PIECEWISE CONTINUOUS SOLUTIONS OF INITIAL VALUE PROBLEMS OF SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS

doi:10.1016/S0252-9602(16)30085-6

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (5): 1492-1508.doi: 10.1016/S0252-9602(16)30085-6

PIECEWISE CONTINUOUS SOLUTIONS OF INITIAL VALUE PROBLEMS OF SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS

刘玉记

Department of Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China

收稿日期:2014-07-25 出版日期:2016-10-25 发布日期:2016-10-25
作者简介:Yuji LIU,yuji-liu@sohu.com
基金资助:
Supported by the Natural Science Foundation of Guangdong Province (S2011010001900) and the Guangdong Higher Education Foundation for High-Level Talents.

PIECEWISE CONTINUOUS SOLUTIONS OF INITIAL VALUE PROBLEMS OF SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS

Yuji LIU

Department of Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China

Received:2014-07-25 Online:2016-10-25 Published:2016-10-25
Supported by:
Supported by the Natural Science Foundation of Guangdong Province (S2011010001900) and the Guangdong Higher Education Foundation for High-Level Talents.

摘要/Abstract

摘要：

Results on the existence of piecewise continuous solutions for two classes of initial value problems of impulsive singular fractional differential equations are obtained.

关键词: singular fractional differential equation, impulsive effect, piecewise continuous solution, fixed point theorem

Abstract:

Results on the existence of piecewise continuous solutions for two classes of initial value problems of impulsive singular fractional differential equations are obtained.

Key words: singular fractional differential equation, impulsive effect, piecewise continuous solution, fixed point theorem

中图分类号:

92D25

刘玉记. PIECEWISE CONTINUOUS SOLUTIONS OF INITIAL VALUE PROBLEMS OF SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS[J]. 数学物理学报(英文版), 2016, 36(5): 1492-1508.

Yuji LIU. PIECEWISE CONTINUOUS SOLUTIONS OF INITIAL VALUE PROBLEMS OF SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS[J]. Acta mathematica scientia,Series B, 2016, 36(5): 1492-1508.

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PIECEWISE CONTINUOUS SOLUTIONS OF INITIAL VALUE PROBLEMS OF SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS

PIECEWISE CONTINUOUS SOLUTIONS OF INITIAL VALUE PROBLEMS OF SINGULAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS

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