There is lots of evidence for lots of different diets being healthy, people have different dietary needs. However those things are pretty universally good ideas. Obligatory quick google links:

Fasting: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4257368/ https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4274578/

Low Carb: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3595318/ https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2989112/