Recovering the historical distribution for nonlinear space-fractional diffusion equation with temporally dependent thermal conductivity in higher dimensional space

Hölder-Logarithmic type approximation for nonlinear backward parabolic equations connected with a pseudo-differential operator

“…The authors in [24] proposed a so-called logarithmic regularization method to solve this case when ρ ≡ 1 and G ≡ 0. The more general nonlinearity was considered in [9,10], where convergence rates in the n-dimensional case were obtained under a wavelet method and a modified Tikhonov regularization method, respectively. Now we turn out attention to the case A x,1 = x D α υ .…”