RELATIVE CONTROLLABILITY RESULTS FOR NONLINEAR HIGHER ORDER FRACTIONAL DELAY INTEGRODIFFERENTIAL SYSTEMS WITH TIME VARYING DELAY IN CONTROL

被引：1

作者：

Sivabalan, M. ^{[1
]}

Sathiyanathan, K. ^{[1
]}

机构：

[1] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期

关键词：

Fractional delay integrodifferential equation; relative controllability; Laplace transform; Mittag-Leffler matrix function; Schaefer's fixed point theorem; MULTIPLE DELAYS; CALCULUS;

D O I：

10.31801/cfsuasmas.486183

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：889 / 906

页数：18

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