Existence and stability for fractional parabolic integro-partial differential equations with fractional Brownian motion and nonlocal condition

DOI10.1080/25742558.2018.1460030zbMath1438.60069OpenAlexW2796631073WikidataQ129984812 ScholiaQ129984812MaRDI QIDQ5193248

Mahmoud M. El-Borai, Hamdy M. Ahmed, Ahmed S. Ghanem, Khairia El-Said El-Nadi, Rathinasamy Sakthivel, Hassan M. El-Owaidy

Publication date: 10 September 2019

Published in: Cogent Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/25742558.2018.1460030

zbMATH Keywords

stabilitynonlocal Cauchy problemfractional Brownian motion with Hurst parameter less than halfnonlinear fractional integro-partial differential equations

Mathematics Subject Classification ID

Gaussian processes (60G15) Fractional processes, including fractional Brownian motion (60G22) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (6)

Nonsmooth data optimal error estimates by energy arguments for subdiffusion equations with memory ⋮ On the existence, uniqueness and stability results for time-fractional parabolic integrodifferential equations ⋮ Exponential stability of impulsive fractional neutral stochastic integro-differential equations with nonlocal conditions ⋮ Exponential stability of impulsive fractional neutral stochastic differential equations ⋮ Finite element method for fractional parabolic integro-differential equations with smooth and nonsmooth initial data ⋮ Wellposedness and stability of fractional stochastic nonlinear heat equation in Hilbert space

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