Existence Results for a New Class of Nonlinear Langevin Equations of Fractional Orders

被引：4

作者：

Khalili, Yasser ^{[1
]}

Yadollahzadeh, Milad ^{[2
]}

机构：

[1] Sari Agr Sci & Nat Resources Univ, Dept Basic Sci, Sari 578, Iran

[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar 4741695447, Iran

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2019年 / 43卷 / A5期

关键词：

Fractional Langevin equation; Boundary value problem; Existence solution; Fixed point theorems; STABILITY;

D O I：

10.1007/s40995-019-00692-7

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we propose a new nonlinear Langevin equation of fractional orders with nonlocal boundary value conditions which is a generalization of previous Langevin equations. By applying some fixed point theorems such as Schauder and contraction mapping principle, the existence and uniqueness of solutions are studied. An example to illustrate our results is given.

引用

页码：2335 / 2342

页数：8

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