On positive solutions of a nonlocal fractional boundary value problem

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On the existence of blow up solutions for a class of fractional differential equations (2014, background): “We noted that there were many works in respect of the existence of solutions for this fractional differential equations IVP, which were shown in [1, 2, 3, 4, 6, 7, 10, 11, 12, 13, 14] and the references therein.”
Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions (2011, unknown): “For some recent development on the topic, (see [3-19] and references therein).”
Existence of solutions for nonlinear fractional three-point boundary value problems at resonance (2011, background): “In [7], Bai investigated the nonlinear nonlocal problem D 0+u(t) = f (t, u(t)), 0 < t < 1, u(0) = 0, βu(η)= u(1), where 1 < α ≤ 2, 0 < βηα−1 < 1.”
Existence for fractional Dirichlet boundary value problem under barrier strip conditions (2017, unknown): “5, then, f(t, x,p) > 0 for (t, x,p) ∈ [0, 1]× [−1, 1]× ([4, 5]∪ [−2,−1]), f(t, x,p) 6 0 for (t, x,p) ∈ [0, 1]× [−1, 1]× ([1, 2]∪ [0, 0.”
Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions (2017, background): “([2]) Assume that u ∈ C(0, 1)∩L(0, 1) with its fractional derivative of order α > 0 that belongs to C(0, 1) ∩ L(0, 1).”