Existence results for an impulsive neutral integro-differential equation with infinite delay via fractional operators

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Authors :

Alka Chaddha* and Dwijendra N Pandey

Author Address :

Indian Institute of Technology Roorkee-247667, Uttarakhand, India.

*Corresponding author.

Abstract :

In this present work, we consider an impulsive neutral integro-differential equation with infinite delay in an arbitrary Banach space $X$. The existence of mild solution is established by using resolvent operator and Hausdorff measure of noncompactness.

Keywords :

Resolvent operator, Impulsive differential equation, Neutral integro-differential equation, Measure of noncompactness.

DOI :

Article Info :

Received : January 17, 2014; Accepted : April 25, 2014.