Review of methods and approaches for mechanical problem solutions based on fractional calculus

This report looks at the published literary sources on methods and approaches, which are based on fractional calculus (that is, calculus of integrals and derivatives of any arbitrary real or complex order) to solve the continuous and discrete mechanics problems. The problems solutions and comparative analysis results of fractional and classical models are presented. The report's goal is to show an efficiency of using fractional calculus to describe the mechanical processes.