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.
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页数：9
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