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Title
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Blowing-up solutions for time-fractional equations on a bounded domain
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Type
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JournalPaper
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Keywords
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Caputo derivative, time-fractional, generalized Kuramoto-Sivashinsky equation, Korpusov-Pletner-Sveshnikov equation, Cahn-Allen equation, Hoff equation, blow-up
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Abstract
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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.
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Researchers
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Xiao-Guang Yue (Fifth Researcher), Maamar Benbachir (Third Researcher), Mohammed K. A. Kaabar (Second Researcher), Abdelatif Boutiara (First Researcher), Mohammad Esmael Samei (Fourth Researcher)
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