Higher Order and Fractional Diffusive Equations

Abstract

We discuss the solution of various generalized forms of the Heat Equation, by means of different tools ranging from the use of Hermite-Kampé de Fériet polynomials of higher and fractional order to operational techniques. We show that these methods are useful to obtain either numerical or analytical solutions.

Keywords

• Heat Equation
• Hermite Polynomials
• Orthogonal Polynomials. ________________