Electron. J. Differential Equations, Vol. 2025 (2025), No. 65, pp. 1-20.

Three-point integral boundary-value problems for piecewise fractional impulsive differential equations with p-Laplacian operator

Xiao Chen, Wenxue Zhou

Abstract:
We study the existence and uniqueness of solutions for three-point integral boundary-value problems of piecewise fractional impulsive differential equations with \(p\)-Laplacian operator and delay. We prove the existence of solutions, by using the \(\psi\)-Hadamard fractional definition, the Leray-Schauder nonlinear alternative, and the Krasnosel'skiis fixed point theorem. Subsequently, we prove uniqueness of the solution using the Banach fixed point theorem. To verify the feasibility of the main results, we give two examples.

Submitted February 24, 2025. Published June 30, 2025.
Math Subject Classifications: 34B15, 34B30, 34B37, 45J05.
Key Words: psi-Hadamard fractional derivative; p-Laplacian operator; impulsive; delay.
DOI: 10.58997/ejde.2025.65

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Xiao Chen
School of Mathematics and Physics
Lanzhou Jiaotong University
Lanzhou, Gansu 730070, China
email: chxiao1005@126.com
Wenxue Zhou
School of Mathematics and Physics
Lanzhou Jiaotong University
Lanzhou, Gansu 730070, China
email: wxzhou2006@126.com

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