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Title
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On a final value problem for a nonlinear fractional pseudo-parabolic equation
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Type
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JournalPaper
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Keywords
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Final value problem, pseudo-parabolic eqaution, regularization, ill- posed problem, estimation.
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Abstract
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In this paper, we investigate a nal boundary value problem for a class of fractional with parameter pseudo-parabolic partial di erential equa- tions with nonlinear reaction term. For 0 < < 1; the solution is regularity- loss, we establish the well-posedness of solutions. In the case that > 1, it has a feature of regularity-gain. Then, the instability of a mild solution is proved. We introduce two methods to regularize the problem. With the help of the modi ed Lavrentiev regularization method and Fourier truncated regulariza- tion method, we propose the regularized solutions in the cases of globally or locally Lipschitzian source term. Moreover, the error estimates is established
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Researchers
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Nguyen Huy Tuan (Fourth Researcher), Zakia Hammouch (Third Researcher), Hossein Jafari (Second Researcher), Vo Van Au (First Researcher)
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