Eigenvalue intervals of parameters for iterative systems of nonlinear Hadamard fractional boundary value problems

This study uses a classic fixed point theorem of cone type in a Banach space to identify the eigenvalue intervals of parameters for which an iterative system of a Hadamard fractional boundary value problem has at least one positive solution. To the best of our knowledge, no attempt has been made to obtain such results for Hadamard-type problems in the literature. We provided an example to illustrate the feasibility of our findings in order to show how effective they are.

Keywords:

Hadamard fractional derivative , Boundary value problem , Kernel , Fixed-point theorems , Positive solution