Hyers-Ulam Stability of Hadamard Fractional ItˆO-Doob Stochastic Differential Equations

Kahouli, Omar; Makhlouf, Abdellatif Ben; Mchiri, Lassaad

doi:10.2139/ssrn.4244561

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Ulam-hyers Stability1

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2023

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“…there is a solution Using Hölder inequality, Theorem 7.1 in Mao [22], and assumptions  1 - 2 , we have…”

Section: Ulam-hyers Stabilitymentioning

confidence: 99%

Ulam–Hyers stability of fractional Itô–Doob stochastic differential equations

Mchiri

2023

Math Methods in App Sciences

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This article is devoted to prove the existence and uniqueness (EU) of solution of fractional Itô–Doob stochastic differential equations (FIDSDE) with order by using the fixed point technique (FPT). We analyze the Ulam–Hyers stability (UHS) of FIDSDE by using the Gronwall inequality (GI) and the stochastic analysis techniques. We present an application of our results by two theoretical examples.

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“…there is a solution Using Hölder inequality, Theorem 7.1 in Mao [22], and assumptions  1 - 2 , we have…”

Section: Ulam-hyers Stabilitymentioning

confidence: 99%