Numerical-analytical method for solving a boundary-value problem for the modified equation of moisture transfer with time-fractional derivative

The paper is devoted to a new moisture transfer equation, which generalizes the Aller equation by means the new concept of the fractal rate of change of humidity. This clarifies the presence of water flows directed opposite to the humidity potential. We find a solution of the system of difference equations with constant coefficients obtained by applying the straight-line method to the Aller equation with the Riemann-Liouville time-fractional derivative and first-kind boundary conditions.