauled him out of their home. Roger claimed he did nothing wrong, and said JWoww was out of control.

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The drama didn't end there ... in January, JWoww accused Roger of being abusive towards her during their marriage and posted a disturbing security cam video ... allegedly showing him throwing her to the ground. Roger denied the abuse allegations.