Impulsive Fractional Differential Equations with p-Laplacian Operator in Banach Spaces

被引：2

作者：

Tan, Jingjing ^{[1
]}

Zhang, Kemei ^{[2
]}

Li, Meixia ^{[1
,3
]}

机构：

[1] Weifang Univ, Sch Math & Informat Sci, Weifang 261061, Shandong, Peoples R China

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[3] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2018年 / 2018卷

关键词：

BOUNDARY-VALUE PROBLEM; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS;

D O I：

10.1155/2018/2503915

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of boundary value problem(BVP) with multiple point boundary conditions of impulsive p-Laplacian operator fractional differential equations. We establish the sufficient conditions for the existence of solutions in Banach spaces. Our analysis relies on the Kuratowski noncompactness measure and the Sadovskii fixed point theorem. An example is given to demonstrate the main results.

引用

页数：11

共 50 条

[21] EIGENVALUE PROBLEMS FOR A CLASS OF NONLINEAR HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN OPERATOR
Yang, Wengui
MATHEMATICA SLOVACA, 2020, 70 (01) : 107 - 124
[22] Existence and Uniqueness of Solutions for Several BVPs of Fractional Differential Equations with p-Laplacian Operator
Tengfei Shen
Wenbin Liu
Xiaohui Shen
Mediterranean Journal of Mathematics, 2016, 13 : 4623 - 4637
[23] New Results for p-Laplacian Fractional Instantaneous and Noninstantaneous Impulsive Differential Equations
Yao, Wangjin
Zhang, Huiping
JOURNAL OF FUNCTION SPACES, 2024, 2024 (01)
[24] Solvability of fractional differential equations with p-Laplacian at resonance
Jiang, Weihua
APPLIED MATHEMATICS AND COMPUTATION, 2015, 260 : 48 - 56
[25] Positive Solutions of Fractional Differential Equations with p-Laplacian
Tian, Yuansheng
Sun, Sujing
Bai, Zhanbing
JOURNAL OF FUNCTION SPACES, 2017, 2017
[26] Positive Solutions of Fractional Differential Equation with p-Laplacian Operator
Ren, Teng
Chen, Xiaochun
ABSTRACT AND APPLIED ANALYSIS, 2013,
[27] Existence of Positive Solutions for an Impulsive Differential Equation with p-Laplacian Operator
Bouabdallah, Mohamed
Chakrone, Omar
Chehabi, Mohammed
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (04)
[28] ON SOME IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Wang, JinRong
Wei, W.
Yang, YanLong
OPUSCULA MATHEMATICA, 2010, 30 (04) : 507 - 525
[29] Positive solutions for eigenvalue problems of fractional differential equations with p-Laplacian
Lu, H.
Han, Z.
Sun, S.
Zhang, C.
SCIENTIA IRANICA, 2015, 22 (03) : 755 - 764
[30] Multiplicity for fractional differential equations with p-Laplacian
Yuansheng Tian
Yongfang Wei
Sujing Sun
Boundary Value Problems, 2018

← 1 2 3 4 5 →