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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10083
Title: Controllability of fractional system of order ρ ∈ (1,2] with nonlinear term having integral contractor
Authors: Arora U.
Sukavanam, Nagarajan
Published in: IMA Journal of Mathematical Control and Information
Abstract: The main objective of this article is to provide sufficient conditions for the exact controllability of fractional order semilinear system of order Ï âˆˆ (1,2] when the nonlinear term is not Lipschitz continuous. Here the nonlinear term is assumed to have an integral contractor which is a weaker condition than Lipschitz condition. The existence and uniqueness of the mild solution for the fractional order semilinear system is proved using an iterative approach. Finally, controllability results are established under the assumption that the corresponding linear system is exactly controllable. © The authors 2017.
Citation: IMA Journal of Mathematical Control and Information (2019), 36(1): 271-283
URI: https://doi.org/10.1093/imamci/dnx044
http://repository.iitr.ac.in/handle/123456789/10083
Issue Date: 2019
Publisher: Oxford University Press
Keywords: exact controllability
fractional order system
integral contractor
mild solution
ISSN: 2650754
Author Scopus IDs: 9637637300
12804420600
Author Affiliations: Arora, U., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
Sukavanam, N., Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, India
Funding Details: The first author would like to thank the Ministry of Human Resource and Development (MHR-02-23-200-304) India for financial support to carry out her research work.
Corresponding Author: Arora, U.; Department of Mathematics, Indian Institute of Technology RoorkeeIndia; email: urvashiaroraiitr@gmail.com
Appears in Collections:Journal Publications [MA]

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