带有分数阶边界条件的离散分数阶边值问题

黄忠敏, 谢作诗, 侯成敏

doi:10.13371/j.cnki.chin.q.j.m.2014.04.009

数学季刊 >

2014 , Vol. 29 >Issue 4: 539 - 552

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.04.009

带有分数阶边界条件的离散分数阶边值问题

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1. Department of Mathematics, Yanbian University2. The School of Economics and International Trade, Zhejiang University of Finance and Economics

HOU Cheng-min(1963-), female, native of Yanji, Jilin, a professor of Yanbian University, M.S.D., engages in discrete dynamical system.

收稿日期: 2013-02-19

网络出版日期: 2020-11-26

基金资助

Supported by the National Natural Science Foundation of China(11161049)；

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On a Discrete Fractional Boundary Value Problem with Nonlocal Fractional Boundary Conditions

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1. Department of Mathematics, Yanbian University2. The School of Economics and International Trade, Zhejiang University of Finance and Economics

HOU Cheng-min(1963-), female, native of Yanji, Jilin, a professor of Yanbian University, M.S.D., engages in discrete dynamical system.

Received date: 2013-02-19

Online published: 2020-11-26

Supported by

Supported by the National Natural Science Foundation of China(11161049)；

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摘要

In this paper, we investigate the nonlinear fractional difference equation with nonlocal fractional boundary conditions. We derive the Green’s function for this problem and show that it satisfies certain properties. Some existence results are obtained by means of nonlinear alternative of Leray-Schauder type theorem and Krasnosel-skii’s fixed point theorem.

关键词： discrete fractional calculus; green's function; nonlocal fractional boundary conditions; existence of solution; fixed point

本文引用格式

黄忠敏, 谢作诗, 侯成敏 . 带有分数阶边界条件的离散分数阶边值问题[J]. 数学季刊, 2014 , 29(4) : 539 -552 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.04.009

Abstract

Key words： discrete fractional calculus; green's function; nonlocal fractional boundary conditions; existence of solution; fixed point

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