Solvability for a Hadamard-type fractional integral boundary value problem

Abstract

In this paper, we study an integral boundary value problem involving a Hadamard-type fractional differential equation. Using fixed point theory and upper-lower solutions, we present some sufficient conditions to obtain existence theorems of positive solutions for the problem. Examples are provided to illustrate our results.

Positive solutions for a Hadamard-type fractional p-Laplacian integral boundary value problem

“…In this section, we give the definition of the Hadamard-type fractional derivative; for more details, we refer the reader to [29][30][31][32].…”

“…Note that the spectral theory of linear operators can be used to study differential equations, and in [29], the authors studied positive solutions to the Hadamard-type fractional integral boundary value problem…”