TY - GEN
T1 - Existence, Uniqueness, and Approximate Controllability of Higher-Order Fractional Integrodifferential Systems
AU - Raja, Marimuthu Mohan
AU - Vijayakumar, V.
AU - Veluvolu, Kalyana C.
N1 - Publisher Copyright:
© 2025 IEEE.
PY - 2025
Y1 - 2025
N2 - This study looks at the approximate controllability of higher-order Caputo fractional integrodifferential (HOCFI) equations in Banach spaces with sectorial operators. The analysis begins with verifying the existence and uniqueness of mild solutions to the given system. The application of the Dunford-Pettis theorem to this framework provides approximate controllability outcomes. The approach utilizes fractional calculus, essential conditions, integrodifferential equations, and sectorial operators of type (P, η, β, κ), along with Banach's fixed point technique, to achieve theoretical findings. In addition, our analysis is extended to systems with nonlocal conditions. To illustrate the validity and relevance of the findings, a representative example is provided.
AB - This study looks at the approximate controllability of higher-order Caputo fractional integrodifferential (HOCFI) equations in Banach spaces with sectorial operators. The analysis begins with verifying the existence and uniqueness of mild solutions to the given system. The application of the Dunford-Pettis theorem to this framework provides approximate controllability outcomes. The approach utilizes fractional calculus, essential conditions, integrodifferential equations, and sectorial operators of type (P, η, β, κ), along with Banach's fixed point technique, to achieve theoretical findings. In addition, our analysis is extended to systems with nonlocal conditions. To illustrate the validity and relevance of the findings, a representative example is provided.
KW - Approximate controllability
KW - Fixed point techniques
KW - Fractional derivatives and integrals
KW - Mild solutions
KW - Sectorial operators
UR - https://www.scopus.com/pages/publications/105031776591
U2 - 10.1109/CACS67552.2025.11288130
DO - 10.1109/CACS67552.2025.11288130
M3 - Conference contribution
AN - SCOPUS:105031776591
T3 - 2025 International Automatic Control Conference, CACS 2025
BT - 2025 International Automatic Control Conference, CACS 2025
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2025 International Automatic Control Conference, CACS 2025
Y2 - 5 November 2025 through 8 November 2025
ER -