Existence and Hyers-Ulam Stability of Stochastic Integrodifferential Equations With a Random Impulse
| dc.contributor.author | Kasinathan, Ravikumar | |
| dc.contributor.author | Sandrasekaran, Varshini | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kasinathan, Ramkumar | |
| dc.date.accessioned | 2024-05-30T13:06:40Z | |
| dc.date.accessioned | 2025-09-18T12:04:59Z | |
| dc.date.available | 2024-05-30T13:06:40Z | |
| dc.date.available | 2025-09-18T12:04:59Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | The theoretical approach of random impulsive stochastic integrodifferential equations (RISIDEs) with finite delay, noncompact semigroups, and resolvent operators in Hilbert space is investigated in this article. Initially, a random impulsive stochastic integrodifferential system is proposed and the existence of a mild solution for the system is established using the Monch fixed-point theorem and contemplating Hausdorff measures of noncompactness. Then, the stability results including a continuous dependence of solutions on initial conditions, exponential stability, and Hyers-Ulam stability for the aforementioned system are investigated. Finally, an example is proposed to validate the obtained results. | en_US |
| dc.description.sponsorship | The authors would like to express their sincere thanks to the editor and the anonymous reviewers for their valuable comments and suggestions. | en_US |
| dc.identifier.citation | Kasinathan, Ramkumar...et al. "Existence and Hyers–Ulam stability of stochastic integrodifferential equations with a random impulse", Journal of Inequalities and Applications, Vol. 2023, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13660-023-03023-y | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.scopus | 2-s2.0-85171352141 | |
| dc.identifier.uri | https://doi.org/10.1186/s13660-023-03023-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10472 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Journal of Inequalities and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Stochastic Differential Equations | en_US |
| dc.subject | Random Impulse | en_US |
| dc.subject | Noncompact Semigroup | en_US |
| dc.subject | Hyers-Ulam Stability | en_US |
| dc.subject | Mean-Square Exponential Stability | en_US |
| dc.title | Existence and Hyers-Ulam Stability of Stochastic Integrodifferential Equations With a Random Impulse | en_US |
| dc.title | Existence and Hyers–Ulam stability of stochastic integrodifferential equations with a random impulse | tr_TR |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kasinathan, Ramkumar; Kasinathan, Ravikumar] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, India; [Sandrasekaran, Varshini] Sri Eshwar Coll Engn, Dept Math, Coimbatore 641202, India; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkiye; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40447, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Romania | en_US |
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| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Exponential stability | |
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| gdc.oaire.keywords | Stochastic functional-differential equations | |
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