Existence and regularity of inverse problem for the nonlinear fractional Rayleigh-Stokes equations

Authors: Nguyễn Hoàng Lực, Nguyễn Huy Tuấn, Tran Bao Ngoc, Võ Văn Âu, Yong Zhou, Nguyễn Huy Tuấn,

https://doi.org/10.1002/mma.6162

Publisher, magazine: ,

Publication year: 2020

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Abstract

This paper investigates an inverse problem for fractional Rayleigh-Stokes equations with nonlinear source. The fractional derivative in time is taken in the sense of Riemann-Liouville. The proposed problem has many applications in some non-Newtonian fluids. We obtain some results on the existence and regularity of mild solutions.

Tags: Fractional Rayleigh-Stokes equation, backward problem, existence, regularity