New problem of Lane Emden type via fractional calculus

被引：0

作者：

Ndiaye, Ameth ^{[1
]}

Gouari, Yazid ^{[2
]}

Dahmani, Zoubir ^{[2
]}

机构：

[1] Univ Cheikh Anta Diop, Fac Sci & Technol Educ & Format, Dept Mathemat, Dakar, Senegal

[2] Univ Mostaganem, Fac Exacte Scienes & Informat, Lab Pure & Appl Math, Mostaganem 27000, Algeria

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2023年 / 26卷 / 02期

关键词：

Caputo derivative; Lane Emden equation; Existence of solution; Fixed point; Singular differential equation; POSITIVE SOLUTIONS; INEQUALITIES;

D O I：

10.47974/JIM-1231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonlinear singular differential equation of Lane Emden type. The problem used the Caputo derivatives and Riemann-Liouville integrals. We first prove an existence and uniqueness result. Another main result is established. At the end, the discussion of two examples to show the applicability of the main results is given. This paper has some relationship with some other papers that have already been published by the same authors.

引用

页码：145 / 161

页数：17

共 18 条

[1] Positive solutions for mixed problems of singular fractional differential equations [J].