Exact Controllability of Multi-Term Time-Fractional Differential System with Sequencing Techniques

Vikram Singh () and Dwijendra N. Pandey ()
Additional contact information
Vikram Singh: Indian Institute of Technology Roorkee
Dwijendra N. Pandey: Indian Institute of Technology Roorkee

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 1, 105-120

Abstract: Abstract In this paper, an abstract multi-term time-fractional differential system is considered and the existence, uniqueness and exact controllability results are investigated. In this theory, we use the notion of bounded integral contractor introduced by Altman to come up with a new set of sufficient conditions for the exact controllability by constructing a sequencing technique. Moreover, in this technique, we are not required to define induced inverse operator and Lipschitz continuity of nonlinear functions. Finally, an application is given to illustrate the obtained results.

Keywords: Exact controllabilitys; multi-term time-fractional differential system; (β; γj)-resolvent family; bounded integral contractor type operator; 26A33; 34A08; 34G20; 93B05 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-020-0387-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:51:y:2020:i:1:d:10.1007_s13226-020-0387-7

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-020-0387-7

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().