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On Nonlocal Neutral Stochastic Integro Differential Equations with Impulsive Random

Year:    2024

Author:    Sahar M. A. Maqbol, R. S. Jain, B. S. Reddy

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 1200–1215

Abstract

In this work, we discuss the existence and continuous dependence on initial data of solutions for non-local random impulsive neutral stochastic integrodifferential delayed equations. First, we prove the existence of mild solutions to the equations by using Krasnoselskii's-Schaefer type fixed point theorem. Next, we prove the continuous dependence on initial data results under the Lipschitz condition on a bounded and closed interval. Finally, we propose an example to validate the obtained results.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2024.1200

Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 1200–1215

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Existence continuous dependence random impulsive integro differential equations Krasnoselskii's-Schaefer type fixed point theorem.

Author Details

Sahar M. A. Maqbol

R. S. Jain

B. S. Reddy