Solvability of fractional differential equations with integral boundary conditions at resonance

Yude Ji, Weihua Jiang, Jiqing Qiu

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 $\text{\rm dim}\text{\rm Ker}L=2$, which will cause some
difficulties in constructing the projector $Q$. An example is given
to illustrate our result.

Keywords


Fractional differential equation; integral boundary conditions; resonance; coincidence degree theory

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