Fingerprinting the Fractional Order Phase Transitions in AdS Black Holes

In this paper, we have extended and deepened the study on fractional order phase transition (FPT) of a charged AdS black hole. We carried out detailed analysis FPT for several hole prototypes: surrounded by quintessence background, 5D Gauss-Bonnet, D dimensional RN-AdS BH, lastly Kerr holes. shown that 4/3 at critical points holds first three holes systems, while holes, is rather 1/3. These results suggest two remarkable features: Firstly can be assumed asymptotically spherical solutions; secondly not universal affected geometric symmetry.