Hristov J.2024-07-102024-07-102024-07-102024-07-102013-01-010354-983610.2298/TSCI120826076HSCOPUS_ID:84886794987https://rlib.uctm.edu/handle/123456789/291Integral approach by using approximate profile is successfully applied to heat conduction equation with fading memory expressed by a Jeffrey's kernel. The solution is straightforward and the final form of the approximate temperature profile clearly delineates the ``viscous effects`` corresponding tothe classical Fourier law and the relaxation (fading memory). The optimal exponent of the approximatesolution is discussed in case of Dirichlet boundary condition.enA Note on the integral approach to non-linear heat conduction with jeffrey's fading memoryArticle