Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 289-297.

• Articles • Previous Articles     Next Articles

Eistence of Solutions for Nonlinear Fractional Order Functional Differential |Equations

 ZHANG Hai1,2, ZHENG Zu-Xiu2, JIANG Wei2   

  1. 1.School of Mathematics and Computational Sciences, Anqing Teachers College, |Anhui Anqing |246133|2.School of Mathematical Sciences, Anhui University, Hefei |230039
  • Received:2008-10-23 Revised:2010-10-03 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    国家自然科学基金(10771001)、教育部科学技术研究重点基金(205068)、高等学校博士学科点专项科研基金(20093401110001)、安徽省高校省级自然科学研究基金(KJ2008B152, KJ2009B098)、安徽省高校自然科学研究重点项目(KJ2011A197)和安徽大学创新团队基金资助

Abstract:

This paper is concerned with the initial value problems for nonlinear fractional functional differential equations. The results of existence of solutions are derived based on Banach fixed point theorem, Schauder fixed point theorem and successive approximations technique, respectively. These results extend the corresponding ones of ordinary differential equations and functional differential equations of integer order. An example is also given to illustrate the validity and practicability of our main results.

Key words: Fractional functional differential equations, Initial value problem, Fixed points theorems, Fractional derivative, Fractional integral

CLC Number: 

  • 34A12
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