Pointwise convergence along a tangential curve for the fractional Schrödinger equation

In this paper we study the pointwise convergence problem along a tangential curve for fractional Schrodinger equations in one spatial dimension and estimate capacitary of divergence set. We extend prior by Lee first author classical equation, which itself contains result due to Lee, Vargas author, equation. The proof is based on decomposition argument without time localization, has recently been introduced second author.