{ "id": "1003.1584", "version": "v1", "published": "2010-03-08T10:03:51.000Z", "updated": "2010-03-08T10:03:51.000Z", "title": "Stochastic Volterra equations driven by fractional Brownian motion with Hurst parameter H > 1/2", "authors": [ "Mireia BesalĂș", "Carles Rovira" ], "categories": [ "math.PR" ], "abstract": "In this note we prove an existence and uniqueness result of solution for stochastic Volterra integral equations driven by a fractional Brownian motion with Hurst parameter H > 1/2, showing also that the solution has finite moments. The stochastic integral with respect to the fractional Brownian motion is a pathwise Riemann-Stieltjes integral.", "revisions": [ { "version": "v1", "updated": "2010-03-08T10:03:51.000Z" } ], "analyses": { "subjects": [ "60H05", "60H07" ], "keywords": [ "fractional brownian motion", "stochastic volterra equations driven", "hurst parameter", "stochastic volterra integral equations driven" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1003.1584B" } } }