Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (4): 582-588.

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Existence of Positive Solution to a Singular System of Nonlinear Fractional Differential Equation 

  

  1. Department of Mathematics, Xiangnan University
  • Received:2009-01-20 Online:2010-12-30 Published:2023-05-19
  • About author:WANG Jin-hua(1968-), female, native of Linling, Hunan, an associate professor of Xiangnan University, M.S.D., engages in fractional differential equation.
  • Supported by:
     Supported by Natural Science Foundation of Hunan Province(09JJ3005; 2010GK3008);

Abstract: In this paper, we discuss a singular system of nonlinear fractional differential equation, in which the inhomogeneous term depends on the fractional derivative of lower order. By using the Krasnoselskii’s fixed point theorem and the Leray-Schauder nonlinear alternative method, some sufficient conditions for the existence of positive solution of the singular system are obtained.

Key words: fractional differential equation, positive solution, fixed point theorem

CLC Number: