Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in \(0

DOI10.1016/j.cnsns.2023.107636zbMath1530.34064OpenAlexW4387940744MaRDI QIDQ6144119

Jiwei Zhang, Hengzhi Zhao, Jiang Hu, Jing Lu

Publication date: 5 January 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107636

zbMATH Keywords

optimal controlapproximate controllabilityHurst parameterPoisson jumpsmulti-delaystochastic fractional differential equation

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Sums of independent random variables; random walks (60G50) Controllability (93B05) Stochastic functional-differential equations (34K50) Control problems for functional-differential equations (34K35) Existence theories for problems in abstract spaces (49J27) Functional-differential equations with fractional derivatives (34K37)

Cites Work

• Unnamed Item
• Approximate controllability of semilinear nonlocal fractional differential systems via an approximating method
• Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi's function
• The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
• The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion
• A class of fractional evolution equations and optimal controls
• Optimal controls for fractional stochastic functional differential equations of order \(\alpha \in (1, 2\)]
• Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Mönch fixed point
• The solvability and optimal controls for impulsive fractional stochastic integro-differential equations via resolvent operators
• Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control
• Approximate controllability of impulsive neutral stochastic differential equations driven by Poisson jumps
• The solvability and optimal controls for some fractional impulsive equations of order \(1 < \alpha < 2\)
• Stochastic averaging for two-time-scale stochastic partial differential equations with fractional Brownian motion
• Global attractiveness and exponential decay of neutral stochastic functional differential equations driven by fBm with Hurst parameter less than 1/2
• New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\)
• Finite-approximate controllability of semilinear fractional stochastic integro-differential equations
• A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces
• On the approximate controllability results for fractional integrodifferential systems of order \(1 < r < 2\) with sectorial operators
• The solvability and optimal controls for some fractional impulsive equation
• Stochastic fractional evolution equations with fractional Brownian motion and infinite delay
• Controllability of neutral stochastic evolution equations driven by fractional Brownian motion
• Approximate controllability of fractional semilinear stochastic system of order \(\alpha \in (1,2\)]
• A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order \(1 < r < 2\)
• Fractional neutral stochastic differential equations with Caputo fractional derivative: Fractional Brownian motion, Poisson jumps, and optimal control
• Approximate controllability of semilinear stochastic system with multiple delays in control
• Controllability of neutral stochastic evolution equations driven by fBm with Hurst parameter less than 1/2
• Approximate controllability results for non-densely defined fractional neutral differential inclusions with Hille–Yosida operators
• Optimal control of fractional neutral stochastic differential equations with deviated argument governed by Poisson jumps and infinite delay
• Approximate controllability of fractional stochastic differential equations driven by mixed fractional Brownian motion via resolvent operators
• A new conversation on the existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators

This page was built for publication: Approximate controllability and optimal control in fractional differential equations with multiple delay controls, fractional Brownian motion with Hurst parameter in \(0<H<\frac{1}{2}\), and Poisson jumps