Existence, Uniqueness and Hyers-Ulam Stability of Random Impulsive Stochastic Integro-Differential Equations With Nonlocal Conditions
| dc.contributor.author | Kasinathan, Ramkumar | |
| dc.contributor.author | Kasinathan, Ravikumar | |
| dc.contributor.author | Sandrasekaran, Varshini | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2023-12-07T12:31:52Z | |
| dc.date.accessioned | 2025-09-18T12:09:05Z | |
| dc.date.available | 2023-12-07T12:31:52Z | |
| dc.date.available | 2025-09-18T12:09:05Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | In this article, we study the existence and stability results of mild solutions for random impulsive stochastic integro-differential equations (RISIDEs) with noncompact semigroups and resolvent operators in Hilbert spaces. Initially, we prove the existence of mild solutions using Hausdorff measures of noncompactness and Mo spacing diaeresis nch fixed point theorem. Then, we explore the stability results which includes continuous dependence of initial conditions, Hyers-Ulam stability and mean-square stability of the system by developing some new analysis techniques and establishing an improved inequality. Finally, we propose an example to validate the obtained results. | en_US |
| dc.identifier.citation | Baleanu, D...et.al. (2023). "Existence, uniqueness and Hyers-Ulam stability of random impulsive stochastic integro-differential equations with nonlocal conditions", AIMS Mathematics, Vol8, No.2, pp.2556-2575. | en_US |
| dc.identifier.doi | 10.3934/math.2023132 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85141376242 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2023132 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11309 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Stochastic Differential Equations | en_US |
| dc.subject | Random Impulse | en_US |
| dc.subject | Hyers-Ulam Stability | en_US |
| dc.subject | Mean-Square Exponential Stability | en_US |
| dc.title | Existence, Uniqueness and Hyers-Ulam Stability of Random Impulsive Stochastic Integro-Differential Equations With Nonlocal Conditions | en_US |
| dc.title | Existence, uniqueness and Hyers-Ulam stability of random impulsive stochastic integro-differential equations with nonlocal conditions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | S, Varshini/Itt-1685-2023 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magyrele Bucharest, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Kasinathan, Ramkumar] PSG Coll Arts & Sci, Dept Math Comp Applicat, Coimbatore 641046, India; [Kasinathan, Ravikumar; Sandrasekaran, Varshini] PSG Coll Arts & Sci, Dept Math, Coimbatore 641046, India | en_US |
| gdc.description.endpage | 2575 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 2556 | en_US |
| gdc.description.volume | 8 | en_US |
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| gdc.oaire.keywords | hyers-ulam stability | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Existence Results | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Engineering | |
| gdc.oaire.keywords | Fixed Point Theorems in Metric Spaces | |
| gdc.oaire.keywords | Differential equation | |
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| gdc.oaire.keywords | Fixed-point theorem | |
| gdc.oaire.keywords | mean-square exponential stability | |
| gdc.oaire.keywords | Impulsive Differential Equations | |
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| gdc.oaire.keywords | Uniqueness | |
| gdc.oaire.keywords | Stability | |
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