Stability results for partial fractional differential equations with noninstantaneous impulses

[摘要] In this article, we investigate some uniqueness and Ulam’s type stability concepts for the Darboux problem of partial functional differential equations with noninstantaneous impulses and delay in Banach spaces. The main techniques rely on fractional calculus, integral equations and inequalities. Two examples are also provided to illustrate our results.

[学科分类] 数学（综合）

[关键词] fractional differential equation;Riemann-Liouville integral;Caputo derivative;Darboux problem;noninstantaneous impulses;Ulam-Hyers-Rassias stability;26A33;34K37;34K45