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

Abdellatif Boutiara; Mohammed KA Kaabar; Maamar Benbachir; Mohammad Esmael Samei; Xiao-Guang Yue

doi:10.1177/16878132221130228

Advances in Mechanical Engineering (Oct 2022)

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

Abdellatif Boutiara,
Mohammed KA Kaabar,
Maamar Benbachir,
Mohammad Esmael Samei,
Xiao-Guang Yue

Affiliations

Abdellatif Boutiara: Laboratoire de Mathématiques et Sciences Appliquées, Université de Ghardaia, Ghardaia, Algérie
Mohammed KA Kaabar: Jabalia Camp, United Nations Relief and Works Agency, Palestinian Refugee Camp, Gaza Strip Jabalya, Palestine
Maamar Benbachir: Faculty of Sciences and Technology, Saad Dahlab University, Blida, Algeria
Mohammad Esmael Samei: Department of Mathematics, Faculty of Basic Science, Bu-Ali Sina University, Hamedan, Iran
Xiao-Guang Yue: CIICESI-ESTG, Politecnico do Porto, Felgueiras, Portugal

DOI: https://doi.org/10.1177/16878132221130228
Journal volume & issue: Vol. 14

Abstract

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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.

Published in Advances in Mechanical Engineering

ISSN: 1687-8132 (Print); 1687-8140 (Online)
Publisher: SAGE Publishing
Country of publisher: United Kingdom
LCC subjects: Technology: Mechanical engineering and machinery
Website: https://journals.sagepub.com/home/ade

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