Path independence of the additive functionals for stochastic Volterra equations with singular kernels

In this paper, we characterise path-independence of additive functionals for stochastic Volterra equations with singular kernels, extending the results of semimartingale type stochastic differential equations to more general type stochastic differential equations with singular kernels which includes stochastic differential equations driven by fractional Brownian motions as a special case. This is done by linking the concerned stochastic Volterra equations to mild formulation of parabolic type stochastic partial differential equations and then utilising our previous result regarding path-independence for stochastic evolution equations in \cite{qw}.Comment: 9 page