On a nonlinear fractional boundary value problem including a Hadamard fractional derivative with \(p\)-Laplacian (Q6607679)

In this paper, a nonlinear fractional boundary value problem is examined, involving Hadamard fractional derivative operator with a \(p\)-Laplacian, complemented with local and integral boundary conditions. The nonlinear function and the boundary conditions also depend on the Hadamard fractional derivative operators. With the help of a fixed-point theorem and the properties of Green's functions, the existence of multiple positive solutions is investigated. An example is also presented to illustrate the obtained results.