ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Existence, Uniqueness and Stability of Impulsive Stochastic Partial Neutral Functional Differential Equations with Infinite Delays Driven by a Fractional Brownian Motion

Discontinuity, Nonlinearity, and Complexity 9(2) (2020) 327--337 | DOI:10.5890/DNC.2020.06.012

A. Anguraj$^{1}$, K. Ramkumar$^{1}$, E. M. Elsayed$^{2}$,$^{3}$

$^{1}$ Department of Mathematics, PSG College of Arts & Science, Coimbatore, 641 014, India

$^{2}$ Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

$^{3}$ Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt

Abstract

This article presents the result on existence, uniqueness and stability of mild solution of impulsive stochastic partial neutral functional differential equations driven by a fractional Brownian motion. The results are obtained by using the method of successive approximation and Bihari’s inequality.

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