## Topological Methods in Nonlinear Analysis

### Solvability of fractional differential equations with integral boundary conditions at resonance

#### Abstract

By using the coincidence degree theory due to Mawhin and constructing suitable operators, some sufficient conditions for the existence of solution for a class of fractional differential equations with integral boundary conditions at resonance are established, which are complement of previously known results. The interesting point is that we shall deal with the case ${\rm dim}\,{\rm Ker}\,L=2$, which will cause some difficulties in constructing the projector $Q$. An example is given to illustrate our result.

#### Article information

Source
Topol. Methods Nonlinear Anal., Volume 42, Number 2 (2013), 461-479.

Dates
First available in Project Euclid: 21 April 2016

https://projecteuclid.org/euclid.tmna/1461248989

Mathematical Reviews number (MathSciNet)
MR3203459

Zentralblatt MATH identifier
1304.34008

#### Citation

Ji, Yude; Jiang, Weihua; Qiu, Jiqing. Solvability of fractional differential equations with integral boundary conditions at resonance. Topol. Methods Nonlinear Anal. 42 (2013), no. 2, 461--479. https://projecteuclid.org/euclid.tmna/1461248989

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