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SAGE Publications, Advances in Mechanical Engineering, 10(14), p. 168781322211302, 2022

DOI: 10.1177/16878132221130228

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Blowing-up solutions for time-fractional equations on a bounded domain

Journal article published in 2022 by Abdellatif Boutiara, Mohammed Ka Kaabar ORCID, Maamar Benbachir, Mohammad Esmael Samei, Xiao-Guang Yue
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

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. (2010) Mathematics Subject Classifications: 34A08; 34B25; 34B15.