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

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

Journal article

Peer reviewed

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

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

Applied mathematics letters, Vol.106, p.106373

08/2020

DOI: https://doi.org/10.1016/j.aml.2020.106373

Abstract

fractional diffusion equation

Regularity estimates

Riemann–Liouville fractional derivative

Well-posedness

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.

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Title: On a terminal value problem for pseudoparabolic equations involving Riemann–Liouville fractional derivatives
Creators - without role: Tran Bao Ngoc - Duy Tan University
Yong Zhou - Macau University of Science and Technology
Donal O’Regan - Ollscoil na Gaillimhe – University of Galway
Nguyen Huy Tuan - Ton Duc Thang University
Publication Details: Applied mathematics letters, Vol.106, p.106373
Publisher: Elsevier Ltd
Identifiers: 9936645708331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article