Impulsive fractional stochastic differential inclusions driven by sub-Fractional Brownian motion with infinite delay and sectorial operators

DOI10.21915/BIMAS.2021201zbMath1489.60061OpenAlexW3192054473MaRDI QIDQ5164677

Chaouche Meryem, Toufik Guendouzi

Publication date: 12 November 2021

Published in: Bulletin of the Institute of Mathematics Academia Sinica NEW SERIES (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.21915/bimas.2021201

zbMATH Keywords

fixed pointfractional Brownian motionmild solutioninfinite delayfractional derivativefractional sectorial operatorsimpulsive fractional stochastic differential inclusions

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Neutral functional-differential equations (34K40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fractional partial differential equations (35R11)

Cites Work

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• Impulsive neutral stochastic functional integro-differential equations with infinite delay driven by fBm
• Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
• Fractional semilinear differential inclusions
• Topics in fractional differential equations
• Stochastic integration with respect to the sub-fractional Brownian motion with
• On the concept and existence of solution for impulsive fractional differential equations
• Existence results of nondensely defined fractional evolution differential inclusions
• Existence of mild solutions for impulsive fractional stochastic differential inclusions with state-dependent delay
• Approximate controllability of fractional neutral stochastic functional integro-differential inclusions with infinite delay
• The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
• Functional differential equations driven by a fractional Brownian motion
• Some results for impulsive fractional differential inclusions with infinite delay and sectorial operators in Banach spaces
• On the existence of solutions for fractional differential inclusions with sum and integral boundary conditions
• A series expansion of fractional Brownian motion
• Existence results for impulsive neutral stochastic functional integro-differential inclusions with infinite delays
• Non-densely defined impulsive neutral stochastic functional differential equations driven by fBm in Hilbert space with infinite delay
• Existence of solutions for fractional partial neutral stochastic functional integro-differential inclusions with state-dependent delay and analytic resolvent operators
• Existence of solutions of stochastic differential inclusions with standard and fractional Brownian motions
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Existence results for impulsive neutral stochastic functional integro-differential inclusions with nonlocal initial conditions
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Nonlinear impulse evolution systems and applications to population models
• Sub-fractional Brownian motion and its relation to occupation times
• Parametric estimation for sub-fractional Ornstein-Uhlenbeck process
• Existence of solutions for impulsive partial stochastic neutral integrodifferential equations with state-dependent delay
• Some extensions of fractional Brownian motion and sub-fractional Brownian motion related to particle systems
• Existence results for fractional order functional differential equations with infinite delay
• Fractional differential equations and inclusions with semiperiodic and three-point boundary conditions
• Impulsive stochastic functional differential inclusions driven by a fractional Brownian motion with infinite delay
• Impulsive Differential Inclusions
• On time-dependent stochastic evolution equations driven by fractional Brownian motion in a Hilbert space with finite delay
• Existence of Mild Solutions to Stochastic Delay Evolution Equations with a Fractional Brownian Motion and Impulses
• Some properties of the sub-fractional Brownian motion
• Fractional Brownian Motions, Fractional Noises and Applications
• Set-valued analysis

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