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Discontinuity, Nonlinearity, and Complexity 12(3) (2023) 555--574 | DOI:10.5890/DNC.2023.09.006

K. Malar

Department of Mathematics, Erode Arts and Science College, Erode- 638 009, Tamil Nadu. India

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Abstract

This work focuses on existence results of fractional order stochastic non-instantaneous impulsive neutral functional integro-differential equation with infinite delay. The results are obtained by using the Hausdorff measure of non-compactness, fractional calculus, stochastic analysis techniques and fixed point theorems. Finally, examples are given to illustrate the obtained theory.

Acknowledgments

\noindent The author is very thankful to the referees for giving several valuable suggestions.

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