The controllability of nonlinear implicit fractional delay dynamical systems

• Autorzy: Joice Nirmala R. , Balachandran K.

Identyfikatory

DOI

10.1515/amcs-2017-0035

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

controllability; fractional delay; differential equation; Mittag-Leffler function; fixed point theorem

PL

sterowalność; opóźnienie ułamkowe; równanie różniczkowe; funkcja Mittag-Lefflera

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2017
• Tom: Vol. 27, no. 3
• Strony: 501--513
• Opis fizyczny: Bibliogr. 33 poz.

Twórcy

autor

Joice Nirmala R.

• Department of Mathematics, Bharathiar University, Coimbatore 641 046, India

autor

Balachandran K.

• Department of Mathematics, Bharathiar University, Coimbatore 641 046, India

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).