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

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.