Transient heat diffusion with a non-singular fading memory: From the cattaneo constitutive equation with Jeffrey's kernel to the caputo-fabrizio time-fractional derivative

Hristov J.2024-07-102024-07-102024-07-102024-07-102016-01-010354-983610.2298/TSCI160112019HSCOPUS_ID:84971670337https://rlib.uctm.edu/handle/123456789/382Starting 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.enTransient heat diffusion with a non-singular fading memory: From the cattaneo constitutive equation with Jeffrey's kernel to the caputo-fabrizio time-fractional derivativeArticle