Neutral stochastic partial functional integro-differential equations driven by G-Brownian motion

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dc.contributor.authorWang, Bingjun
dc.contributor.authorGao, Hongjun
dc.date.accessioned2021-12-06T19:17:57Z
dc.date.available2021-12-06T19:17:57Z
dc.date.issued2019-11-15
dc.description.abstractIn this article, we define the Hilbert-valued stochastic calculus with respect to G-Brownian motion in G-framework. On that basis, we prove the existence and uniqueness of mild solution for a class of neutral stochastic partial functional integro-differential equations driven by G-Brownian motion with non-Lipschitz coefficients. Our results are established by means of the Picard approximation. Moreover, we establish the stability of mild solution. An example is given to illustrate the theory.
dc.description.departmentMathematics
dc.formatText
dc.format.extent15 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationWang, B., & Gao, H. (2019). Neutral stochastic partial functional integro-differential equations driven by G-Brownian motion. <i>Electronic Journal of Differential Equations, 2019</i>(119), pp. 1-15.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15014
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNeutral equation
dc.subjectG-Brownian motion
dc.subjectMild solution
dc.subjectStability
dc.titleNeutral stochastic partial functional integro-differential equations driven by G-Brownian motion
dc.typeArticle

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