DEGENERATE DISTRIBUTED CONTROL SYSTEMS WITH FRACTIONAL TIME DERIVATIVE

DEGENERATE DISTRIBUTED CONTROL SYSTEMS WITH FRACTIONAL TIME DERIVATIVE

The existence of a unique strong solution for the Cauchy problem to semilinear nondegenerate fractional differential equation and for the generalized Showalter–Sidorov problem to semilinear fractional differential equation with degenerate operator at the Caputo derivative in Banach spaces is proved....

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Bibliographic Details
Main Author: Marina V. Plekhanova
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2016-11-01
Series:Ural Mathematical Journal
Subjects:
Fractional dierential calculus, Caputo deivative, Mittag-Leer function, Partial dierential equation, Degenerate evolution equation, Optimal control, Fractional viscoelastic fluid
Online Access:https://umjuran.ru/index.php/umj/article/view/48
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