Weak Solutions for Fractional Differential Equations via Henstock-Kurzweil-Pettis Integrals

被引：1

作者：

Gou, Haide ^{[1
]}

Li, Yongxiang ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2020年 / 21卷 / 02期

基金：

中国国家自然科学基金;

关键词：

weak solutions; Henstock-Kurzweil-Pettis integral; weak measure of noncompactness; boundary value problem; BOUNDARY-VALUE PROBLEM; BANACH-SPACES; EXISTENCE; THEOREMS;

D O I：

10.1515/ijnsns-2018-0174

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we used Henstock-Kurzweil-Pettis integral instead of classical integrals. Using fixed point theorem and weak measure of noncompactness, we study the existence of weak solutions of boundary value problem for fractional integro-differential equations in Banach spaces. Our results generalize some known results. Finally, an example is given to demonstrate the feasibility of our conclusions.

引用

页码：135 / 145

页数：11

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