【摘要】 该文利用广义Banach不动点定理研究了一类带迟滞和瞬时脉冲的分数阶非自治发展方程初值问题解的存在性和唯一性,给出其解的迭代序列和误差估计并讨论了其解是连续依赖于初值的.更多还原

【Abstract】 In this paper, we consider a class of fractional non-autonomous evolution equations with impulses and delay. By the generalized Banach fixed point theorem, we obtain some new results on the existence and uniqueness of the mild solution. An explicit iterative scheme for the mild solution and an error estimate of the approximation sequence for the initial value problem are also derived. Moreover, the unique mild solution of the problem is continuously dependent on the initial value.更多还原