Controllability of Impulsive Damped Fractional Order Systems Involving State Dependent Delay

Authors

  • Arthi G. Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India https://orcid.org/0000-0002-6688-4609
  • Vaanmathi M. Department of Mathematics, PSGR Krishnammal College for Women, Coimbatore 641004, India

DOI:

https://doi.org/10.37256/cm.5220242718

Keywords:

fractional damped system, impulsive system, state dependent delay, fixed point theorem, controllability

Abstract

In this article, the concept of controllability on fractional order impulsive systems involving state dependent delay and damping behavior is analysed by utilizing Caputo fractional derivative. The main motivation is to derive the sufficient conditions for the controllability of the considered systems. Based on the Laplace transform and inverse Laplace transform, the solution of fractional-order dynamical systems are obtained. The results are established by utilizing basic ideas of fractional calculus, Mittag-Leffler function and Banach fixed point theorem. Finally, an application is provided to illustrate the derived result.

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Published

2024-11-11

How to Cite

1.
G. A, M. V. Controllability of Impulsive Damped Fractional Order Systems Involving State Dependent Delay. Contemp. Math. [Internet]. 2024 Nov. 11 [cited 2024 Dec. 4];5(4):4921-33. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2718