Positive and Nondecreasing Solutions to an m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation
نویسندگان
چکیده
and Applied Analysis 3 For existence theorems for fractional differential equations and applications, we refer to the survey 14 . Concerning the definitions and basic properties, we refer the reader to 15 . 2. Preliminaries and Previous Results For the convenience of the reader, we present here some definitions, lemmas, and results that will be used in the proofs of our main results. Definition 2.1. 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, 2.1 provided that the right-hand side is pointwise defined on 0,∞ and where Γ α denotes the Euler gamma function given by
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