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Existence and regularity of inverse problem for the nonlinear fractional Rayleigh‐Stokes equations
Journal article   Peer reviewed

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

Ngoc Tran Bao, Luc Nguyen Hoang, Au Vo Van, Huy Tuan Nguyen and Yong Zhou
Mathematical methods in the applied sciences, Vol.44(3), pp.2532-2558
02/2021
DOI: https://doi.org/10.1002/mma.6162

Abstract

backward problem existence Fractional Rayleigh‐Stokes equation regularity
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.

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