Nonhomogeneous Generalized Multi-Term Fractional Heat Propagation and Fractional Diffusion-Convection Equation in Three-Dimensional Space

Year 2014, Volume: 2 Issue: 2, 106 - 116, 01.08.2014

Arman Aghili Mohamed Rasool Masomi

Abstract

The main purpose of this article is to study non-homogeneous generalized multi-term fractional heat propagation and fractional diffusion-convection equation in three-dimensional space, where the fractional derivative is defined in the Caputo sense. The convection-diffusion equation describes physical phenomena where particles, energy, or other physical quantities are transferred inside a physical system due to two processes: diffusion and convection

Keywords

Fractional partial differential equations, Fractional heat propagation, Fractional Diffusion-Convection Equation, Laplace transform, Fourier transform, Fox-Wright functions, Kelvin functions

Nonhomogeneous generalized multi-term fractional heat propagation and fractional diffusion-convection equation in three- dimensional space

Abstract

References

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