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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

Existence and Controllability Results for Higher Order Caputo Fractional Damping System with Impulses

Journal of Applied Nonlinear Dynamics 12(4) (2023) 609--630 | DOI:10.5890/JAND.2023.12.001

M. Tamilarasi$^1$, B. Radhakrishnan$^2$

$^1$ Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore - 641202, Tamil Nadu, India

$^2$ Department of Mathematics, PSG College of Technology, Coimbatore 641004, Tamil Nadu, India

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Abstract

This paper investigates the presence of mild solutions and controllability for higher order Caputo fractional damped differential systems with impulses. The general method of Laplace transform, Grammian matrix, and sequential approximation techniques are used to establish the controllability requirement for the linear and nonlinear fractional damped dynamical systems of higher order. At the end, an example is provided to validate the theoretical results.

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