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Publication date: 27 November 2018

Existence of mild solutions for fractional non-instantaneous impulsive integro-differential equations with nonlocal conditions

Arshi Meraj and Dwijendra N. Pandey

This paper is concerned with the existence of mild solutions for a class of fractional semilinear integro-differential equations having non-instantaneous impulses. The result is…

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Abstract

This paper is concerned with the existence of mild solutions for a class of fractional semilinear integro-differential equations having non-instantaneous impulses. The result is obtained by using noncompact semigroup theory and fixed point theorem. The obtained result is illustrated by an example at the end.