Mild solutions of a fractional partial differential equation with noise

DOI10.1002/MMA.7139zbMATH Open1471.35294OpenAlexW3119828229MaRDI QIDQ5011121

Mustafa Inc, N. Bouteraa, Mehmet Ali Akinlar, Bandar Bin-Mohsin

Publication date: 27 August 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7139

zbMATH Keywords

multiplicative white noiseHausdorff measureDarbo fixed point theorem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

Related Items (4)

Variational solutions for partial differential equations driven by a fractional noise ⋮ PINK NOISE, 1/f^αNOISE, AND THEIR EFFECT ON SOLUTIONS OF DIFFERENTIAL EQUATIONS ⋮ Stochastic fractional heat equation perturbed by general Gaussian and non-Gaussian noise ⋮ Stability analysis of time‐fractional differential equations with initial data

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