Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1313-1326.

• Articles • Previous Articles     Next Articles

Existence of |Solutions for Two-point Boundary Value Problem of a Coupled Fractional Differential Equations at Resonance

 HU Lei1,2, ZHANG Shu-Qin1, SHI Ai-Ling3   

  1. 1.Department of Mathematics, China University of Mining and Technology, Beijing 100083;
    2.School of Science, Shandong Jiaotong University, Shandong Jinan 250357;
    3.School of Science, Beijing University of Civil Engineering and Architecture, Beijing 100044
  • Received:2013-04-23 Revised:2014-04-06 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    国家自然科学基金(11371364)和2013年北京市教委科学技术研究项目(KM201310016001)资助

Abstract:

In this article, we establish the existence results for two-point boundary value problem of a coupled fractional differential equations at resonance by means of the coincidence degree theory. Furthermore, a result on the uniqueness of solution is obtained. We give an example to demonstrate our results.

Key words: Coincidence degree, Fractional differential equation, Resonance, Two-point boundary conditions

CLC Number: 

  • 34B15
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