On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps
This article aims to examine the existence and Hyers-Ulam stability of non-local random impulsive neutral stochastic integrodifferential delayed equations with Poisson jumps. Initially, we prove the existence of mild solutions to the equations by using the Banach fixed point theorem. Then, we invest...
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| Format: | Article |
| Language: | English |
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Universidad de La Frontera
2023-08-01
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| Series: | Cubo |
| Subjects: | |
| Online Access: | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3444/2299 |
| _version_ | 1797676917850112000 |
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| author | Sahar M. A. Maqbol R. S. Jain B. S. Reddy |
| author_facet | Sahar M. A. Maqbol R. S. Jain B. S. Reddy |
| author_sort | Sahar M. A. Maqbol |
| collection | DOAJ |
| description | This article aims to examine the existence and Hyers-Ulam stability of non-local random impulsive neutral stochastic integrodifferential delayed equations with Poisson jumps. Initially, we prove the existence of mild solutions to the equations by using the Banach fixed point theorem. Then, we investigate stability via the continuous dependence of solutions on the initial value. Next, we study the Hyers-Ulam stability results under the Lipschitz condition on a bounded and closed interval. Finally, we give an illustrative example of our main result. |
| first_indexed | 2024-03-11T22:36:26Z |
| format | Article |
| id | doaj.art-ed3d0b28f9cf41808c6cf34eb433a113 |
| institution | Directory Open Access Journal |
| issn | 0716-7776 0719-0646 |
| language | English |
| last_indexed | 2024-03-11T22:36:26Z |
| publishDate | 2023-08-01 |
| publisher | Universidad de La Frontera |
| record_format | Article |
| series | Cubo |
| spelling | doaj.art-ed3d0b28f9cf41808c6cf34eb433a1132023-09-22T13:37:58ZengUniversidad de La FronteraCubo0716-77760719-06462023-08-0125221122910.56754/0719-0646.2502.211On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumpsSahar M. A. Maqbol0https://orcid.org/0000-0002-5329-2583R. S. Jain1https://orcid.org/0000-0003-0481-4944B. S. Reddy2https://orcid.org/0000-0001-7578-3685School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India.School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India.School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded-431606, India.This article aims to examine the existence and Hyers-Ulam stability of non-local random impulsive neutral stochastic integrodifferential delayed equations with Poisson jumps. Initially, we prove the existence of mild solutions to the equations by using the Banach fixed point theorem. Then, we investigate stability via the continuous dependence of solutions on the initial value. Next, we study the Hyers-Ulam stability results under the Lipschitz condition on a bounded and closed interval. Finally, we give an illustrative example of our main result.https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3444/2299existence of mild solutionshyers-ulam (hu) stabilityrandom impulsivestochastic integro differential equationstime delays |
| spellingShingle | Sahar M. A. Maqbol R. S. Jain B. S. Reddy On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps Cubo existence of mild solutions hyers-ulam (hu) stability random impulsive stochastic integro differential equations time delays |
| title | On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps |
| title_full | On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps |
| title_fullStr | On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps |
| title_full_unstemmed | On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps |
| title_short | On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps |
| title_sort | on stability of nonlocal neutral stochastic integro differential equations with random impulses and poisson jumps |
| topic | existence of mild solutions hyers-ulam (hu) stability random impulsive stochastic integro differential equations time delays |
| url | https://cubo.ufro.cl/ojs/index.php/cubo/article/view/3444/2299 |
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