Remarks on the Systems of Semilinear Fractional Rayleigh-Stokes Equation | Zendy

Le Dinh Long | Zendy

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Remarks on the Systems of Semilinear Fractional Rayleigh-Stokes Equation

Author(s) -

Le Dinh Long

Publication year - 2021

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2021/6880435

Subject(s) - uniqueness , mathematics , initial value problem , stability (learning theory) , mathematical analysis , banach space , cauchy problem , rayleigh scattering , physics , computer science , machine learning , optics

In this paper, we study the Cauchy problem for a system of Rayleigh-Stokes equations. In this system of equations, we use derivatives in the classical Riemann-Liouville sense. This system has many applications in some non-Newtonian fluids. We obtained results for the existence, uniqueness, and frequency of the solution. We discuss the stability of the solutions and find the solution spaces. Our main technique is to use the Banach mapping theorem combined with some techniques in Fourier analysis.

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