Covariance in Fractional Calculus
arXiv:2409.18150 · doi:10.1142/S0217751X25500472
Abstract
Based on the requirement of covariance, we propose a new approach for generalizing fractional calculus in multi-dimensional space. As a first application we calculate an approximation for the ground state energy of the fractional 2-dimensional harmonic oscillator using the Ritz variational principle.
18 pages, 3 figures