#### Abdelhamid Benmezai, Souad Chentout, Johnny Henderson, Strongly positive-like operators and eigenvalue criteria for existence and nonexistence of positive solutions for $\alpha$-order fractional boundary value problems, Vol. 2019 (2019), Article ID 24, pp. 1-14

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DOI: 10.23952/jnfa.2019.24

Received January 4, 2019; Accepted June 11, 2019; Published June 21, 2019

Abstract. In this paper, we investigate existence and nonexistence of positive solutions for the $\alpha$-order, where $2<\alpha\leq 3$, nonlinear fractional boundary value problem

$D^{\alpha }u(t)+f(t,u(t))=0,$ $0

$u(0)=u^{\prime }(0)=u^{\prime }(1)=0.$

Abdelhamid Benmezai, Souad Chentout, Johnny Henderson, Strongly positive-like operators and eigenvalue criteria for existence and nonexistence of positive solutions for $\alpha$-order fractional boundary value problems, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 24, pp. 1-14.