On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives

被引：19

作者：

Tran Bao Ngoc ^{[1
]}

Zhou, Yong ^{[2
,3
]}

O'Regan, Donal ^{[4
]}

Nguyen Huy Tuan ^{[5
]}

机构：

[1] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam

[2] Macau Univ Sci & Technol, Fac Informat Technol, Macau 999078, Peoples R China

[3] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

[5] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 106卷

关键词：

Riemann-Liouville fractional derivative; fractional diffusion equation; Well-posedness; Regularity estimates; GLOBAL EXISTENCE; BACKWARD PROBLEM; BLOW-UP; DIFFUSION EQUATION; TIME; CALCULUS;

D O I：

10.1016/j.aml.2020.106373

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the terminal value problem for pseudo-parabolic equations with Riemann-Liouville fractional derivatives, from a given final value and we investigate the existence (and regularity) of mild solutions. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：9

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