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Differential Equations and Dynamical Systems

, Volume 27, Issue 4, pp 395–411 | Cite as

Existence of Solutions for a Coupled Fractional Differential Equations with Infinitely Many Points Boundary Conditions at Resonance on an Unbounded Domain

  • Fu-Dong Ge
  • Hua-Cheng ZhouEmail author
  • Chun-Hai Kou
Original Research

Abstract

This paper investigates the existence of solutions for infinitely many points boundary value problems at resonance with \(\mathrm{dimker}\,L=2\) regarding fractional differential equations on an unbounded domain. By the well-known coincidence degree theory of Mawhin, it is shown that the considered system under certainly conditions admits at least one solution. An example to illustrate the applicability of the given conditions is also given.

Keywords

Fractional differential equations Infinitely many points Resonance Coincidence degree theory Unbounded domain 

Mathematics Subject Classification

34A08 34B10 34B40 

Notes

Acknowledgments

This work is supported by Chinese Universities Scientific Fund (No. CUSF-DH-D-2014061) and the Natural Science Foundation of Shanghai (No. 15ZR1400800).

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Copyright information

© Foundation for Scientific Research and Technological Innovation 2015

Authors and Affiliations

  1. 1.College of Information Science and TechnologyDonghua UniversityShanghaiChina
  2. 2.Academy of Mathematics and Systems ScienceAcademia SinicaBeijingChina
  3. 3.Department of Applied MathematicsDonghua UniversityShanghaiChina

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