Some new results on Itô-Doob Hadamard fractional stochastic pantograph equations in \(L^p\) spaces (Q6660889)

scientific article; zbMATH DE number 7965212

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English	Some new results on Itô-Doob Hadamard fractional stochastic pantograph equations in \(L^p\) spaces	scientific article; zbMATH DE number 7965212

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scholarly article

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title

Some new results on Itô-Doob Hadamard fractional stochastic pantograph equations in \(L^p\) spaces (English)

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Qualitative Theory of Dynamical Systems

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publication date

10 January 2025

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zbMATH Keywords

stochastic fractional pantograph equation

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well-posedness

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regularity

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Ulam-Hyers stability

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averaging principle

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Publication

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cites work

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The averaging principle of Hilfer fractional stochastic delay differential equations with Poisson jumps

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Analysis of abstract partial impulsive integro-differential system with delay via integrated resolvent operator

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Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations

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Some results on the study of Caputo-Hadamard fractional stochastic differential equations

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Ulam type stability for Caputo–Hadamard fractional functional stochastic differential equations with delay

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Ulam–Hyers stability of pantograph fractional stochastic differential equations

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On the averaging principle for stochastic differential equations involving Caputo fractional derivative

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Limit behavior of the solution of Caputo-Hadamard fractional stochastic differential equations

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An averaging result for impulsive fractional neutral stochastic differential equations

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Averaging principle for stochastic differential equations with monotone condition

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Averaging principle for a type of Caputo fractional stochastic differential equations

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Averaging principle for fractional stochastic differential equations with \(L^p\) convergence

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Nontrivial Equilibrium Solutions and General Stability for Stochastic Evolution Equations with Pantograph Delay and Tempered Fractional Noise

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Existence of solutions of nonlinear fractional pantograph equations

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Applications of new contraction mappings on existence and uniqueness results for implicit \(\phi\)-Hilfer fractional pantograph differential equations

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Existence, uniqueness, and averaging principle for Hadamard Itô–Doob stochastic delay fractional integral equations

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An averaging principle for stochastic fractional differential equations with time-delays

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

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Hadamard Itô-Doob stochastic fractional order systems

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The averaging principle for stochastic pantograph equations with non-Lipschitz conditions

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Q5439382

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Identifiers

Mathematics Subject Classification ID

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10.1007/S12346-024-01190-X

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Mathematics(1 entry)

mardi Publication:6660889