{ "id": "1811.01889", "version": "v1", "published": "2018-11-05T18:08:42.000Z", "updated": "2018-11-05T18:08:42.000Z", "title": "On the fractional functional differential equation with abstract Volterra operator", "authors": [ "J. Vanterler da C. Sousa", "E. Capelas de Oliveira", "Kishor D. Kucche" ], "comment": "18 pages", "categories": [ "math.CA" ], "abstract": "The present paper plans to examine the existence, uniqueness and data dependence of the solution of the fractional functional differential equation with the abstract operator of Volterra, in the context of the Picard operators. We present an example, in order to illustrate the results obtained. We present an application, with the end goal to illustrate the results obtained.", "revisions": [ { "version": "v1", "updated": "2018-11-05T18:08:42.000Z" } ], "analyses": { "subjects": [ "26A33", "47H10", "34K05" ], "keywords": [ "fractional functional differential equation", "abstract volterra operator", "paper plans", "data dependence", "abstract operator" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }