Existence, uniqueness and matrix-valued fuzzy Mittag–Leffler–Hypergeometric–Wright stability for $$\mathfrak {P}$$-Hilfer fractional differential equations in matrix-valued fuzzy Banach space

Aderyani, Safoura Rezaei; Saadati, Reza; Allahviranloo, Tofigh

doi:10.1007/s40314-022-01935-x

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Introduction and Mathematical Preliminaries1

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2023

2024

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Cited by 10 publications

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“…In this work, we present the FP technique, which is the second most popular tool for proving the stability of functional equations [22,23].…”

Section: Introduction and Mathematical Preliminariesmentioning

confidence: 99%

Fuzzy Mittag–Leffler–Hyers–Ulam–Rassias Stability of Stochastic Differential Equations

2023

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Stability is the most relevant property of dynamical systems. The stability of stochastic differential equations is a challenging and still open problem. In this article, using a fuzzy Mittag–Leffler function, we introduce a new fuzzy controller function to stabilize the stochastic differential equation (SDE) ν′(γ,μ)=Fγ,μ,ν(γ,μ). By adopting the fixed point technique, we are able to prove the fuzzy Mittag–Leffler–Hyers–Ulam–Rassias stability of the SDE.

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“…In this work, we present the FP technique, which is the second most popular tool for proving the stability of functional equations [22,23].…”

Section: Introduction and Mathematical Preliminariesmentioning

confidence: 99%