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One of the most characteristic features of the processes in the area of mining and processing of earth resources is their comple xity. The modern methods of investigation, monitoring and control of these processes utilize approaches ba sed upon modeling of the processes. In this paper we will focu s only on the dynamical processes, where the mathematical models are diffe rential equations. As it results from the last research works, majority of the real objects in ge neral are fractional-order systems. Fractional-...