On a stochastic nonclassical diffusion equation with standard and fractional Brownian motion

This paper is concerned with the mathematical analysis of terminal value problems (TVP) for a stochastic nonclassical diffusion equation, where source assumed to be driven by classical and fractional Brownian motions (fBms). Our two are study in sense well-posedness ill-posedness meanings. Here, TVP problem determining statistical properties initial data from final time data. In case [Formula: see text], text] order Laplace operator, we show that these well-posed under certain assumptions. We state definition obtain results when text]. The major tools this based on integrals respect fBm.