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Volume 6, Issue 4
On Nonlocal Neutral Stochastic Integro Differential Equations with Impulsive Random

Sahar M. A. Maqbol, R. S. Jain & B. S. Reddy

DOI: 10.12150/jnma.2024.1200

J. Nonl. Mod. Anal., 6 (2024), pp. 1200-1215.

Published online: 2024-12

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

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

  • AMS Subject Headings

34K20, 34K45, 45J05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-6-1200, author = {Maqbol , Sahar M. A.Jain , R. S. and Reddy , B. S.}, title = {On Nonlocal Neutral Stochastic Integro Differential Equations with Impulsive Random}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2024}, volume = {6}, number = {4}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2024.1200}, url = {http://global-sci.org/intro/article_detail/jnma/23680.html} }
TY - JOUR T1 - On Nonlocal Neutral Stochastic Integro Differential Equations with Impulsive Random AU - Maqbol , Sahar M. A. AU - Jain , R. S. AU - Reddy , B. S. JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 1200 EP - 1215 PY - 2024 DA - 2024/12 SN - 6 DO - http://doi.org/10.12150/jnma.2024.1200 UR - https://global-sci.org/intro/article_detail/jnma/23680.html KW - Existence, continuous dependence, random impulsive, integro differential equations, Krasnoselskii's-Schaefer type fixed point theorem. AB -

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.

Maqbol , Sahar M. A.Jain , R. S. and Reddy , B. S.. (2024). On Nonlocal Neutral Stochastic Integro Differential Equations with Impulsive Random. Journal of Nonlinear Modeling and Analysis. 6 (4). 1200-1215. doi:10.12150/jnma.2024.1200
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