Attractivity and Ulam-Hyers stability results for fractional delay differential equations
Filomat, Tome 36 (2022) no. 17, p. 5707
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In this paper, we look into some results for the global attractivity and Ulam stability of solutions for fractional delay differential equations via Hilfer-Hadamard fractional derivative. The results are obtained by using Krasnoselskii's fixed point theorem and Banach contraction principle.
Classification :
A34A12, 26E50, 45G10
Keywords: Hilfer-Hadamard fractional derivative, Global attractivity, Existence, Hyers-Ulam stability, Delay differential equations
Keywords: Hilfer-Hadamard fractional derivative, Global attractivity, Existence, Hyers-Ulam stability, Delay differential equations
D Vivek; K Kanagarajan; E M Elsayed. Attractivity and Ulam-Hyers stability results for fractional delay differential equations. Filomat, Tome 36 (2022) no. 17, p. 5707 . doi: 10.2298/FIL2217707V
@article{10_2298_FIL2217707V,
author = {D Vivek and K Kanagarajan and E M Elsayed},
title = {Attractivity and {Ulam-Hyers} stability results for fractional delay differential equations},
journal = {Filomat},
pages = {5707 },
year = {2022},
volume = {36},
number = {17},
doi = {10.2298/FIL2217707V},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217707V/}
}
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