You can read this paper they suggested statistical and computational geometric approaches to remove Artefact from MRI http://www.irjes.com/Papers/vol2-issue3/D232430.pdf
Coding using Deep learning (python) https://github.com/mmuckley/dldegibbs
This would be a great question to post in our new free medical imaging question and answer forum ( www.imagingQA.com ), there are already a few fMRI questions on there. If useful, please feel free to open a new topic at the link below :