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Well Posedness of Second-Order Impulsive Fractional Neutral Stochastic Differential Equations

dc.contributor.author Kasinathan, Ravikumar
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Annamalai, Anguraj
dc.contributor.author Kasinathan, Ramkumar
dc.date.accessioned 2023-02-13T12:04:02Z
dc.date.accessioned 2025-09-18T12:05:00Z
dc.date.available 2023-02-13T12:04:02Z
dc.date.available 2025-09-18T12:05:00Z
dc.date.issued 2021
dc.description.abstract In this manuscript, we investigate a class of second-order impulsive fractional neutral stochastic differential equations (IFNSDEs) driven by Poisson jumps in Banach space. Firstly, sufficient conditions of the existence and the uniqueness of the mild solution for this type of equations are driven by means of the successive approximation and the Bihari's inequality. Next we get the stability in mean square of the mild solution via continuous dependence on initial value. en_US
dc.identifier.citation Kasinathan, Ramkumar; Baleanu, Dumitru; Annamalai, Anguraj (2021). "Well posedness of second-order impulsive fractional neutral stochastic differential equations", AIMS Mathematics, Vol. 6, No. 9, pp. 9222-9235. en_US
dc.identifier.doi 10.3934/math.2021536
dc.identifier.issn 2473-6988
dc.identifier.scopus 2-s2.0-85108163483
dc.identifier.uri https://doi.org/10.3934/math.2021536
dc.identifier.uri https://hdl.handle.net/20.500.12416/10483
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 Fractional Differential Equations en_US
dc.subject Bihari'S Inequality en_US
dc.subject Successive Approximation en_US
dc.subject Poisson Jumps en_US
dc.title Well Posedness of Second-Order Impulsive Fractional Neutral Stochastic Differential Equations en_US
dc.title Well posedness of second-order impulsive fractional neutral stochastic differential equations tr_TR
dc.type Article en_US
dspace.entity.type Publication
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gdc.author.wosid Baleanu, Dumitru/B-9936-2012
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gdc.coar.type text::journal::journal article
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gdc.description.department Çankaya University en_US
gdc.description.departmenttemp [Kasinathan, Ramkumar; Kasinathan, Ravikumar; Annamalai, Anguraj] PSG Coll Arts & Sci, Dept Math, Coimbatore 641046, Tamil Nadu, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan en_US
gdc.description.endpage 9235 en_US
gdc.description.issue 9 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 9222 en_US
gdc.description.volume 6 en_US
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gdc.oaire.keywords Artificial intelligence
gdc.oaire.keywords Class (philosophy)
gdc.oaire.keywords Economics
gdc.oaire.keywords Space (punctuation)
gdc.oaire.keywords Theory and Applications of Fractional Differential Equations
gdc.oaire.keywords Mathematical analysis
gdc.oaire.keywords Differential equation
gdc.oaire.keywords Machine learning
gdc.oaire.keywords QA1-939
gdc.oaire.keywords FOS: Mathematics
gdc.oaire.keywords Stability (learning theory)
gdc.oaire.keywords poisson jumps
gdc.oaire.keywords Biology
gdc.oaire.keywords Anomalous Diffusion Modeling and Analysis
gdc.oaire.keywords C0-semigroup
gdc.oaire.keywords Order (exchange)
gdc.oaire.keywords successive approximation
gdc.oaire.keywords Impulsive Differential Equations
gdc.oaire.keywords Banach space
gdc.oaire.keywords Stochastic differential equation
gdc.oaire.keywords Ecology
gdc.oaire.keywords Applied Mathematics
gdc.oaire.keywords Statistics
gdc.oaire.keywords Applied mathematics
gdc.oaire.keywords Computer science
gdc.oaire.keywords Operating system
gdc.oaire.keywords Initial value problem
gdc.oaire.keywords Modeling and Simulation
gdc.oaire.keywords FOS: Biological sciences
gdc.oaire.keywords Physical Sciences
gdc.oaire.keywords Poisson distribution
gdc.oaire.keywords bihari's inequality
gdc.oaire.keywords Uniqueness
gdc.oaire.keywords stochastic fractional differential equations
gdc.oaire.keywords Type (biology)
gdc.oaire.keywords Mathematics
gdc.oaire.keywords Finance
gdc.oaire.keywords Stochastic functional-differential equations
gdc.oaire.keywords Fractional ordinary differential equations
gdc.oaire.keywords Poisson jumps
gdc.oaire.keywords Stochastic partial differential equations (aspects of stochastic analysis)
gdc.oaire.keywords Bihari's inequality
gdc.oaire.keywords Functional-differential equations with fractional derivatives
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gdc.oaire.sciencefields 0101 mathematics
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gdc.publishedmonth 6
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gdc.virtual.author Baleanu, Dumitru
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