{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T01:26:37Z","timestamp":1725585997937},"reference-count":0,"publisher":"ASMEDC","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2009,1,1]]},"abstract":"<jats:p>It is well known the difficulties that the Riesz fractional derivative present, as the spatial fractional derivative involved in many models of the dynamics of anomalous processes. The generalized Gru\u00a8nwal-Letnikov fractional derivative is analysed in this paper. Its Laplace and Fourier Transforms are computed and some current results criticized. It is shown that only the forward derivative of a sinusoid exists. This result is used to define the frequency response of a fractional linear system.<\/jats:p>","DOI":"10.1115\/detc2009-87238","type":"proceedings-article","created":{"date-parts":[[2010,7,15]],"date-time":"2010-07-15T19:12:37Z","timestamp":1279221157000},"page":"1227-1231","update-policy":"http:\/\/dx.doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":6,"title":["Generalized GL Fractional Derivative and Its Laplace and Fourier Transform"],"prefix":"10.1115","author":[{"given":"Manuel D.","family":"Ortigueira","sequence":"first","affiliation":[{"name":"UNINOVA, Monte da Caparica, Portugal"}]},{"given":"Juan J.","family":"Trujillo","sequence":"additional","affiliation":[{"name":"La Laguna University, La Laguna, Tenerife, Spain"}]}],"member":"33","published-online":{"date-parts":[[2010,7,29]]},"event":{"name":"ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference","start":{"date-parts":[[2009,8,30]]},"sponsor":["Design Engineering Division and Computers in Engineering Division"],"location":"San Diego, California, USA","end":{"date-parts":[[2009,9,2]]},"acronym":"IDETC-CIE2009"},"container-title":["Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C"],"original-title":[],"link":[{"URL":"http:\/\/asmedigitalcollection.asme.org\/IDETC-CIE\/proceedings-pdf\/doi\/10.1115\/DETC2009-87238\/4598067\/1227_1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/asmedigitalcollection.asme.org\/IDETC-CIE\/proceedings-pdf\/doi\/10.1115\/DETC2009-87238\/4598067\/1227_1.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,16]],"date-time":"2020-07-16T09:55:06Z","timestamp":1594893306000},"score":1,"resource":{"primary":{"URL":"https:\/\/asmedigitalcollection.asme.org\/IDETC-CIE\/proceedings\/IDETC-CIE2009\/49019\/1227\/345594"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1,1]]},"references-count":0,"URL":"https:\/\/doi.org\/10.1115\/detc2009-87238","relation":{},"subject":[],"published":{"date-parts":[[2009,1,1]]}}}