Lower and Upper Solutions for General Two-point Fractional Order Boundary Value Problems

Abstract

This paper establishes the existence of a positive solution of fractional order two-point boundary value problem, D1 a+ y(t) + f(t, y(t)) = 0, t ∈ [a, b], y(a) = 0, y(a) = 0, αD2 a+ y(b)− βD3 a+ y(a) = 0, where Di a+ , i = 1, 2, 3 are the standard Riemann-Liouville fractional order derivatives, 2 < q1 ≤ 3, 0 < q2, q3 < q1, α, β are positive real numbers and… (More)

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