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