4.7 Article

Nonlinear impulsive problems for uncertain fractional differential equations

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Computer Science, Artificial Intelligence

Initial value estimation of uncertain differential equations and zero-day of COVID-19 spread in China

Waichon Lio et al.

Summary: This paper discusses the core issue of parameter estimation for uncertain differential equations, and proposes methods for initial value estimation and estimation of time-varying parameters. It ultimately derives a COVID-19 spread model based on uncertain differential equations and infers the zero-day of COVID-19 spread in China using these techniques.

FUZZY OPTIMIZATION AND DECISION MAKING (2021)

Article Mathematics, Interdisciplinary Applications

STABILITY ANALYSIS OF NONLINEAR UNCERTAIN FRACTIONAL DIFFERENTIAL EQUATIONS WITH CAPUTO DERIVATIVE

Ziqiang Lu et al.

Summary: This paper investigates the stability problems for Caputo type of uncertain fractional differential equations with the order 0 < p <= 1 driven by Liu process, proposing a concept of stability in measure of solutions and deriving several sufficient conditions for stability in two different order cases. Illustrative examples are performed to demonstrate the effectiveness of the proposed results.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2021)

Article Mathematics, Interdisciplinary Applications

OPTIMAL CONTROL OF NONLINEAR TIME-DELAY FRACTIONAL DIFFERENTIAL EQUATIONS WITH DICKSON POLYNOMIALS

Shu-Bo Chen et al.

Summary: This paper introduces a novel direct scheme for solving time-delay fractional optimal control problems, utilizing Dickson polynomials as basis functions to approximate states and control variables, transforming the problem into a system of nonlinear algebraic equations, and estimating unknown coefficients and control parameters by solving the new system of equations. The proposed strategy offers a tunable framework for direct trajectory optimization, with a high efficiency in dealing with time-delay fractional systems.

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY (2021)

Article Mathematics, Applied

Combination of Shehu decomposition and variational iteration transform methods for solving fractional third order dispersive partial differential equations

Yu-Ming Chu et al.

Summary: The article investigated fractional third-order dispersive partial differential equations using Shehu decomposition and variational iteration transform methods. Various fractional-order integral, derivative, and function were used as the basis of the methodology, with graphs and tables showing solution behavior. The comparison demonstrated the signed agreement of solutions and their accuracy, efficiency, and reliability were confirmed through numerical experiments.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2021)

Article Computer Science, Artificial Intelligence

Option pricing formulas based on uncertain fractional differential equation

Weiwei Wang et al.

Summary: Uncertain fractional differential equations play a crucial role in modeling complex dynamic systems. This paper investigates the pricing problems of American option and Asian option in uncertain financial markets based on these equations, deriving analytical and numerical solutions for the option prices. Numerical experiments are conducted to confirm the effectiveness of the results.

FUZZY OPTIMIZATION AND DECISION MAKING (2021)

Article Engineering, Multidisciplinary

Numerical simulation of advection-diffusion equation with caputo-fabrizio time fractional derivative in cylindrical domains: Applications of pseudo-spectral collocation method

Qammar Rubbab et al.

Summary: The study focuses on the unsteady fractional advection-diffusion equation in cylindrical geometry with time-exponential concentration on a cylindrical surface. The Caputo-Fabrizio time-fractional derivative is used for modeling, and analytical solutions for solute concentration are obtained through integral transformations. Numerical schemes and comparison are presented to investigate the impact of memory and drift velocity on solute concentration.

ALEXANDRIA ENGINEERING JOURNAL (2021)

Article Engineering, Mechanical

α-S-N curve: A novel S-N curve modeling method under small-sample test data using uncertainty theory

Tianpei Zu et al.

INTERNATIONAL JOURNAL OF FATIGUE (2020)

Article Engineering, Multidisciplinary

Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann-Liouville Type

Pshtiwan Othman Mohammed et al.

MATHEMATICAL PROBLEMS IN ENGINEERING (2020)

Article Mathematics, Interdisciplinary Applications

Multistage Uncertain Random Linear Quadratic Optimal Control

Xin Chen et al.

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY (2020)

Article Statistics & Probability

A variation of constant formula for Caputo fractional stochastic differential equations

P. T. Anh et al.

STATISTICS & PROBABILITY LETTERS (2019)

Article Mathematics, Applied

FRACTIONAL IMPULSIVE DIFFERENTIAL EQUATIONS: EXACT SOLUTIONS, INTEGRAL EQUATIONS AND SHORT MEMORY CASE

Guo-Cheng Wu et al.

FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2019)

Article Mathematics, Applied

Periodic averaging method for impulsive stochastic differential equations with Levy noise

Shuo Ma et al.

APPLIED MATHEMATICS LETTERS (2019)

Article Engineering, Multidisciplinary

Multi-period portfolio selection problem under uncertain environment with bankruptcy constraint

Bo Li et al.

APPLIED MATHEMATICAL MODELLING (2018)

Article Computer Science, Artificial Intelligence

Ruin Time of Uncertain Insurance Risk Process

Kai Yao et al.

IEEE TRANSACTIONS ON FUZZY SYSTEMS (2018)

Article Computer Science, Artificial Intelligence

Uncertain Statistical Inference Models With Imprecise Observations

Kai Yao

IEEE TRANSACTIONS ON FUZZY SYSTEMS (2018)

Article Computer Science, Information Systems

Uncertainty theory as a basis for belief reliability

Zhiguo Zeng et al.

INFORMATION SCIENCES (2018)

Article Mathematics, Applied

NON-INSTANTANEOUS IMPULSES IN CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

Ravi Agarwal et al.

FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2017)

Article Mathematics

Existence, uniqueness and stability of random impulsive fractional differential equations

A. Vinodkumar et al.

ACTA MATHEMATICA SCIENTIA (2016)

Article Mathematics, Applied

A SURVEY OF LYAPUNOV FUNCTIONS, STABILITY AND IMPULSIVE CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS

Ravi Agarwal et al.

FRACTIONAL CALCULUS AND APPLIED ANALYSIS (2016)

Article Mathematics, Applied

Uncertain fractional differential equations and an interest rate model

Yuanguo Zhu

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2015)

Article Computer Science, Artificial Intelligence

Some stability theorems of uncertain differential equation

Kai Yao et al.

FUZZY OPTIMIZATION AND DECISION MAKING (2013)

Article Computer Science, Artificial Intelligence

Risk metrics of loss function for uncertain system

Jin Peng

FUZZY OPTIMIZATION AND DECISION MAKING (2013)

Article Mathematics, Applied

Existence of solutions for nonlinear fractional stochastic differential equations

R. Sakthivel et al.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2013)

Article Mathematics, Applied

On the concept and existence of solution for impulsive fractional differential equations

Michal Feckan et al.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION (2012)

Article Mathematics, Applied

Approximate controllability of fractional stochastic evolution equations

R. Sakthivel et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2012)

Article Mathematics, Applied

Nonlinear impulsive problems for fractional differential equations and Ulam stability

JinRong Wang et al.

COMPUTERS & MATHEMATICS WITH APPLICATIONS (2012)

Article Mathematics, Applied

Ulam's type stability of impulsive ordinary differential equations

JinRong Wang et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2012)

Article Computer Science, Artificial Intelligence

Existence and uniqueness theorem for uncertain differential equations

X. Chen et al.

FUZZY OPTIMIZATION AND DECISION MAKING (2010)

Article Automation & Control Systems

Razumikhin-Type Theorems on pth Moment Exponential Stability of Impulsive Stochastic Delay Differential Equations

Shiguo Peng et al.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2010)