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A discussion concerning approximate controllability results for Hilfer fractional evolution equations with time delay

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Abstract

The existence and approximate controllability outcomes for Hilfer fractional differential equations are investigated in this study. We study the existence results from fractional operations and Banach’s fixed point approach. Using the sequential approach, we can show that fractional control systems with time delays are approximately controllable. An interesting example has also been given to prove the main results.

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  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, 632 014, India

    K. Kavitha & V. Vijayakumar

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  1. K. Kavitha
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  2. V. Vijayakumar
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Kavitha, K., Vijayakumar, V. A discussion concerning approximate controllability results for Hilfer fractional evolution equations with time delay. Math Sci 18, 195–203 (2024). https://doi.org/10.1007/s40096-022-00493-x

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