Symmetry in Fractional Calculus, Fixed Point and Mathematical Control Theory

Dear Colleagues,

The investigation of systems with symmetry and control systems is a complicated and very important part of contemporary mathematical control theory and harmonic analysis, which has numerous applications and attracts the attention of a number of researchers around the world. In turn, the development of the theory of differential inclusions is associated with the fact that they provide a convenient and natural tool for describing control systems of various classes, systems with discontinuous characteristics, which are studied in various branches of the optimal control theory, mathematical physics, radio physics, acoustics, etc. However, solving these problems within the frameworks of existing theories is often a very difficult problem, since many of them find sufficiently adequate descriptions in terms of differential equations and inclusions with fractional derivatives. The theory of differential equations of fractional order originates from the ideas of Leibniz and Euler, but only by the end of the XX century did interest in this topic increase significantly. The subject of fractional calculus has gained considerable popularity and importance during the past three decades or so, mainly due to its demonstrated applications in numerous diverse and widespread fields of science and engineering.

The aim of this Special Issue is to show recent advances in the theory of systems with symmetry, control systems, fractional calculus and fixed point applications to scientific problems.

Dr. Garik Petrosyan
Prof. Alexander Zaslavski
Guest Editors

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