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- Title
Necessary and Sufficient Conditions for Existence and Uniqueness of Solutions to Nabla Fractional Systems.
- Authors
Yang, Jikai; Li, Hongli; Zhang, Long
- 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.
- Subjects
NONLINEAR functional analysis; BIJECTIONS; FUNCTIONAL analysis; DISCRETE systems
- Publication
Fractal & Fractional, 2022, Vol 6, Issue 12, p723
- ISSN
2504-3110
- Publication type
Article
- DOI
10.3390/fractalfract6120723