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

Alka Chadha; Dwijendra N Pandey

doi:10.26637/mjm203/004

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

Mathematics Subject Classification:

34K37, 34K30, 35R11, 47N20

Authors Imprint References Funding Related Articles Downloads

Alka Chadha ndian Institute of Technology Roorkee-247667, Uttarakhand, India.
Dwijendra N Pandey Indian Institute of Technology Roorkee-247667, Uttarakhand, India. https://orcid.org/0000-0001-8542-7094

Pages: 203-214
Date Published: 01-07-2014
Vol. 2 No. 03 (2014): Malaya Journal of Matematik (MJM)

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