{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,30]],"date-time":"2026-04-30T07:04:06Z","timestamp":1777532646187,"version":"3.51.4"},"reference-count":18,"publisher":"SAGE Publications","issue":"10","license":[{"start":{"date-parts":[[2022,10,1]],"date-time":"2022-10-01T00:00:00Z","timestamp":1664582400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Advances in Mechanical Engineering"],"published-print":{"date-parts":[[2022,10]]},"abstract":"<jats:p>This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, Korpusov-Pletner-Sveshnikov, Cahn-Allen, and Hoff equations due to a bounded domain. Adequate conditions for the blowing-up of solutions in limited time of previously mentioned conditions are displayed. The Pohozhaev nonlinear capacity strategy is considered. Illustrative examples are given for each of the investigated equations.<\/jats:p>\n                  <jats:p>(2010) Mathematics Subject Classifications: 34A08; 34B25; 34B15.<\/jats:p>","DOI":"10.1177\/16878132221130228","type":"journal-article","created":{"date-parts":[[2022,10,20]],"date-time":"2022-10-20T03:31:39Z","timestamp":1666236699000},"page":"168781322211302","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":4,"title":["Blowing-up solutions for time-fractional equations on a bounded domain"],"prefix":"10.1177","volume":"14","author":[{"given":"Abdellatif","family":"Boutiara","sequence":"first","affiliation":[{"name":"Laboratoire de Math\u00e9matiques et Sciences Appliqu\u00e9es, Universit\u00e9 de Ghardaia, Ghardaia, Alg\u00e9rie"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2260-0341","authenticated-orcid":false,"given":"Mohammed KA","family":"Kaabar","sequence":"additional","affiliation":[{"name":"Jabalia Camp, United Nations Relief and Works Agency, Palestinian Refugee Camp, Gaza Strip Jabalya, Palestine"}]},{"given":"Maamar","family":"Benbachir","sequence":"additional","affiliation":[{"name":"Faculty of Sciences and Technology, Saad Dahlab University, Blida, Algeria"}]},{"given":"Mohammad Esmael","family":"Samei","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan, Iran"}]},{"given":"Xiao-Guang","family":"Yue","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Engineering, European University Cyprus, Nicosia, Cyprus"},{"name":"CIICESI-ESTG, Politecnico do Porto, Felgueiras, 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