Existence results of noninstantaneous impulsive fractional integro-differential equation

[摘要] Existence of mild solution for noninstantaneous impulsive fractional order integro-differential equations with local and nonlocal conditions in Banach space is established in this paper. Existence results with local and nonlocal conditions are obtained through operator semigroup theory using generalized Banach contraction theorem and Krasnoselskii’s fixed point theorem, respectively. Finally, illustrations are added to validate derived results.

[学科分类] 外科医学

[关键词] fractional integro-differential equation;semigroup;noninstantaneous impulses;fixed point theorem