Model Of Oscillatory System Research Articles

Ordinary Differential Equation with Left and Right Fractional Derivatives and Modeling of Oscillatory Systems

We consider the principle of least action in the context of fractional calculus. Namely, we derive the fractional Euler–Lagrange equation and the general equation of motion with the composition of the left and right fractional derivatives defined on infinite intervals. In addition, we construct an explicit representation of solutions to a model fractional oscillator equation containing the left and right Gerasimov–Caputo fractional derivatives with origins at plus and minus infinity. We derive a representation for the composition of the left and right derivatives with origins at plus and minus infinity in terms of the Riesz potential, and introduce special functions with which we give solutions to the model fractional oscillator equation with a complex coefficient. This approach can be useful for describing dissipative dynamical systems with the property of heredity.

ИССЛЕДОВАНИЕ КОНСТРУКЦИЙ РУЛЕВЫХ УПРАВЛЕНИЙ И ПОДВЕСОК ЛЕСОВОЗНЫХ АВТОМОБИЛЕЙ КАК КОЛЕБАТЕЛЬНЫХ СИСТЕМ

In article features of designs of steering managements and suspension brackets of forest cars from the point of view of oscillatory systems are consid-ered. This analysis is necessary for development of the concept of mathematical model of oscillatory system.