The optimal control problem for the fractional diffusion equation with a derivative in the minimization condition

Many processes and phenomena in fractal theory and continuum mechanics are described by fractional differential equations, since new fractional models are often more accurate than integer models, that is, these models have more degrees of freedom than the corresponding classical ones. The paper uses the property of the Stankovich transformation of power functions, with the help of which the problem for the fractional diffusion equation was reduced to a system of algebraic equations. It is proved that there is a solution to the problem.