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In this paper, we would like to briefly introduce some applications of fractional derivatives in the fields of heat and fluid-flows. However, our main focus is on study an inverse… Click to show full abstract
In this paper, we would like to briefly introduce some applications of fractional derivatives in the fields of heat and fluid-flows. However, our main focus is on study an inverse source problem for the Rayleigh-Stokes problem. The problem is severely ill-posed. We verify the ill-posedness of Problem 1, applying the modified Lavrentiev to construct a regularization from the exact data. After that, we established the convergent rate between the exact solution and its approximation. Furthermore, we have the estimate in Lq space.
Keywords:
problem;
unknown source;
identifying unknown;
rayleigh stokes;
stokes problem
Journal Title: Thermal Science
Year Published: 2023
Link to full text (if available)
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Journal Title: Thermal Science
Year Published: 2023
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!