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Static‐kinematic fractional operators for fractal and non‐local solids

Two fractional calculus approaches in the framework of continuum mechanics are revisited and compared. The former is a local approach, which has been proposed to investigate the behaviour of fractal media. The latter is a non‐local approach, according to which long‐range interactions between material particles are opportunely modelled in the equilibrium equations. Analogies and differences between the two models are outlined.