Abstract
We discuss the existence of positive solutions for the singular fractional boundary value problem D α u + f ( t , u , u ′ , D μ u ) = 0 , u ( 0 ) = 0 , u ′ ( 0 ) = u ′ ( 1 ) = 0 , where 2 < α < 3 , 0 < μ < 1 . Here D α is the standard Riemann–Liouville fractional derivative of order α , f is a Carathéodory function and f ( t , x , y , z ) is singular at the value 0 of its arguments x , y , z .
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