International Journal of Nonlinear Analysis and Applications

Twin positive solutions to the RL-type nonlinear FBVPs with $p$-Laplacian operator

Document Type : Research Paper

Authors

1 Department of Mathematics, MVGR College of Engineering, Vizianagaram, 535 005, India

2 Department of Applied Mathematics, Andhra University, Visakhapatnam, 530 003, India

Abstract

In this work, we establish the existence of at least two positive solutions for a coupled system of $p$-Laplacian fractional-order boundary value problems. Establishing the existence of positive solutions to the problem is challenging for a variety of reasons, the most important of which is a lack of compatibility with the kernel. To address these issues, we have included the necessary conditions for overcoming certain methodological hurdles on the kernel as well as adapting to the problem's nature of positivity. The method is based on the AH functional fixed point theorem.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 14, Issue 12
December 2023
Pages 263-274
  • Receive Date: 16 February 2022
  • Revise Date: 11 January 2023
  • Accept Date: 18 April 2023