Fractional Singular Differential Systems of Lane-Emden Type: Existence and Uniqueness of Solutions

被引：7

作者：

Gouari, Yazid ^{[1
]}

Dahmani, Zoubir ^{[2
]}

Farooq, Shan E. ^{[3
]}

Ahmad, Farooq ^{[4
,5
]}

机构：

[1] UMAB Univ Mostaganem, Fac SEI, Lab Pure & Appl Maths, Mostaganem 27000, Algeria

[2] Univ Mostaganem, UMAB, LPAM, Mostaganem 27000, Algeria

[3] Govt Coll Univ, Math Dept, Lahore 54000, Pakistan

[4] Univ Hail, Math Dept, Hail 55211, Saudi Arabia

[5] NANYANG Technol Univ, Sch Mech & Aerosp Engn, Singapore 637551, Singapore

来源：

AXIOMS | 2020年 / 9卷 / 03期

关键词：

Caputo derivative; lane emden system; existence of solution; singular differential equation; POSITIVE SOLUTIONS;

D O I：

10.3390/axioms9030095

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A coupled system of singular fractional differential equations involving Riemann-Liouville integral and Caputo derivative is considered in this paper. The question of existence and uniqueness of solutions is studied using Banach contraction principle. Furthermore, the question of existence of at least one solution is discussed. At the end, an illustrative example is given in details.

引用

页数：18

共 50 条

[31] The group classification of Lane-Emden systems [J].

Bozhkov, Yuri .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 426 (01) :89-104

[32] New problem of Lane Emden type via fractional calculus [J].

Ndiaye, Ameth ;

Gouari, Yazid ;

Dahmani, Zoubir .

JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2023, 26 (02) :145-161

[33] Symmetry of Positive Solutions for Lane-Emden Systems Involving the Logarithmic Laplacian [J].

Zhang, Rong ;

Kumar, Vishvesh ;

Ruzhansky, Michael .

ACTA APPLICANDAE MATHEMATICAE, 2023, 188 (01)

[34] Symmetry of Positive Solutions for Lane-Emden Systems Involving the Logarithmic Laplacian [J].

Rong Zhang ;

Vishvesh Kumar ;

Michael Ruzhansky .

Acta Applicandae Mathematicae, 2023, 188

[35] Narrow region principle and Liouville type results for fractional Lane-Emden system [J].

Cai, Miaomiao ;

Mei, Linfeng .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2017, 62 (07) :1002-1014

[36] Existence of Solutions on the Critical Hyperbola for a Pure Lane-Emden System with Neumann Boundary Conditions [J].

Pistoia, Angela ;

Schiera, Delia ;

Tavares, Hugo .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (01) :745-803

[37] New solutions for the Lane-Emden problem in planar domains [J].

Battaglia, Luca ;

Ianni, Isabella ;

Pistoia, Angela .

JOURNAL OF FUNCTIONAL ANALYSIS, 2025, 289 (07)

[38] LIOUVILLE THEOREMS FOR INTEGRAL SYSTEMS RELATED TO FRACTIONAL LANE-EMDEN SYSTEMS IN R+N [J].

Luo, Senping ;

Zou, Wenming .

DIFFERENTIAL AND INTEGRAL EQUATIONS, 2016, 29 (11-12) :1107-1138

[39] NONEXISTENCE OF STABLE SOLUTIONS OF THE WEIGHTED LANE-EMDEN SYSTEM [J].

Chen, Huantong ;

Tao, Bo ;

Ye, Danting .

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2022, 12 (06) :2133-2142

[40] Fast decay estimates for integrable solutions of the Lane-Emden type integral systems involving the Wolff potentials [J].

Sun, Sha ;

Lei, Yutian .

JOURNAL OF FUNCTIONAL ANALYSIS, 2012, 263 (12) :3857-3882

← 1 2 3 4 5 →