Existence of solutions of BVPs for impulsive fractional Langevin equations involving Caputo fractional derivatives

被引：6

作者：

Liu, Yuji ^{[1
]}

Agarwal, Ravi ^{[2
]}

机构：

[1] Guangdong Univ Finance & Econ Guangzhou, Dept Math, Guangzhou, Guangdong, Peoples R China

[2] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX USA

来源：

TURKISH JOURNAL OF MATHEMATICS | 2019年 / 43卷 / 05期

关键词：

Impulsive fractional Langevin equation; boundary value problem; integral equation; Caputo fractional derivative; SYSTEMS; ORDERS;

D O I：

10.3906/mat-1905-23

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The standard Caputo fractional derivative is generalized for the piecewise continuous functions. A more general boundary value problem for the impulsive Langevin fractional differential equation involving the Caputo fractional derivatives is studied. New existence results for solutions of concerned problems are established.

引用

页码：2451 / 2472

页数：22

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