An investigation on boundary controllability for Sobolev-type neutral evolution equations of fractional order in Banach space

Autor: Yong-Ki Ma, Kamalendra Kumar, Rohit Patel, Anurag Shukla, Kottakkaran Sooppy Nisar, Velusamy Vijayakumar
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 7, Pp 11687-11707 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022651?viewType=HTML
Popis: The main focus of this paper is on the boundary controllability of fractional order Sobolev-type neutral evolution equations in Banach space. We show our key results using facts from fractional calculus, semigroup theory, and the fixed point method. Finally, we give an example to illustrate the theory we have established.
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