Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Exact controllability of multi-term time-fractional differential system with sequencing techniques - MaRDI portal

Exact controllability of multi-term time-fractional differential system with sequencing techniques (Q1985918)

From MaRDI portal





scientific article; zbMATH DE number 7187881
Language Label Description Also known as
English
Exact controllability of multi-term time-fractional differential system with sequencing techniques
scientific article; zbMATH DE number 7187881

    Statements

    Exact controllability of multi-term time-fractional differential system with sequencing techniques (English)
    0 references
    0 references
    0 references
    7 April 2020
    0 references
    In this paper, the authors investigate the existence, uniqueness and exact controllability of an abstract multi-term time-fractional differential system. The results are established by using the notion of bounded integral contractor introduced by \textit{M. Altman} [Contractors and contractor directions: theory and applications. New York-Basel: Marcel Dekker, Inc. (1977; Zbl 0363.65045)] and ther is obtained a set of sufficient conditions for the exact controllability by constructing a sequencing technique. An example is provided to illustrate the theory.
    0 references
    exact controllability
    0 references
    multi-term time-fractional differential system
    0 references
    \(( \beta
    0 references
    \gamma_j)\)-resolvent family
    0 references
    bounded integral contractor type operator
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references