A single quenching point for a fractional heat equation based on the Riemann-Liouville fractional derivative with a nonlinear concentrate source

作者：Sawangtong Wannika; Sawangtong Panumart^*

来源：Boundary Value Problems, 2017, 2017(1): 97.

DOI：10.1186/s13661-017-0830-9

• quenching
• fractional heat equation
• Riemann-Liouville derivative
• existence and uniqueness

This paper aims to study the quenching problem in a fractional heat equation with the Riemann-Liouville fractional derivative. The existence and uniqueness of a solution for the problem are obtained by transforming the problem to an equivalent integral equation. The condition for the quenching occurrence in a finite time is given. Furthermore, the quenching point set is shown.

• 出版日期2017-6-29