On fractional Langevin equation involving two fractional orders in different intervals

被引：35

作者：

Baghani, Hamid ^{[1
]}

Nieto, Juan J. ^{[2
]}

机构：

[1] Univ Sistan & Baluchestan, Fac Math Stat & Comp Sci, Dept Math, Zahedan, Iran

[2] Univ Santiago de Compostela, Inst Math, Dept Math Anal, Santiago De Compostela 15782, Spain

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2019年 / 24卷 / 06期

关键词：

Caputo fractional derivative; initial boundary conditions; existence and uniqueness; fractional Langevin equation; INITIAL-VALUE PROBLEMS; EXISTENCE; UNIQUENESS; MAPPINGS;

D O I：

10.15388/NA.2019.6.3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a nonlinear Langevin equation involving two fractional orders alpha is an element of (0; 1] and beta is an element of (1; 2] with initial conditions. By means of an interesting fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. Some illustrative numerical examples are also discussed.

引用

页码：884 / 897

页数：14

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