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 | Zendy

Jordan Hristov | Zendy

Open Access

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

Author(s) -

Jordan Hristov

Publication year - 2016

Publication title -

thermal science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.339

H-Index - 43

eISSN - 2334-7163

pISSN - 0354-9836

DOI - 10.2298/tsci160229115h

Subject(s) - fractional calculus , kernel (algebra) , relaxation (psychology) , heat equation , heat kernel , derivative (finance) , space (punctuation) , mathematical analysis , thermal conduction , diffusion , mathematics , constitutive equation , physics , pure mathematics , quantum mechanics , thermodynamics , finite element method , computer science , psychology , social psychology , financial economics , economics , operating system

Starting 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 back ground of the newly defined Caputo-Fabrizio time fractional derivative and demonstrates how other constitutive equations could be modified with non-singular fading memories

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research