THE HIGHT ORDER LANE-EMDEN FRACTIONAL DIFFERENTIAL SYSTEM: EXISTENCE, UNIQUENESS AND ULAM TYPE STABILITIES

被引：0

作者：

Taieb, Amele ^{[1
]}

Dahmani, Zoubir ^{[1
]}

机构：

[1] UMAB, Fac SEI, LPAM, Mostaganem, Algeria

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2016年 / 40卷 / 02期

关键词：

Caputo derivative; fixed point; differential equation; existence; uniqueness; Ulam-Hyers stability; generalized Ulam-Hyers stability;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by considering a more general Lane-Emden system of high order fractional differential equations with two arbitrary orders in each equation, we obtain some results on the existence and uniqueness of solutions using some fixed point theorems. Furthermore, we define and study some types of Ulam stability. Some examples are presented to illustrate the main results.

引用

页码：238 / 259

页数：22

共 36 条

[31]

Taeb, 2015, PALM LETT, V5, P29

[32]

Taieb A., GEORGIAN MA IN PRESS

[33]

WANG JR, 2011, ELECTRON J QUAL THEO, P1

[34] The Numerical Method for Solving Differential Equations of Lane-Emden Type by Pade Approximation [J].

Yigider, Muhammed ;

Tabatabaei, Khatereh ;

Celik, Ercan .

DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2011, 2011

[35] Solutions of singular IVPs of Lane-Emden type by the variational iteration method [J].

Yildirim, Ahmet ;

Oezis, Turgut .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (06) :2480-2484

[36] A priori estimates for a semilinear elliptic system without variational structure and their applications [J].

Zou, HH .

MATHEMATISCHE ANNALEN, 2002, 323 (04) :713-735

← 1 2 3 4 →