Nonlocal boundary value problems for integro-differential Langevin equation via the generalized Caputo proportional fractional derivative

被引：9

作者：

Khaminsou, Bounmy ^{[2
]}

Thaiprayoon, Chatthai ^{[2
]}

Alzabut, Jehad ^{[3
]}

Sudsutad, Weerawat ^{[1
]}

机构：

[1] Navamindradhiraj Univ, Fac Sci & Hlth Technol, Dept Gen Educ, Bangkok 10300, Thailand

[2] Burapha Univ, Fac Sci, Dept Math, Chon Buri 22000, Thailand

[3] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia

来源：

BOUNDARY VALUE PROBLEMS | 2020年 / 2020卷 / 01期

关键词：

Fractional Langevin equation; Generalized proportional fractional derivative; Ulam stability; Existence and uniqueness; Nonlocal integral conditions; DIFFERENTIAL-EQUATIONS; ORDERS;

D O I：

10.1186/s13661-020-01473-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Results reported in this paper study the existence and stability of a class of implicit generalized proportional fractional integro-differential Langevin equations with nonlocal fractional integral conditions. The main theorems are proved with the help of Banach's, Krasnoselskii's, and Schaefer's fixed point theorems and Ulam's approach. Finally, an example is given to demonstrate the applicability of our theoretical findings.

引用

页数：30

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