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We discuss the existence and uniqueness of positive solutions for the following fractional switched system: ( 0+ ( )+ ( ) ( , ( ))+ ( ) ( , ( )) = 0, ∈ = [0, 1]); ( (0) = (0) = 0, (1) = ∫ 1 0 ( ) ), where 0+ is the Caputo fractional derivative with 2 < ≤ 3, ( ) : → {1, 2, . . . , } is a piecewise constant function depending on , and R + = [0, +∞), , ∈ [ × R + , R + ], = 1, 2, . . . , . Our results are based on a fixed point theorem of a sum operator and contraction mapping principle. Furthermore, two examples are also given to illustrate the results. 1 0 ( ) ,

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