Geodesic
Hyers-Ulam stability of fractional stochastic differential equations with random impulse
S. Varshini1 ; K. Banupriya2 ; K. Ramkumar2 ; K. Ravikumar1 ; Dumitru Baleanu3 ; S. Varshini ; K. Banupriya ; K. Ramkumar ; K. Ravikumar ; Dumitru Baleanu
1Department of Mathematics, PSG College of Arts and Science, Coimbatore, India
2Department of Mathematics with Computer Applications, PSG College of Arts and Science, Coimbatore, India
3Department of Mathematics, Cankaya University, Ankara, Turkey
Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 4, pp. 351-364 
S. Varshini; K. Banupriya; K. Ramkumar; K. Ravikumar; Dumitru Baleanu; S. Varshini; K. Banupriya; K. Ramkumar; K. Ravikumar; Dumitru Baleanu. Hyers-Ulam stability of fractional stochastic differential equations with random impulse. Acta mathematica Universitatis Comenianae, Tome 91 (2022) no. 4, pp. 351-364. http://geodesic.mathdoc.fr/item/AMUC_2022_91_4_a5/
@article{AMUC_2022_91_4_a5,
     author = {S. Varshini and K. Banupriya and K. Ramkumar and K. Ravikumar and Dumitru Baleanu and S. Varshini and K. Banupriya and K. Ramkumar and K. Ravikumar and Dumitru Baleanu},
     title = { Hyers-Ulam stability of fractional stochastic differential equations with random impulse},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {351--364},
     year = {2022},
     volume = {91},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2022_91_4_a5/}
}
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Voir la notice de l'article provenant de la source Comenius University

The goal of this study is to derive a class of random impulsive fractional stochastic differential equations with finite delay that are of Caputo-type. Through certain constraints, the existence of the mild solution of the aforementioned system are acquired by Kransnoselskii's fixed point theorem. Furthermore, through Ito isometry and Gronwall's inequality, the Hyers-Ulam stability of the reckoned system is evaluated using Lipschitz condition.