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.
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页数：18
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