Inverse problem for McKendrick von Foerster equation with caputo operator

Fractional integro-differentiation operators are widely used in the study of applied problems that study mathematical models of physical and geophysical processes in fractal media. The fractional order derivative is not local, which exhibits behavior with long-term memory. Due to this, the models of dynamical systems of fractional order are more accurate than integer ones. In this paper, we consider an inverse problem for a generalized mathematical model of a biological process that characterizes the dynamics of a population with an age structure. The generalization is defined by introducing a derivative of a fractional order in the sense of Caputo into the equation.