EXISTENCE OF POSITIVE SOLUTIONS FOR MULTI-TERM NON-AUTONOMOUS FRACTIONAL DIFFERENTIAL EQUATIONS WITH POLYNOMIAL COEFFICIENTS

被引：0

作者：

Babakhani, Azizollah ^{[1
]}

Daftardar-Gejji, Varsha ^{[2
]}

机构：

[1] Univ Mazanderan, Dept Math, Babol Sar, Iran

[2] Univ Pune, Dept Math, Pune 411007, Maharashtra, India

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年

关键词：

Riemann-Liouville fractional derivatives and integrals; normal cone; semi-ordered Banach space; completely continuous operator; equicontinuous set;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper we discuss the existence of positive solutions in the case of multi-term non-autonomous fractional differential equations with polynomial coefficients; the constant coefficient case has been studied in [2]. We consider the equation (D-alpha n - Sigma(n-1)(j=1) p(j) (x) D alpha n-j) y = f(x,y). We state various conditions on f and p(j)'s under which this equation has: positive solutions, a unique solution which is positive, and a unique solution which may not be positive.

引用

页数：12

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