Abstract
In this paper, by using fractional power of operators and Sadovskii’s fixed point theorem, we study the existence of mild solution for a certain class of impulsive neutral functional integrodifferential equations with nonlocal conditions. The results we obtained are a generalization and continuation of the recent resultson this issue.
Highlights
Impulsive differential equations, that are differential equations involving impulsive effect, appear as a natural description of several real world problems
The theory of integrodifferential equations can be used to describe a lot of natural phenomena arising from many fields such as electronics, fluid dynamics, biological models, and chemical kinetics
For more details on this theory and on its applications we refer to the monographs of Lakshmikantham et al [14], and Samoilenko and Perestyuk [4] for the case of ordinary impulsive system and for partial differential and for partial functional differential equations with impulses
Summary
That are differential equations involving impulsive effect, appear as a natural description of several real world problems. Several authors [3,9,11] have investigated the impulsive integrodifferential equations in abstract spaces. By using fractional powers of operators and Sadovskii’s fixed point theorem.
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