Existence, uniqueness and continuous dependence of solutions to conformable stochastic differential equations

DOI10.1016/j.chaos.2020.110269zbMath1490.35529OpenAlexW3089954355WikidataQ115359201 ScholiaQ115359201MaRDI QIDQ2123017

JinRong Wang, Guanli Xiao, Donal O'Regan

Publication date: 7 April 2022

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2020.110269

zbMATH Keywords

existence and uniquenessItô formulacontinuous dependenceexponential estimationconformable stochastic differential equations

Mathematics Subject Classification ID

Stochastic models in economics (91B70) Applications of stochastic analysis (to PDEs, etc.) (60H30) Fractional partial differential equations (35R11)

Related Items

Convergence analysis for iterative learning control of conformable impulsive differential equations ⋮ Stability analysis for conformable non-instantaneous impulsive differential equations ⋮ Sobolev-type nonlocal conformable stochastic differential equations ⋮ Existence and stability of solutions to neutral conformable stochastic functional differential equations ⋮ Mean-square exponential stability of impulsive conformable fractional stochastic differential system with application on epidemic model

Cites Work

• Unnamed Item
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• Existence of solution to a local fractional nonlinear differential equation
• On the concept and existence of solution for impulsive fractional differential equations
• A new approach to the group analysis of one-dimensional stochastic differential equations
• On conformable fractional calculus
• Fractional Newton mechanics with conformable fractional derivative
• A critical analysis of the conformable derivative
• A generalized Gronwall inequality and its application to a fractional differential equation
• Kronecker operational matrices for fractional calculus and some applications
• Generalized conformable fractional operators
• Properties of \(G\)-martingales with finite variation and the application to \(G\)-Sobolev spaces
• Conformable derivative approach to anomalous diffusion
• A new framework for multivariate general conformable fractional calculus and potential applications
• A new definition of fractional derivative
• Existence and Ulam's stability for conformable fractional differential equations with constant coefficients
• Vector least-squares solutions for coupled singular matrix equations
• Almost automorphic mild solutions to fractional differential equations
• Backward stochastic differential equations driven by \(G\)-Brownian motion
• Existence results for fractional order functional differential equations with infinite delay
• Multi-dimensional \(G\)-Brownian motion and related stochastic calculus under \(G\)-expectation
• Convergence analysis for iterative learning control of conformable fractional differential equations
• Asymptotic separation between solutions of Caputo fractional stochastic differential equations
• Existence and exponential stability for neutral stochastic fractional differential equations with impulses driven by Poisson jumps
• Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique
• Solitary solutions for time-fractional nonlinear dispersive PDEs in the sense of conformable fractional derivative