A Mult-order Non-fourier Fractional Differential Equation for Heat Transmission

Abstract

A multi-order fractional differential model was proposed with two fractional Cattaneo derivatives with respect to time and a Caputo symmetrized fractional temperature gradient with respect to space. A unique solution in the form of integral was developed for the proposed heat transfer model using contour integral methods. Numerical examples in graphical forms are provided using the solutions established. The effects of varying parameters of the model are studied from the numerical examples given.