Boddu Muralee Bala Krushna - Department of Mathematics, MVGR College of Engineering(Autonomous), Vizianagaram, ۵۳۵۰۰۵, India.
Khuddush Mahammad - Department of Mathematics, Chegg India Pvt. Ltd., Visakhapatnam, ۵۳۰۰۰۲, Andhra Pradesh, India.
Kapula Rajendra Prasad - Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, ۵۳۰۰۰۳, India.

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.

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