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

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

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

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

Received:2013-09-08 Online:2014-09-30 Published:2020-11-30
About author: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.
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)；

Abstract

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

CLC Number:

O175.8

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.

[1]	WANG Xiao-ming. Periodic Solutions of Mixed Type p-Laplacian Equations with Deviating Arguments [J]. Chinese Quarterly Journal of Mathematics, 2012, 27(2): 177-182.
[2]	ZHOU Gui-fang, ZHANG Hai, JIANG Wei. Periodic Solutions of Singular Neutral Diﬀerential Systems with Inﬁnite Delay [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 56-60.
[3]	SUN Xing-wang , DAI Xin-li . The Existence of Multiple Solutions for Second Order Differential Equations with Infinite Delay [J]. Chinese Quarterly Journal of Mathematics, 2003, 18(4): 378-387.

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

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