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