2025/12/21
Mohammad Esmael Samei

Mohammad Esmael Samei

Academic rank: Associate Professor
ORCID: 0000-0002-5450-3127
Education: PhD.
H-Index:
Faculty: Faculty of Science
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E-mail: mesamei [at] basu.ac.ir
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Phone: 08131406263
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Research

Title
Blowing-up solutions for time-fractional equations on a bounded domain
Type
JournalPaper
Keywords
Caputo derivative, time-fractional, generalized Kuramoto-Sivashinsky equation, Korpusov-Pletner-Sveshnikov equation, Cahn-Allen equation, Hoff equation, blow-up
Year
2022
Journal Advances in Mechanical Engineering
DOI
Researchers Abdelatif Boutiara ، Mohammed K. A. Kaabar ، Maamar Benbachir ، Mohammad Esmael Samei ، Xiao-Guang Yue

Abstract

This paper proposes initial-boundary value problems for time-fractional analogs of Kuramoto-Sivashinsky, KorpusovPletner-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.