{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:36:58Z","timestamp":1747190218646,"version":"3.40.5"},"reference-count":24,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,5,5]],"date-time":"2020-05-05T00:00:00Z","timestamp":1588636800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,5,5]]},"abstract":"<jats:p>In this paper, we consider the nonlinear inverse-time heat problem with a conformable derivative concerning the time variable. This problem is severely ill posed. A new method on the modified integral equation based on two regularization parameters is proposed to regularize this problem. Numerical results are presented to illustrate the efficiency of the proposed method.<\/jats:p>","DOI":"10.1155\/2020\/4143930","type":"journal-article","created":{"date-parts":[[2020,5,5]],"date-time":"2020-05-05T23:49:31Z","timestamp":1588722571000},"page":"1-15","source":"Crossref","is-referenced-by-count":0,"title":["Two-Parameter Regularization Method for a Nonlinear Backward Heat Problem with a Conformable Derivative"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8822-1224","authenticated-orcid":true,"given":"Vu","family":"Ho","sequence":"first","affiliation":[{"name":"Faculty of Mathematical Economics, Banking University of Ho Chi Minh City, Ho Chi Minh City, Vietnam"}]},{"given":"Donal","family":"O\u2019Regan","sequence":"additional","affiliation":[{"name":"Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4603-4682","authenticated-orcid":true,"given":"Hoa Ngo","family":"Van","sequence":"additional","affiliation":[{"name":"Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam"},{"name":"Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam"}]}],"member":"311","reference":[{"year":"1977","key":"1"},{"year":"1984","key":"2"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.08.040"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1093\/imamat\/hxp026"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1515\/jip-2012-0046"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1080\/01630569808816834"},{"key":"7","first-page":"1","volume":"84","year":"2008","journal-title":"Electronic Journal of Differential Equations"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2009.02.092"},{"key":"9","first-page":"1","volume":"51","year":"2007","journal-title":"Electronic Journal of Differential Equations"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.2478\/s12175-012-0056-3"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1186\/s13661-017-0750-8"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2017.11.036"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1007\/s11784-017-0429-x"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2014.01.002"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1515\/math-2015-0081"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2014.10.016"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1063\/1.4922018"},{"key":"18","first-page":"187","volume":"4","year":"2014","journal-title":"American Journal of Computational and Applied Mathematics"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2015.04.049"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2016.03.032"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1080\/17455030.2016.1205237"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1515\/ausm-2015-0009"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.spl.2017.01.012"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1515\/math-2018-0084"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/4143930.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/4143930.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/4143930.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,5]],"date-time":"2020-05-05T23:49:36Z","timestamp":1588722576000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/4143930\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,5,5]]},"references-count":24,"alternative-id":["4143930","4143930"],"URL":"https:\/\/doi.org\/10.1155\/2020\/4143930","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2020,5,5]]}}}