【摘要】 利用Banach不动点定理和Leray-Schauder不动点定理，研究一类具有无穷时滞变系数线性分数阶微分方程的解，得到该分数阶微分方程解的存在性和唯一性，并通过Gronwall不等式探讨了该分数阶微分方程的Hyers-Ulam稳定性.更多还原

【Abstract】 By using the Banach fixed point theorem and Leray-Schauder fixed point theorem, the existence and uniqueness of a class of linear fractional differential equations with variable coefficients and infinite delay are obtained. Besides, by means of a class of Gronwall inequalities, the Hyers-Ulam stability of this fractional differential equation is discussed.更多还原