Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses

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摘要

In this paper, we investigate some uniqueness and Ulam’s type stability concepts of fixed point equations for a class of partial functional differential equations with not instantaneous impulses in Banach spaces. An example is also provided to illustrate our results.

论文关键词:Fractional differential equation,Caputo fractional order derivative,Darboux problem,Fixed point equation,Impulse,Ulam–Hyers–Rassias stability

论文评审过程:Available online 12 July 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.06.073