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In this paper, we study the solutions for the fractional boundary value problem ( ) ( ) ( ( )) 0, (0,1), (0) 0, (1) 0, c t D u t g t f u t t u u α  + = ∈  = =  (1), where1 2 α < < is a real number. Define a new cone to solve the difficulty. And investigate solutions for the problem (1) with a sign-changing Green’s function. And will research the sign-changing solutions.

Solutions for fractional boundary value problem with sign-changing Green's function