关键词: 共振, Conformable分数阶, Fredholm算子, Mawhin的重合度理论, 边值问题

Abstract: We considered the boundary value problem of fractional differential equations at resonance, by defining a proper Banach space, norms and operators, the Mawhin’s coincidence degree theory was used to prove the existence of solutions for the  three-point boundary value problem of Conformable fractional differential equations at resonance, and a sufficient condition for the existence of its solution was obtained.

Key words: resonance, Conformable fractional, Fredholm operator, Mawhin’s coincidence degree theory, boundary value problem