In this paper the chaos persistence in a class of discontinuous dynamicalsystems of fractional-order is analyzed. To that end, the Initial Value Problemis first transformed, by using the Filippov regularization [1], into aset-valued problem of fractional-order, then by Cellina's approximate selectiontheorem [2, 3], the problem is approximated into a single-valuedfractional-order problem, which is numerically solved by using a numericalscheme proposed by Diethelm, Ford and Freed [4]. Two typical examples ofsystems belonging to this class are analyzed and simulated.
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