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

نویسندگان

1 Department of Mathematics, MVGR College of Engineering(Autonomous), Vizianagaram, 535005, India.

2 Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India.

3 Department of Mathematics, Chegg India Pvt. Ltd., Visakhapatnam, 530002, Andhra Pradesh, India.

doi
10.22034/cmde.2024.57505.2407
چکیده

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.