Abstract
In this paper, we study the existence and uniqueness of solutions for nabla fractional systems. By using the properties of bijective functions, we obtain a necessary and sufficient condition ensuring the existence and uniqueness of solutions for a class of fractional discrete systems. Furthermore, we derive two sufficient conditions guaranteeing the existence of solutions by means of a nonlinear functional analysis method. In addition, the above conclusions are extended to high-dimensional delayed systems. Finally, two examples are given to illustrate the validity of our results.
Funder
National Natural Science Foundation of China
Scientific Research Programmes of Colleges in Xinjiang
Open Project of Key Laboratory of Applied Mathematics of Xinjiang Province
Subject
Statistics and Probability,Statistical and Nonlinear Physics,Analysis