Relative controllability results for nonlinear higher order fractional delay integrodifferential systems with time varying delay in control

Year 2019, Volume: 68 Issue: 1, 889 - 906, 01.02.2019

M. Sivabalan K. Sathiyanathan

https://doi.org/10.31801/cfsuasmas.486183

Cited By: 2

Abstract

This paper is concerned with the controllability of nonlinear higher order fractional delay integrodifferential equations with time varying delay in control, which involved Caputo derivatives of any different orders. A formula for the solution expression of the system is derived by using Laplace transform. A necessary and sufficient condition for the relative controllability of linear fractional delay dynamical systems with time varying delays in control is proved, and a sufficient condition for the corresponding nonlinear integrodifferential equation has obtained. Examples has given to verify the results.

Keywords

Fractional delay integrodifferential equation, relative controllability, Laplace transform, Mittag-Leffler matrix function, Schaefer's fixed point theorem

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