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

Tran Bao Ngoc; Yong Zhou; Donal O'Regan; Nguyen Huy Tuan

doi:10.1016/j.aml.2020.106373

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

Tran Bao Ngoc, Yong Zhou, Donal O'Regan, Nguyen Huy Tuan

Mathematics

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24 Citations (Scopus)

Abstract

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.

Original language	English
Article number	106373
Journal	Applied Mathematics Letters
Volume	106
DOIs	https://doi.org/10.1016/j.aml.2020.106373
Publication status	Published - Aug 2020

Keywords

Regularity estimates
Riemann–Liouville fractional derivative
Well-posedness
fractional diffusion equation

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title = "On a terminal value problem for pseudoparabolic equations involving Riemann–Liouville fractional derivatives",

abstract = "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.",

keywords = "Regularity estimates, Riemann–Liouville fractional derivative, Well-posedness, fractional diffusion equation",

author = "Ngoc, \{Tran Bao\} and Yong Zhou and Donal O'Regan and Tuan, \{Nguyen Huy\}",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2020",

month = aug,

doi = "10.1016/j.aml.2020.106373",

language = "English",

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journal = "Applied Mathematics Letters",

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T1 - On a terminal value problem for pseudoparabolic equations involving Riemann–Liouville fractional derivatives

AU - Ngoc, Tran Bao

AU - Zhou, Yong

AU - O'Regan, Donal

AU - Tuan, Nguyen Huy

PY - 2020/8

Y1 - 2020/8

N2 - 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.

AB - 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.

KW - Regularity estimates

KW - Riemann–Liouville fractional derivative

KW - Well-posedness

KW - fractional diffusion equation

UR - https://www.scopus.com/pages/publications/85083192664

U2 - 10.1016/j.aml.2020.106373

DO - 10.1016/j.aml.2020.106373

M3 - Article

SN - 0893-9659

VL - 106

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 106373

ER -

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

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Keywords

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