Open AccessRotational periodic solutions for fractional iterative systems
Author(s) -
Rui Wu,
Yi Cheng,
Ravi P. Agarwal
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021651
Subject(s) - uniqueness , mathematics , nonlinear system , fixed point theorem , iterative method , term (time) , schauder fixed point theorem , fractional calculus , set (abstract data type) , mathematical analysis , fixed point , mathematical optimization , picard–lindelöf theorem , computer science , physics , quantum mechanics , programming language
In this paper, we devoted to deal with the rotational periodic problem of some fractional iterative systems in the sense of Caputo fractional derivative. Under one sided-Lipschtiz condition on nonlinear term, the existence and uniqueness of solution for a fractional iterative equation is proved by applying the Leray-Schauder fixed point theorem and topological degree theory. Furthermore, the well posedness for a nonlinear control system with iteration term and a multivalued disturbance is established by using set-valued theory. The existence of solutions for a iterative neural network system is demonstrated at the end.