INTEGRAL EQUATIONS OF FRACTIONAL ORDER IN LEBESGUE SPACES

被引：1

作者：

Kosmatov, Nickolai ^{[1
]}

机构：

[1] Univ Arkansas, 2801 S Univ Ave, Little Rock, AR 72204 USA

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2016年 / 19卷 / 03期

关键词：

Caratheodory conditions; Leray-Schauder Nonlinear Alternative; Riemann-Liouville derivative; Volterra integral equation; BOUNDS;

D O I：

10.1515/fca-2016-0035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss solvability of a nonlinear Riemann-Liouville integral equation in Lebesgue spaces. We treat the Volterra equations of the first and the second types by applying boundedness criteria for the Riemann-Liouville integral operator. The existence of a solution to integral equations will follow from the Leray-Schauder Nonlinear Alternative.

引用

页码：665 / 675

页数：11

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