AccScience Publishing / IJOCTA / Online First / DOI: 10.36922/ijocta.7118
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RESEARCH ARTICLE

Trajectory controllability of integro-differential system of fractional orders in Hilbert spaces

Urvashi Arora1 ,  Sachin Singh2 ,  V. Vijayakumar3 ,  Anurag Shukla4*
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1 Manhattan University, Manhattan College Pkwy, Bronx, New York, United States of America
2 Department of Electrical Engineering, IET Lucknow, India
3 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamilnadu, India
4 Department of Applied Sciences and Humanities, Rajkiya Engineering College Kannauj, Kannauj, India
IJOCTA, 7118 https://doi.org/10.36922/ijocta.7118
Received: 19 December 2024 | Revised: 6 May 2025 | Accepted: 7 May 2025 | Published online: 30 May 2025
© 2025 by the Author(s). This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
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Abstract

The trajectory controllability for fractional order semilinear integrodifferential systems of order ν ∈ (0, 1] and ν ∈ (1, 2] is the subject of this paper. Monotonicity is an important characteristic in many communications applications in which digital-to-analog converter circuits are used. Such applications can function in the presence of nonlinearity, but not in the presence of nonmonotonicity. Therefore, it becomes quite interesting to study a problem assuming the monotonicity of the nonlinear function. With the help of fractional calculus, adequate conditions have been developed to verify the trajectory controllability for fractional order semilinear integrodifferential system using the basics of monotone nonlinearity and coercivity. Finally, some examples are presented to demonstrate the viability of the acquired results.

Keywords
Trajectory controllability
Fractional order system
Integrodifferential system
Funding
None.
Conflict of interest
Anurag Shukla is an Editorial Board Member of this journal, but was not in any way involved in the editorial and peer-review process conducted for this paper, directly or indirectly. Separately, other authors declared that they have no known competing financial interests or personal relationships that could have influenced the work reported in this paper.
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An International Journal of Optimization and Control: Theories & Applications, Electronic ISSN: 2146-5703 Print ISSN: 2146-0957, Published by AccScience Publishing
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