Dynamical behaviors of fractional neutral stochastic integro-differential delay systems with impulses
Abstract The aim of this manuscript is to analyze the stability for fractional neutral stochastic integro-differential delay systems (FNSIDDSs) with impulses driven by Poisson jumps. Sufficient conditions are established for a class of FNSIDDSs with impulses driven by Poisson jumps with the help of...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-03-01
|
| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13661-025-02037-3 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849765456674553856 |
|---|---|
| author | Dhanalakshmi Kasinathan Ramkumar Kasinathan Ravikumar Kasinathan Dimplekumar Chalishajar Dumitru Baleanu |
| author_facet | Dhanalakshmi Kasinathan Ramkumar Kasinathan Ravikumar Kasinathan Dimplekumar Chalishajar Dumitru Baleanu |
| author_sort | Dhanalakshmi Kasinathan |
| collection | DOAJ |
| description | Abstract The aim of this manuscript is to analyze the stability for fractional neutral stochastic integro-differential delay systems (FNSIDDSs) with impulses driven by Poisson jumps. Sufficient conditions are established for a class of FNSIDDSs with impulses driven by Poisson jumps with the help of fractional calculus, stochastic theory, semigroup theory, and Mönch fixed point theorem in an infinite-dimensional space followed by the existence of a mild solution. The main reason for using Mönch fixed point theorem is its relation to Hausdorff measure of noncompactness (HMNC) adopted to prove the relative compactness conditions. Finally, an example is demonstrated to illustrate the obtained theoretical results. |
| format | Article |
| id | doaj-art-f6c7ce8bb1f44a2e8085ac389e315d96 |
| institution | DOAJ |
| issn | 1687-2770 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj-art-f6c7ce8bb1f44a2e8085ac389e315d962025-08-20T03:04:51ZengSpringerOpenBoundary Value Problems1687-27702025-03-012025112810.1186/s13661-025-02037-3Dynamical behaviors of fractional neutral stochastic integro-differential delay systems with impulsesDhanalakshmi Kasinathan0Ramkumar Kasinathan1Ravikumar Kasinathan2Dimplekumar Chalishajar3Dumitru Baleanu4Department of Mathematics, Periyar UniversityDepartment of Mathematics, PSG College of Arts and ScienceDepartment of Mathematics, PSG College of Arts and ScienceDepartment of Applied Mathematics, Mallory Hall, Virginia Military Institute (VMI)Department of Computer Science and Mathematics, Lebanese American UniversityAbstract The aim of this manuscript is to analyze the stability for fractional neutral stochastic integro-differential delay systems (FNSIDDSs) with impulses driven by Poisson jumps. Sufficient conditions are established for a class of FNSIDDSs with impulses driven by Poisson jumps with the help of fractional calculus, stochastic theory, semigroup theory, and Mönch fixed point theorem in an infinite-dimensional space followed by the existence of a mild solution. The main reason for using Mönch fixed point theorem is its relation to Hausdorff measure of noncompactness (HMNC) adopted to prove the relative compactness conditions. Finally, an example is demonstrated to illustrate the obtained theoretical results.https://doi.org/10.1186/s13661-025-02037-3Exponential stabilityMönch fixed point theoremIntegro-differential delay systemMild solutionPoisson jumpStochastic differential equation |
| spellingShingle | Dhanalakshmi Kasinathan Ramkumar Kasinathan Ravikumar Kasinathan Dimplekumar Chalishajar Dumitru Baleanu Dynamical behaviors of fractional neutral stochastic integro-differential delay systems with impulses Boundary Value Problems Exponential stability Mönch fixed point theorem Integro-differential delay system Mild solution Poisson jump Stochastic differential equation |
| title | Dynamical behaviors of fractional neutral stochastic integro-differential delay systems with impulses |
| title_full | Dynamical behaviors of fractional neutral stochastic integro-differential delay systems with impulses |
| title_fullStr | Dynamical behaviors of fractional neutral stochastic integro-differential delay systems with impulses |
| title_full_unstemmed | Dynamical behaviors of fractional neutral stochastic integro-differential delay systems with impulses |
| title_short | Dynamical behaviors of fractional neutral stochastic integro-differential delay systems with impulses |
| title_sort | dynamical behaviors of fractional neutral stochastic integro differential delay systems with impulses |
| topic | Exponential stability Mönch fixed point theorem Integro-differential delay system Mild solution Poisson jump Stochastic differential equation |
| url | https://doi.org/10.1186/s13661-025-02037-3 |
| work_keys_str_mv | AT dhanalakshmikasinathan dynamicalbehaviorsoffractionalneutralstochasticintegrodifferentialdelaysystemswithimpulses AT ramkumarkasinathan dynamicalbehaviorsoffractionalneutralstochasticintegrodifferentialdelaysystemswithimpulses AT ravikumarkasinathan dynamicalbehaviorsoffractionalneutralstochasticintegrodifferentialdelaysystemswithimpulses AT dimplekumarchalishajar dynamicalbehaviorsoffractionalneutralstochasticintegrodifferentialdelaysystemswithimpulses AT dumitrubaleanu dynamicalbehaviorsoffractionalneutralstochasticintegrodifferentialdelaysystemswithimpulses |