Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (5): 1492-1508.doi: 10.1016/S0252-9602(16)30085-6

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

Yuji LIU   

  1. 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.

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

CLC Number: 

  • 92D25
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