Existence and stability analysis of solution for fractional delay differential equations
Classical Analysis and ODEs
2021-10-26 v1 Dynamical Systems
Abstract
In this article, we give some results for fractional-order delay differential equations. In the first result, we prove the existence and uniqueness of solution by using Bielecki norm effectively. In the second result, we consider a constant delay form of this problem. Then we apply Burton's method to this special form to prove that there is only one solution. Finally, we prove a result regarding the Hyers-Ulam stability of this problem. Moreover, in these results, we omit the conditions for contraction constants seen in many papers.
Keywords
Cite
@article{arxiv.2110.12931,
title = {Existence and stability analysis of solution for fractional delay differential equations},
author = {Faruk Develi and Okan Duman},
journal= {arXiv preprint arXiv:2110.12931},
year = {2021}
}