Ulam–Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations

DOI10.1063/5.0088040zbMath1512.34149OpenAlexW4362590471MaRDI QIDQ6042765

Unnamed Author, Unnamed Author

Publication date: 4 May 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0088040

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Fractional derivatives and integrals (26A33) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items

Well posedness of second-order non-instantaneous impulsive fractional neutral stochastic differential equations, Trajectory controllability of impulsive neutral stochastic functional integrodifferential equations driven by fBm with noncompact semigroup via Mönch fixed point

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
• On the fractional signals and systems
• Second-order neutral impulsive stochastic evolution equations with infinite delay
• Applied impulsive mathematical models
• Semigroups of linear operators and applications to partial differential equations
• Stability of functional differential equations
• Almost sure exponential stability of neutral stochastic differential difference equations
• Mild solutions for class of neutral fractional functional differential equations with not instantaneous impulses
• The existence and Hyers-Ulam stability of solution for an impulsive Riemann-Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)
• Approximate controllability for mixed type non-autonomous fractional differential equations
• Existence and uniqueness of global mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
• Numerical modeling of fractional-order biological systems
• Approximate controllability of fractional semilinear stochastic system of order \(\alpha \in (1,2\)]
• Stochastic calculus for fractional Brownian motion and related processes.
• The functional calculus for sectorial operators
• Existence and Stability Results for Second-Order Stochastic Equations Driven by Fractional Brownian Motion
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Cosine families and abstract nonlinear second order differential equations
• Financial Modelling with Jump Processes
• Non-instantaneous impulsive Hilfer fractional stochastic differential equations driven by fractional Brownian motion
• Stochastic impulsive fractional differential evolution equations with infinite delay
• Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays
• Exponential stability of impulsive fractional neutral stochastic differential equations
• Stability result of higher-order fractional neutral stochastic differential system with infinite delay driven by Poisson jumps and Rosenblatt process
• Existence results for a class of impulsive neutral fractional stochastic integro-differential systems with state dependent delay
• Non-instantaneous impulsive fractional-order implicit differential equations with random effects
• Basic Theory of Fractional Differential Equations
• A class of functional equations of neutral type
• Stochastic Equations in Infinite Dimensions
• Stochastic differential equations. An introduction with applications.