The effect of non-local derivative on Bose-Einstein condensation

In this paper, we study the effect of non-local derivative on Bose-Einstein condensation. Firstly, consider Caputo-Fabrizio fractional order α to derive eigenvalues Schrödinger equation for a free particle in 3D box. Afterwards, condensation an ideal gas with obtained energy spectrum. Interestingly, approach critical temperatures Tc 1 < 2 are greater than standard one. Furthermore, 2D is shown be possible. Second and comparison, presented, basis spectrum established by N. Laskin, transition temperature as function parameter system bosons governed Hamiltonian power law moment (H~pα). case, have demonstrated that By comparing two (relative Laskin), found fixed density ρ relative Caputo-fabrizio Laskin.