Volume 9, Issue 8 (August 2022), Pages: 152-157

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 Original Research Paper

 Moment bounds for a class of stochastic nonlinear fractional Volterra integral equations of the second kind

 Author(s): McSylvester Ejighikeme Omaba *

 Affiliation(s):

 Department of Mathematics, College of Science, University of Hafr Al Batin, Hafar Al-Batin, Saudi Arabia

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-5163-229X

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2022.08.019

 Abstract:

This paper studies and compares the second moment (Energy growth) bounds for solutions to a class of stochastic fractional Volterra integral equations of the second kind, under some Lipschitz continuity conditions on the parameters. The result shows that both solutions exhibit exponential growth but at different rates. The existence and uniqueness of the mild solutions are established via the Banach fixed point theorem.

 © 2022 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Existence and uniqueness results, Fractional integrals, Moment growth bounds, Nonlinear Volterra integral equation, Stochastic Volterra integral equation

 Article History: Received 7 March 2022, Received in revised form 22 May 2022, Accepted 26 May 2022

 Acknowledgment 

The author wishes to acknowledge the continuous support of the University of Hafr Al Batin, Saudi Arabia.

 Compliance with ethical standards

 Conflict of interest: The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/or publication of this article.

 Citation:

 Omaba ME (2022). Moment bounds for a class of stochastic nonlinear fractional Volterra integral equations of the second kind. International Journal of Advanced and Applied Sciences, 9(8): 152-157

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