### 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 $\text{\rm dim}\text{\rm Ker}L=2$, which will cause some

difficulties in constructing the projector $Q$. An example is given

to illustrate our result.

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

#### Full Text:

FULL TEXT### Refbacks

- There are currently no refbacks.