【摘要】 考虑具有无穷时滞和多个Caputo分数阶导数的中立型分数阶泛函微分方程解的存在性和Hyers-Ulam稳定性。利用压缩映射原理及无穷时滞的相空间理论得到方程解的存在性，并利用分数阶微积分的广义Gronwal型不等式及分数阶积分算子的单调性得到解的Hyers-Ulam稳定性。更多还原

【Abstract】 The existence and Hyers-Ulam stability of neutral fractional functional differential equation with infinite delay and multiple Caputo fractional derivatives are studied.Firstly, the existence of solutions is obtained by using the contraction mapping principle and the phase space theory on infinite delay.Then the Hyers-Ulam stability of solution is obtained by using the generalized Gronwall inequality and the monotonicity of the fractional integral operator.更多还原