TY - JOUR ID - 6077 TI - Existence of triple positive solutions for boundary value problem of nonlinear fractional differential equations JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Shah, Kamal AU - Zeb, Salman AU - Khan, Rahmat Ali AD - Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan Y1 - 2017 PY - 2017 VL - 5 IS - 2 SP - 158 EP - 169 KW - Fractional differential equations KW - Boundary value problems KW - Positive solutions KW - Green’s function KW - fixed point theorem DO - N2 - This article is devoted to the study of existence and multiplicity of positive solutions to a class of nonlinear fractional order multi-point boundary value problems of the type−Dq0+u(t) = f(t, u(t)), 1 < q ≤ 2, 0 < t < 1,u(0) = 0, u(1) =m−2∑ i=1δiu(ηi),where Dq0+ represents standard Riemann-Liouville fractional derivative, δi, ηi ∈ (0, 1) withm−2∑i=1δiηi q−1 < 1, and f : [0, 1] × [0, ∞) → [0, ∞) is a continuous function. We use some classical results of fixed point theory to obtain sufficient conditions for the existence and multiplicity results of positive solutions to the problem under consideration. In order to show the applicability of our results, we provide some examples. UR - https://cmde.tabrizu.ac.ir/article_6077.html L1 - https://cmde.tabrizu.ac.ir/article_6077_786926df406ec4f5042d803915a6e8dd.pdf ER -