Fractional neutral stochastic differential equations driven by α-stable process

DOI10.22436/JNSA.010.09.14zbMath1412.60093OpenAlexW2751414773MaRDI QIDQ4632697

Zhi Li

Publication date: 30 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.09.14

zbMATH Keywords

existence and uniqueness\(\alpha\)-stable processfractional neutral SDEs

Mathematics Subject Classification ID

Gaussian processes (60G15) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Continuity and approximation properties of solutions to fractional neutral stochastic functional differential equations with non-Lipschitz coefficients

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Results for mild solution of fractional coupled hybrid boundary value problems
• Approximate controllability of fractional stochastic evolution equations
• Invariant measures of stochastic \(2D\) Navier-Stokes equation driven by \(\alpha\)-stable processes
• Existence of solutions for a class of fractional boundary value problems via critical point theory
• Nonlocal Cauchy problem for fractional evolution equations
• Structural properties of semilinear SPDEs driven by cylindrical stable processes
• Stability in distribution of neutral stochastic partial differential delay equations driven by \(\alpha\)-stable process
• Existence of mild solutions for fractional neutral evolution equations
• Semigroups of linear operators and applications to partial differential equations
• On existence results for impulsive fractional neutral stochastic integro-differential equations with nonlocal and state-dependent delay conditions
• Existence of solutions for nonlinear fractional stochastic differential equations
• Derivative formulas and gradient estimates for SDEs driven by \(\alpha\)-stable processes
• Controllability of fractional neutral stochastic functional differential systems
• Existence results for semilinear fractional differential equations via Kuratowski measure of noncompactness
• Ergodicity of the stochastic real Ginzburg-Landau equation driven by \(\alpha\)-stable noises
• Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps
• Nonlinear functional differential equations of monotone-type in Hilbert spaces
• Mild solutions for abstract fractional differential equations
• Numerical analysis for neutral SPDEs driven by α-stable processes
• Existence result for fractional neutral stochastic integro-differential equations with infinite delay
• Lévy Processes and Stochastic Calculus
• The best constants in the Khintchine inequality
• Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces
• Stochastic delay fractional evolution equations driven by fractional Brownian motion
• Stability of Infinite Dimensional Stochastic Differential Equations with Applications
• Stochastic Equations in Infinite Dimensions

This page was built for publication: Fractional neutral stochastic differential equations driven by α-stable process