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

DOI10.1002/mma.6162zbMath1472.35448OpenAlexW3001508605MaRDI QIDQ5003984

Nguyen Huy Tuan, Au Vo van, Ngoc Tran Bao, Yong Zhou, Luc Nguyen Hoang

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6162

zbMATH Keywords

regularityexistencebackward problemfractional Rayleigh-Stokes equation

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Numerical solution to inverse problems in abstract spaces (65J22) Fractional partial differential equations (35R11)

Related Items (14)

On Hyers-Ulam stability of a multi-order boundary value problems via Riemann-Liouville derivatives and integrals ⋮ On Ulam-Hyers-Rassias stability of a generalized Caputo type multi-order boundary value problem with four-point mixed integro-derivative conditions ⋮ Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem ⋮ A nonlinear fractional Rayleigh-Stokes equation under nonlocal integral conditions ⋮ On regularity and stability for a class of nonlocal evolution equations with nonlinear perturbations ⋮ On stability for semilinear generalized Rayleigh-Stokes equation involving delays ⋮ Final value problem for Rayleigh-Stokes type equations involving weak-valued nonlinearities ⋮ A mixed nonlinear time-fractional Rayleigh-Stokes equation ⋮ Some well‐posed results on the time‐fractional Rayleigh–Stokes problem with polynomial and gradient nonlinearities ⋮ On a fractional Rayleigh–Stokes equation driven by fractional Brownian motion ⋮ On global solvability and regularity for generalized Rayleigh-Stokes equations with history-dependent nonlinearities ⋮ Filter regularization method for inverse source problem of the Rayleigh-Stokes equation ⋮ Advances in solving conformable nonlinear partial differential equations and new exact wave solutions for Oskolkov‐type equations ⋮ An inverse source problem for generalized Rayleigh-Stokes equations involving superlinear perturbations

This page was built for publication: Existence and regularity of inverse problem for the nonlinear fractional Rayleigh‐Stokes equations