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Abstract
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In this work, we are concerned with the fractional differential equation
Dα
0+ u(t) + f(t, u(s)) = 0, 1 < α ≤ 2
where Dα
0+ is the standard Riemann-Liouville fractional derivative, subject to the
local boundary conditions
u(0) = 0, u(1) + Z η
0
u(t)dt = 0, 0 ≤ η < 1.
We try to obtain the existence of positive solutions by using some fixed point theorems
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