A study on the approximate controllability results of fractional stochastic integro-differential inclusion systems via sectorial operators

Kaliraj Kalimuthu; Kothandapani Muthuvel

doi:10.11121/ijocta.2023.1348

Authors

Kaliraj Kalimuthu Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, Tamil Nadu, India https://orcid.org/0000-0003-0902-3842
Kothandapani Muthuvel Department of Mathematics, Guru Nanak College, Chennai - 600 042, Tamil Nadu, India https://orcid.org/0009-0000-5358-2364

DOI:

https://doi.org/10.11121/ijocta.2023.1348

Keywords:

Fractional derivatives and integrals, Approximate controllability, Sectorial operators, Fixed point techniques, Fractional stochastic system

Abstract

The study deals with the findings of the outcome of the approximate controllability results of inclusion type fractional stochastic system in Banach space with the order of the fractional system varrho in (1,2). At first, we implement Bohnenblust-Karlin's fixed point technique to deduce the required conditions on which the fractional system with inital conditions is approximately controllable, and there by, we postulate the sufficient conditions for extending the obtained results to the system with nonlocal conditions.

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Author Biographies

Kaliraj Kalimuthu, Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, Tamil Nadu, India

Kalimuthu Kaliraj working as an Assistant Professor of Mathematics at Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chepauk, Chennai, Tamil Nadu State, India. His area of research topics are fractional calculus, Mathematical Biology, Control problems, and Mathematical Modeling. He completed his Ph. D. from Anna University, Chennai. He has published more than 40 research papers in Scopus/SCI-indexed journals.

Kothandapani Muthuvel, Department of Mathematics, Guru Nanak College, Chennai - 600 042, Tamil Nadu, India

Kothandapani Muthuvel received the B.Sc. and M.Sc. degree in mathematics from the University of Madras, Chennai in 2005 and 2007, respectively. He completed his M.Phil., degree in mathematics in 2009 at Ramanujan Institute for Advanced Study in Mathematics, University of Madras. Since 2013, he has been working as an assistant professor at the Department of Mathematics, Guru Nanak College, Chennai, India. His research interests focus on the relative controllability of the dynamical systems in fractional calculus.

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