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

Authors: Tran Bao Ngoc, Nguyễn Huy Tuấn, Donal O'Regan, Yong Zhou, Nguyễn Huy Tuấn, Donal O’Regan,

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

Publisher, magazine: ,

Publication year: 2020

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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.

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