Positive Solutions for a Fractional Boundary Value Problem with Changing Sign Nonlinearity

Abstract

We discuss the existence of positive solutions to the following fractional m ‐point boundary value problem with changing sign nonlinearity , where λ is a positive parameter, 1 < α ≤ 2, 0 < β < α − 1, 0 < ξ 1 < ⋯< ξ m −2 < 1 with , is the standard Riemann‐Liouville derivative, f and may be singular at t = 0 and/or t = 1 and also may change sign. The work improves and generalizes some previous results.