Controllability of Nonlinear Fractional Dynamical Systems with a Mittag–Leffler Kernel

Autor:	Jiale Sheng, Wei Jiang, Denghao Pang, Sen Wang
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	controllability Mittag–Leffler kernel nonlinear fixed point theorem Mathematics QA1-939
Zdroj:	Mathematics, Vol 8, Iss 12, p 2139 (2020)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math8122139
Popis:	This paper is concerned with controllability of nonlinear fractional dynamical systems with a Mittag–Leffler kernel. First, the solution of fractional dynamical systems with a Mittag–Leffler kernel is given by Laplace transform. In addition, one necessary and sufficient condition for controllability of linear fractional dynamical systems with Mittag–Leffler kernel is established. On this basis, we obtain one sufficient condition to guarantee controllability of nonlinear fractional dynamical systems with a Mittag–Leffler kernel by fixed point theorem. Finally, an example is given to illustrate the applicability of our results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/26711741cb44447b8ac4d6f79ae84aca Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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