Steady-state heat conduction in a medium with spatial non-singular fading memory derivation of Caputo-Fabrizio space-fractional derivative from cattaneo concept with jeffrey's kernel and analytical solutions

Hristov J.2024-07-102024-07-102024-07-102024-07-102017-01-010354-983610.2298/TSCI160229115HSCOPUS_ID:85019751305https://rlib.uctm.edu/handle/123456789/431Starting from the Cattaneo constitutive relation with a Jeffrey's kernel the derivation of a transient heat diffusion equation with relaxation term expressed through the Caputo-Fabrizio time fractional derivative has been developed. This approach allows seeing the physical background of the newly defined Caputo-Fabrizio time fractional derivative and demonstrates how other constitutive equations could be modified with non-singular fading memories.enSteady-state heat conduction in a medium with spatial non-singular fading memory derivation of Caputo-Fabrizio space-fractional derivative from cattaneo concept with jeffrey's kernel and analytical solutionsArticle