Time-fractional quenching problem: Blow-up of $D_{t}^{\alpha}u$ at the quenching point

Nurdan Kar

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arXiv · 2306.07508

Time-fractional quenching problem: Blow-up of $D_{t}^{\alpha}u$ at the quenching point

Nurdan Kar

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Abstract

In this paper, we establish the occurrence of blow-up in the time-fractional term at the quenching point. By demonstrating that the quenching points are contained within a compact subset of the designated spatial interval, we employ this finding to prove the blow-up of the Caputo fractional time-derivative at the quenching point.

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Nurdan Kar. 2023-06-13. Time-fractional quenching problem: Blow-up of $D_{t}^{\alpha}u$ at the quenching point. https://arxiv.org/abs/2306.07508

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