... r2uE3.42Hindawi Publishing CorporationBoundary Value ProblemsVolume 2011, Article ID 475126, 17 pagesdoi:10.1155/2011/475126 Research Article Existence of Positive Solutions to a Boundary ... chemistry,and engineering 1, 2. For the basic theory of fractional differential equations, we refer thereaders to 3–7.Recently, many researchers have devoted their attention to studying the existence ... 3.21Because of the continuity of G and f, it follows easily from Lemma 3.2 that T maps Ω intoitself. To finish the proof, we only need to show that T is a contraction. Indeed, for u, v ∈ Ω,by...