Existence and stability results for Caputo fractional stochastic differential equations with Lévy noise

DOI10.2298/FIL2005739UOpenAlexW3127989329MaRDI QIDQ5089386

P. Umamaheswari, N. Annapoorani, Krishnan Balachandran

Publication date: 19 July 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2005739u

zbMATH Keywords

stabilityMittag-Leffler functionexistenceuniquenesssuccessive approximation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08)

Related Items (4)

Fractional Stochastic Differential Equations Driven By G-Brownian Motion with Delays ⋮ Existence and finite-time stability results for impulsive Caputo-type fractional stochastic differential equations with time delays ⋮ Unnamed Item ⋮ Wellposedness and stability of fractional stochastic nonlinear heat equation in Hilbert space

Cites Work

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• Stability analysis of fractional differential system with Riemann-Liouville derivative
• Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Exponential stability for stochastic neutral partial functional differential equations
• Successive approximations to solutions of stochastic differential equations
• Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control
• Exponential stability of stochastic systems with delay and Poisson jumps
• The averaging principle for stochastic differential equations with Caputo fractional derivative
• Impulsive stochastic fractional differential equations driven by fractional Brownian motion
• \(G\)-neutral stochastic differential equations with variable delay and non-Lipschitz coefficients
• Carathéodory approximations and stability of solutions to non-Lipschitz stochastic fractional differential equations of Itô-Doob type
• Fractional order stochastic differential equation with application in European option pricing
• Stochastic fractional differential equations: modeling, method and analysis
• Numerical solution of stochastic fractional differential equations
• Stability of Mild Solutions of Stochastic Evolution Equations with Variable Delay
• Stochastic fractional differential equations driven by Lévy noise under Carathéodory conditions
• Existence of Solutions of Stochastic Fractional Integrodifferential Equations
• EXISTENCE AND STABILITY OF SOLUTIONS OF STOCHASTIC SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
• Lévy Processes and Stochastic Calculus
• Numerical Solutions of Stochastic Functional Differential Equations
• Approximation properties for solutions to Itô–Doob stochastic fractional differential equations with non-Lipschitz coefficients
• Almost sure exponential stability for stochastic neutral partial functional differential equations
• Existence of Solutions of General Nonlinear Stochastic Volterra Fredholm Integral Equations
• Fractional Brownian Motions, Fractional Noises and Applications
• On the successive approximation of solutions of stochastic differential equations
• Analysis of fractional differential equations
• Stochastic differential equations. An introduction with applications.

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