International Journal of Nonlinear Analysis and Applications

An application of mixed monotone operator on a fractional differntial equation on an unbounded domain

Document Type : Research Paper

Authors

School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran

Abstract

This paper provides sufficient conditions that guarantee the existence of positive solutions to a boundary value problem of a nonlinear fractional differential equation on the half line. Our analysis takes advantage of a theory on cones and mixed monotone operators combined with the diagonalization method. The paper also contains some examples that are numerically solved by the Adomian Decomposition Method.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 16, Issue 4
April 2025
Pages 361-372
  • Receive Date: 12 December 2023
  • Revise Date: 02 April 2024
  • Accept Date: 20 February 2024