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.

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

Main Subjects

References

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Computational Methods for Differential Equations
Volume 12, Issue 4
October 2024
Pages 791-807

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History

  • Receive Date: 12 July 2023
  • Revise Date: 27 January 2024
  • Accept Date: 09 February 2024

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