The controllability of nonlinear implicit fractional delay dynamical systems

Joice Nirmala, R. ; Balachandran, K.

International Journal of Applied Mathematics and Computer Science, Tome 27 (2017) no. 3, pp. 501-513.

Résumé

This paper is concerned with the controllability of nonlinear fractional delay dynamical systems with implicit fractional derivatives for multiple delays and distributed delays in control variables. Sufficient conditions are obtained by using the Darbo fixed point theorem. Further, examples are given to illustrate the theory.

Détail

Keywords: controllability, fractional delay, differential equation, Mittag-Leffler function, fixed point theorem
Mots-clés : sterowalność, opóźnienie ułamkowe, równanie różniczkowe, funkcja Mittag-Lefflera

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