{ "id": "2004.02619", "version": "v1", "published": "2020-03-30T10:53:41.000Z", "updated": "2020-03-30T10:53:41.000Z", "title": "Properties of Some $ψ$-Hilfer fractional Integrodifferential equations", "authors": [ "Deepak B. Pachpatte" ], "categories": [ "math.CA" ], "abstract": "In this paper we study some properties of $\\psi$-Hilfer fractional integrodifferential equations. We obtain the existence and uniqueness and other properties such as continuous dependence of solution. The tools used for obtaining our result is Banach fixed point theorem. Certain inequalities are also used obtain the estimates on the solution of the equation.", "revisions": [ { "version": "v1", "updated": "2020-03-30T10:53:41.000Z" } ], "analyses": { "subjects": [ "26A33", "34A08", "34A12", "34A40" ], "keywords": [ "hilfer fractional integrodifferential equations", "properties", "banach fixed point theorem", "uniqueness", "continuous dependence" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }