A class of piecewise fractional functional differential equations with impulsive

被引：0

作者：

Jia, Mei ^{[1
]}

Li, Tingle ^{[1
]}

Liu, Xiping ^{[1
]}

机构：

[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 05期

基金：

中国国家自然科学基金;

关键词：

boundary value problems; fixed point theorems; impulses; piecewise fractional functional differential equations; positive solutions; the existence and uniqueness of solutions; ITERATIVE POSITIVE SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; INTEGRODIFFERENTIAL EQUATIONS; COUPLED SYSTEMS; EXISTENCE; SOLVABILITY; UNIQUENESS; HADAMARD;

D O I：

10.1515/ijnsns-2021-0306

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we study a class of piecewise fractional functional differential equations with impulsive and integral boundary conditions. By using Schauder fixed point theorem and contraction mapping principle, the results for existence and uniqueness of solutions for the piecewise fractional functional differential equations are established. And by using cone stretching and cone contraction fixed point theorems in norm form, the existence of positive solutions for the equations are also obtained. Finally, an example is given to illustrate the effectiveness of the conclusion.

引用

页码：1683 / 1704

页数：22

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