Geodesic
Hyers-Ulam stability of Hadamard fractional stochastic differential equations
Filomat, Tome 37 (2023) no. 30, p. 10219

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DOI

The current article is used to investigate the Hyers-Ulam stability (HUS) of Hadamard stochastic fractional differential equations (HSFDE) by using a version of some fixed point theorem (FPT), a technical lemma and some classical stochastic calculus tools. To show the interest of our results, we present two examples. In this manner, we generalize some recent interesting results.
DOI : 10.2298/FIL2330219B
Classification : 26A33, 60H10, 34D20
Keywords: Stochastic differential equations, Hadamard fractional derivative, Ulam stability 
Abdellatif Ben Makhlouf; Lassaad Mchiri; Mohamed Rhaima; Jihen Sallay. Hyers-Ulam stability of Hadamard fractional stochastic differential equations. Filomat, Tome 37 (2023) no. 30, p. 10219 . doi: 10.2298/FIL2330219B
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     author = {Abdellatif Ben Makhlouf and Lassaad Mchiri and Mohamed Rhaima and Jihen Sallay},
     title = {Hyers-Ulam stability of {Hadamard} fractional stochastic differential equations},
     journal = {Filomat},
     pages = {10219 },
     year = {2023},
     volume = {37},
     number = {30},
     doi = {10.2298/FIL2330219B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2330219B/}
}
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