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An equation describing subdiffusion with possible immobilization of particlesis derived by means of the continuous time random walk model. The equationcontains a fractional time derivative of Riemann--Liouville type which is adifferential-integral operator with the kernel defined by the Laplacetransform. We propose the method for calculating the inverse Laplace transformproviding the kernel in the time domain. In the long time limit thesubdiffusion--immobilization process reaches a stationary state in which theprobability density of a particle distribution is an exponential function.

Subdiffusion with particle immobilization process described by differential equation with Riemann--Liouville type fractional time derivative