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

Jiale Sheng, Wei Jiang, Denghao Pang and Sen Wang
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Jiale Sheng: School of Mathematical Sciences, Anhui University, Hefei 230601, China
Wei Jiang: School of Mathematical Sciences, Anhui University, Hefei 230601, China
Denghao Pang: School of Internet, Anhui University, Hefei 230601, China
Sen Wang: School of Mathematical Sciences, Anhui University, Hefei 230601, China

Mathematics, 2020, vol. 8, issue 12, 1-10

Abstract: 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.

Keywords: controllability; Mittag–Leffler kernel; nonlinear; fixed point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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