An Integro-Differential Equation of the Fractional Form: Cauchy Problem and Solution

Fernando Olivar-Romero, Oscar Rosas-Ortiz

We solve the Cauchy problem defined by the fractional partial differential equation $[{\partial }_{tt}-\kappa \mathbb{D}]u=0$, with $\mathbb{D}$ the pseudo-differential Riesz operator of fi…