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

[1]

Belarbi S, 2014, MATEMATIKA, V30, P123

[2]

Dahmani Z., 2014, THEORY APPL MATH COM, V4, P40

[3]

Dahmani Z., J INTERDISC IN PRESS

[4]

Dahmani Z, 2015, FACTA UNIV-SER MATH, V30, P281

[5]

Dai QY, 2009, ACTA MATH SCI, V29, P435

[6]

Dalmasso R., 2005, INT J MATH MATH SCI, V10, P1507, DOI DOI 10.1155/IJMMS.2005.1507

[7] Smoothness and stability of the solutions for nonlinear fractional differential equations [J].

Deng, Weihua .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1768-1777

[8]

Emden, 1907, GASKUGELN TEUBNER

[9]

Gaber M. M., 2012, AQUACULTURE RES DEV, V3, P2, DOI [10.4172/2155-9546.1000152, DOI 10.4172/2155-9546.1000152]

[10]

Houas M., 2013, INT J OPEN PROBLEMS, V6, P30

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