$H^1$-analysis of H3N3-2\textbf{${}_{\sigma }$}-based difference method for fractional hyperbolic equations

Rui-lian Du, Changpin Li, Zhi-zhong Sun

A novel H3N3-2${}_{\sigma }$ interpolation approximation for the Caputo fractional derivative of order $\alpha \in (1,2)$ is derived in this paper, which improves the popular L2C formula with (3-$α…