EIGENVALUE INTERVALS OF PARAMETERS FOR ITERATIVE SYSTEMS OF NONLINEAR HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEMS

Muralee Bala Krushna, Boddu; Mahammad, Khuddush; Rajendra Prasad, Kapula

doi:10.22034/cmde.2024.57505.2407

EIGENVALUE INTERVALS OF PARAMETERS FOR ITERATIVE SYSTEMS OF NONLINEAR HADAMARD FRACTIONAL BOUNDARY VALUE PROBLEMS

Document Type : Research Paper

Authors

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

² Department of Mathematics, Chegg India Pvt. Ltd., Visakhapatnam, 530002, Andhra Pradesh, India.

³ Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India.

10.22034/cmde.2024.57505.2407

Abstract

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