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

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

Abstract 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 quench...

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Bibliographic Details
Main Authors: Wannika Sawangtong, Panumart Sawangtong
Format: Article
Language:English
Published: SpringerOpen 2017-06-01
Series:Boundary Value Problems
Subjects:
quenching
fractional heat equation
Riemann-Liouville derivative
existence and uniqueness
Online Access:http://link.springer.com/article/10.1186/s13661-017-0830-9

Internet

http://link.springer.com/article/10.1186/s13661-017-0830-9

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