Controllability Criteria for Nonlinear Higher Order Fractional Delay Dynamical Systems with Impulses

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Authors

  • M. Sivabalan Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore - 641020, India Author
  • K. Sathiyanathan Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore - 641020, India Author

DOI:

https://doi.org/10.5890/DNC.2019.06.009

Abstract

This paper is concerned with the controllability of nonlinear higher order fractional delay with impulses, which involved Caputo derivatives of any different orders. A necessary and sufficient condition for the controllability of linear fractional delay dynamical systems with impulses has proved, and a sufficient condition for the corresponding nonlinear systems has obtained. Examples has given to verify the results.

References

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PublishedJune 2019

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Sivabalan, M., & Sathiyanathan, K. (2026). Controllability Criteria for Nonlinear Higher Order Fractional Delay Dynamical Systems with Impulses. Discontinuity, Nonlinearity, and Complexity, 8(2), 225-239. https://doi.org/10.5890/DNC.2019.06.009