Existence of unique solution for Hilfer fractional differential equation with multi-point boundary value conditions



	Existence of unique solution for Hilfer fractional differential equation with multi-point boundary value conditions


	Fixed Point Theory, Volume 26, No. 2, 2025, 517-538, May 1st, 2025 DOI: 10.24193/fpt-ro.2025.2.11 Authors: Chunjing Guo, Weihua Jiang and Fanmeng Meng Abstract: In this paper, two fixed point theorems about decreasing operators are given, and the existence of the unique solution for the higher order Hilfer fractional differential equation with multi-point boundary conditions is studied by using them. In addition, an iterative sequence is established to approximate the unique solution. As an application, two concrete examples are given to illustrate our results. Key Words and Phrases: Hilfer fractional derivative, Green function, convex operator, fixed point theory. 2010 Mathematics Subject Classification: 34A08, 34B15, 47H10. Published on-line: May 1st, 2025. Fulltext pdf Back to volume's table of contents