10.1007/s40096-022-00493-x

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

  • K. Kavitha1,
  • V. Vijayakumar*1,
  1. Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, 632 014, IN

Published in Issue 2022-10-15

How to Cite

Kavitha, K., & Vijayakumar, V. (2022). A discussion concerning approximate controllability results for Hilfer fractional evolution equations with time delay. Mathematical Sciences, 18(2 (June 2024). https://doi.org/10.1007/s40096-022-00493-x
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Abstract

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.

Keywords

  • Hilfer fractional derivative,
  • Time delay,
  • Mild solutions,
  • Fixed point techniques,
  • Sequential approach,
  • Nonlocal condition

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