Positive Solutions to Boundary Value Problems of Nonlinear Fractional Differential Equations
نویسندگان
چکیده
and Applied Analysis 3 where n α 1, α denotes the integer part of number α, provided that the right side is pointwise defined on 0, ∞ . Definition 2.2 see 20 . The Riemann-Liouville fractional integral of order α > 0 of a function f : 0, ∞ → R is given by I 0 f t 1 Γ α ∫ t 0 t − s α−1f s ds, 2.2 provided that the right side is pointwise defined on 0, ∞ . From the definition of the Riemann-Liouville derivative, we can obtain the following statement. Lemma 2.3 see 20 . Let α > 0. If we assume u ∈ C 0, 1 ∩ L 0, 1 , then the fractional differential equation
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