Stability of Nonlocal Stochastic Volterra Equations

Sheila A.  Bishop; Agatha C.  Nnubia

doi:10.52968/28302767

Stability of Nonlocal Stochastic Volterra Equations

Sheila A. Bishop Department of Mathematics, University of Lagos, Nigeria.
Agatha C. Nnubia Department of Mathematics, Nnamdi Azikiwe University, Awka, Nigeria

DOI: https://doi.org/10.52968/28302767

Keywords: : Ulam-Hyers-Rassias stability, Stochastic Volterra equation, Gronwall lemma, Nonlocal conditions

Abstract

In this paper, we study Ulam-Hyers-Rassias stability of solutions for nonlocal stochastic Volterra equations. Sufficient conditions for the existence and stability of solutions are derived using the Gronwall lemma. The advantage of our model equation is that it allows for additional measurements leading to better results compared to models with local initial conditions. Examples are solved to illustrate the applications of the results.

Published

2021-11-10

How to Cite

Bishop, S. A., & Nnubia, A. C. (2021). Stability of Nonlocal Stochastic Volterra Equations. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 7(2), 48 - 55. https://doi.org/10.52968/28302767

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Issue

Vol 7 No 2 (2021)

Section

Articles

This is an Open Access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, adaptation, and reproduction in any medium, provided that the original work is properly cited.