Geodesic
Existence and stability analysis of solution for fractional delay differential equations
Filomat, Tome 37 (2023) no. 6, p. 1869

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DOI

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.
DOI : 10.2298/FIL2306869D
Classification : 26A33, 34A12, 47H10
Keywords: Fractional-order, Delay differential equation, Existence and uniqueness, Hyers-Ulam stability 
Faruk Develi; Okan Duman. Existence and stability analysis of solution for fractional delay differential equations. Filomat, Tome 37 (2023) no. 6, p. 1869 . doi: 10.2298/FIL2306869D
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     title = {Existence and stability analysis of solution for fractional delay differential equations},
     journal = {Filomat},
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     year = {2023},
     volume = {37},
     number = {6},
     doi = {10.2298/FIL2306869D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2306869D/}
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