{"created":"2021-03-01T06:59:33.112245+00:00","id":39991,"links":{},"metadata":{"_buckets":{"deposit":"ac3f753f-279d-48a3-b6ea-9cba5bf52c56"},"_deposit":{"id":"39991","owners":[],"pid":{"revision_id":0,"type":"depid","value":"39991"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00039991","sets":["312:6865:6883:6887","9:504:6868:6885:6888"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2014-06-30","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"152","bibliographicPageStart":"129","bibliographicVolumeNumber":"21","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We consider a homogeneous fractional diffusion problem in an infinite reservoir sometimes called a “modified” diffusion equation. The equation involves a (nonlocal in time) memory term in the form of a time fractional derivative (of the Laplacian). For the sake of reducing the computational domain to a bounded one we establish appropriate “artificial” boundary conditions. This is to avoid the effect of reflected waves in case of a “solid” standard boundary. Then, an equivalent problem is studied in this bounded domain. To this end we use the Laplace-Fourier transform, the two-parameter Mittag-Leffler function and some properties of fractional derivatives.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"35K20(MSC2010)"},{"subitem_text_value":"26A33(MSC2010)"},{"subitem_text_value":"42A38(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2014-01-06"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Department of Mathematics, University of Pittsburgh at Greensburg"},{"subitem_text_value":"King Fahd University of Petroleum and Minerals, Department of Mathematics and Statistics"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ghanam, Ryad A."}],"nameIdentifiers":[{"nameIdentifier":"92412","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Malik, Nadeem A."}],"nameIdentifiers":[{"nameIdentifier":"92413","nameIdentifierScheme":"WEKO"}]},{"creatorNames":[{"creatorName":"Tatar, Nasser-eddine"}],"nameIdentifiers":[{"nameIdentifier":"92414","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-14"}],"displaytype":"detail","filename":"jms210104.pdf","filesize":[{"value":"636.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms210104.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/39991/files/jms210104.pdf"},"version_id":"d312592c-1d97-4e2d-b06c-f49b3b481e15"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Caputo fractional derivative","subitem_subject_scheme":"Other"},{"subitem_subject":"Hilfer fractional derivative","subitem_subject_scheme":"Other"},{"subitem_subject":"fractional diffusion problem","subitem_subject_scheme":"Other"},{"subitem_subject":"Mittag-Leffler function","subitem_subject_scheme":"Other"},{"subitem_subject":"artificial boundary condition","subitem_subject_scheme":"Other"},{"subitem_subject":"reduced equivalent problem","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Transparent Boundary Conditions for a Diffusion Problem Modified by Hilfer Derivative","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Transparent Boundary Conditions for a Diffusion Problem Modified by Hilfer Derivative"}]},"item_type_id":"4","owner":"1","path":["6887","6888"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-12-15"},"publish_date":"2015-12-15","publish_status":"0","recid":"39991","relation_version_is_last":true,"title":["Transparent Boundary Conditions for a Diffusion Problem Modified by Hilfer Derivative"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:14:49.940657+00:00"}