WEIGHTED BOUNDED SOLUTIONS FOR A CLASS OF NONLINEAR FRACTIONAL EQUATIONS

被引：14

作者：

Lizama, Carlos ^{[1
]}

Pilar Velasco, M. ^{[2
,3
]}

机构：

[1] Univ Santiago Chile, Fac Ciencias, Dept Matemat & Ciencia Computac, Las Sophoras 173, Santiago, Chile

[2] Univ Politecn Madrid, Escuela Tecn Super Ingn & Sistemas Telecomunicac, Dept Matemat Aplicadas Tecnol Informac & Comunica, Ctra Valencia,Km 7, Madrid 28030, Spain

[3] Inst Matematica Interdisciplinar, Madrid, Spain

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2016年 / 19卷 / 04期

关键词：

fractional differences; weighted sequence space; Banach space; alpha-resolvent sequences; compact operator; DIFFERENCE-EQUATIONS; STABILITY;

D O I：

10.1515/fca-2016-0055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let T be a bounded linear operator defined on a Banach space X. We investigate the existence of solutions for a class of nonlinear fractional equation in the form (*) {Delta(alpha)u(n) = Tu(n) + f(n, u)(n)), n epsilon N-0, 0 < alpha <= 1; u(0) = x, on the vector-valued weighted sequence space l(f)(infinity) (N, X) = { x : N -> X/ sub(n epsilon N) parallel to x(n)parallel to/nn! < infinity}. Our analysis relies on the fixed point theory and operator-theoretical methods.

引用

页码：1010 / 1030

页数：21

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