Solvability of fractional differential equations with integral boundary conditions at resonance
Keywords
Fractional differential equation, integral boundary conditions, resonance, coincidence degree theoryAbstract
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 $\text{\rm dim}\text{\rm Ker}L=2$, which will cause some difficulties in constructing the projector $Q$. An example is given to illustrate our result.Downloads
Published
2013-04-22
How to Cite
1.
JI, Yude, JIANG, Weihua and QIU, Jiqing. Solvability of fractional differential equations with integral boundary conditions at resonance. Topological Methods in Nonlinear Analysis. Online. 22 April 2013. Vol. 42, no. 2, pp. 461 - 479. [Accessed 19 April 2024].
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