Abstract

In this paper, we discuss the existence of positive solutions to the following fractional boundary value problem with changing sign nonlinearity. { D 0 + α u ( t ) + λ f ( t , u ( t ) ) = 0 , 0 < t < 1 , u ( 0 ) = u ′ ( 0 ) = u ( 1 ) = 0 , where 2 < α ≤ 3 is a real number, D 0 + α is the standard Riemann–Liouville derivative, λ is a positive parameter, f may change sign and may be singular at t = 0 , 1 .

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