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

Authors : M Sivabalan, K Sathiyanathan

Pages : 889-906

Doi:10.31801/cfsuasmas.486183

View : 32 | Download : 9

Publication Date : 2019-02-01

Article Type : Research Paper

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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