Existence of positive solutions in the space of Lipschitz functions to a class of fractional differential equations of arbitrary order

被引：0

作者：

B. López

J. Harjani

K. Sadarangani

机构：

[1] Universidad de Las Palmas de Gran Canaria,Departamento de Matemáticas

来源：

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2018年 / 112卷

关键词：

Fractional calculus; Boundary value problem; Hölder spaces; Schauder fixed point theorem; 47H10; 49L20;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study sufficient conditions for the existence of positive solutions to a class of fractional differential equations of arbitrary order. Our solutions are placed in the space of Lipschitz functions and, perhaps, this is a part of the originality of the paper. For our study, we use a recent result about the relative compactness in Hölder spaces and the classical Schauder fixed point theorem.

引用

页码：1281 / 1294

页数：13

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