Fine lines and wrinkles around the eyes can be referred to as crow’s feet and the best solution for controlling them is Botox injections every 3 to 4 months. I would not use voluma as it is too thick of a solution and will not look natural.
For under-eye wrinkles, I would recommend improving those with laser therapy or fillers such as Belotero, Restylane, or Volbella.
Sometimes, surgery is required for under the eyes. Be sure to consult with a board-certified dermatologist who will customize a treatment plan specific to you!