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

HAN Ren-ji, ZHOU Xian-feng, LI Xiang, JIANG Wei

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

Chinese Quarterly Journal of Mathematics >

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

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

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

Expand

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.

Received date: 2013-09-08

Online published: 2020-11-30

Supported by

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)；

Fold

Abstract

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.

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

Cite this article

HAN Ren-ji, ZHOU Xian-feng, LI Xiang, JIANG Wei . The Solution to Impulse Boundary Value Problem for a Class of Nonlinear Fractional Functional Differential Equations[J]. Chinese Quarterly Journal of Mathematics, 2014 , 29(3) : 400 -411 . DOI: 10.13371/j.cnki.chin.q.j.m.2014.03.010

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article