Affiliation:
1. Department of Mathematics, Yildiz Technical University, Istanbul, Turkey
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.
Publisher
National Library of Serbia
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