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ISSN: 2475-4811 (print)
ISSN: 2475-482X (online)
Journal of Vibration Testing and System Dynamics

C. Steve Suh (editor), Pawel Olejnik (editor),

Xianguo Tuo (editor)

Pawel Olejnik (editor)

Lodz University of Technology, Poland

Email: pawel.olejnik@p.lodz.pl

C. Steve Suh (editor)

Texas A&M University, USA

Email: ssuh@tamu.edu

Xiangguo Tuo (editor)

Sichuan University of Science and Engineering, China

Email: tuoxianguo@suse.edu.cn

Sectorial Operator Approach to Controllability of Neutral Fractional Integro-Differential Equations in Sobolev Spaces

Journal of Vibration Testing and System Dynamics 10(3) (2026) 233--245 | DOI:10.5890/JVTSD.2026.09.002

K. Kaliraj$^1$, E. Thilakraj$^1$, M. Manjula$^1$, Kamalendra Kumar$^2$

$^1$ Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, Tamil Nadu, India

$^2$ Department of Basic Science, Shri Ram Murti Smarak College of Engineering & Technology, Bareilly, U.P., India

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Abstract

We have explored sufficient conditions for the controllability of fractional-order Sobolev-type neutral functional integro-differential equations involving the Atangana-Baleanu-Caputo (ABC) derivative. Our approach integrates key concepts from semigroup theory, the contraction mapping principle, measures of noncompactness, and standard fixed point techniques. The theoretical results are further illustrated through a concrete example, validating the applicability of the proposed framework.

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