一类非线性分数阶泛函微分方程脉冲边值问题的解

韩仁基, 周先锋, 李翔, 蒋威

doi:10.13371/j.cnki.chin.q.j.m.2014.03.010

数学季刊 >

2014 , Vol. 29 >Issue 3: 400 - 411

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.03.010

一类非线性分数阶泛函微分方程脉冲边值问题的解

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1. Department of Basic Courses, Huishang Vocational College2. School of Mathematical Sciences, Anhui University

HAN Ren-ji(1981-), male, native of Xuancheng, Anhui, a lecturer of Huishang Vocational College, M.S.D., engages in functional differential equation and fractional differential equation boundary value problem.

收稿日期: 2013-09-08

网络出版日期: 2020-11-30

基金资助

Supported by the NNSF of China(11071001)； Supported by the NSF of the Anhui Higher Education Institutions of China(KJ2013B276)； Supporied by the Key Program of the Natural Science Foundation for the Excellent Youth Scholars of Anhui Higher Education Institutions of China(2013SQRL142ZD)；

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The Solution to Impulse Boundary Value Problem for a Class of Nonlinear Fractional Functional Differential Equations

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1. Department of Basic Courses, Huishang Vocational College2. School of Mathematical Sciences, Anhui University

Received date: 2013-09-08

Online published: 2020-11-30

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摘要

In this paper, we investigate the existence of solution for a class of impulse boundary value problem of nonlinear fractional functional differential equation of mixed type. We obtain the existence results of solution by applying some well-known fixed point theorems. An example is given to illustrate the effectiveness of our result.

关键词： Nonlinear fractional functional differential equation; mixed type; impulse boundary value problem; fixed point theorem

本文引用格式

韩仁基, 周先锋, 李翔, 蒋威 . 一类非线性分数阶泛函微分方程脉冲边值问题的解[J]. 数学季刊, 2014 , 29(3) : 400 -411 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.010

Abstract

Key words： Nonlinear fractional functional differential equation; mixed type; impulse boundary value problem; fixed point theorem

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