Initial-boundary value problem for a fractional heat equation on an interval

被引：1

作者：

Pena, Y. Perez ^{[1
]}

Sanchez, J. Ortiz ^{[1
]}

Hernandez, F. J. Ariza ^{[1
]}

Alejandre, M. P. Arciga ^{[1
]}

机构：

[1] Univ Autonoma Guerrero, Fac Matemat, Chilpancingo 39087, Guerrero, Mexico

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2023年 / 88卷 / 04期

关键词：

Lax pairs; fractional heat equation; Riemann-Liouville fractional derivative; NONLINEAR SCHRODINGER-EQUATION;

D O I：

10.1093/imamat/hxad029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a Dirichlet problem for a fractional heat equation, with spacial fractional derivative in the sense of Riemann-Liouville on a finite interval. The main ideas of Fokas method is employed, where the Lax pairs are used to obtain an integral representation of solutions.

引用

页码：632 / 643

页数：12

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