On a fractional problem of Lane-Emden type: Ulam type stabilities and numerical behaviors

被引：3

作者：

Tablennehas, Kamel ^{[1
]}

Dahmani, Zoubir ^{[1
]}

Belhamiti, Meriem Mansouria ^{[1
]}

Abdelnebi, Amira ^{[1
]}

Sarikaya, Mehmet Zeki ^{[2
]}

机构：

[1] Univ Mostaganem, Fac Exact Sci & Informat, Lab Pure & Appl Math, Mostaganem, Algeria

[2] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2021年 / 2021卷 / 01期

关键词：

Lane-Emden equation; Caputo derivative; Random differential equation; Ulam stability; Fourth Runge-Kutta method; POSITIVE SOLUTIONS; EXISTENCE; EQUATIONS;

D O I：

10.1186/s13662-021-03483-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study some types of Ulam stability for a nonlinear fractional differential equation of Lane-Emden type with anti periodic conditions. Then, by using a numerical approach for the Caputo derivative, we investigate behaviors of the considered problem.

引用

页数：19

共 28 条

[1] Positive solutions for mixed problems of singular fractional differential equations
Agarwal, Ravi P.
O'Regan, Donal
Stanek, Svatoslav
[J]. MATHEMATISCHE NACHRICHTEN, 2012, 285 (01) : 27 - 41
[2] Singular boundary value problems for superlinear second order ordinary and delay differential equations
Agarwal, RP
ORegan, D
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1996, 130 (02) : 333 - 355
[3] [Anonymous], 2012, Appl Math
[4] Existence and multiplicity of positive solutions for singular fractional boundary value problems
Bai, Zhanbing
Sun, Weichen
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (09) : 1369 - 1381
[5] Self-similar solutions of semilinear wave equations with a focusing nonlinearity
Bizon, Piotr
Maison, Dieter
Wasserman, Arthur
[J]. NONLINEARITY, 2007, 20 (09) : 2061 - 2074
[6] Chandrasekhar S., 1938, An Introduction to the Study of Stellar Structure
[7] Dahmani Z, 3 FRACTIONAL ORDER J
[8] Dahmani Z, 2016, FACTA UNIV-SER MATH, V31, P629
[9] Emden R, 1907, Gaskugeln
[10] Existence and stability of solutions of a class of hybrid fractional differential equations involving RL-operator
Ferraoun, Soumia
Dahmani, Zoubir
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2020, 23 (04) : 885 - 903

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