The Generalized Solution for Initial Problems of Fuzzy Discontinuous Differential Equations

DOI10.1007/978-3-642-38667-1_23zbMath1308.34007OpenAlexW139528789MaRDI QIDQ4982160

Yabin Shao, Huanhuan Zhang, Zeng-Tai Gong

Publication date: 24 March 2015

Published in: Fuzzy Information & Engineering and Operations Research & Management (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-38667-1_23

zbMATH Keywords

generalized solutions fuzzy number fuzzy Henstock integral fuzzy-number-valued function controlled convergence theorem discontinuous fuzzy differential equation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fuzzy ordinary differential equations (34A07)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
The Henstock-Stieltjes integral for fuzzy-number-valued functions
A note on \(Z\)-numbers
Differentials of fuzzy functions
On \(x'=f(t,x)\) and Henstock-Kurzweil integrals
The Cauchy problem for fuzzy differential equations
Is there a need for fuzzy logic?
On new solutions of fuzzy differential equations
The controlled convergence theorems for the strong Henstock integrals of fuzzy-number-valued functions
On the fuzzy initial value problem
Towards fuzzy differential calculus. I: Integration of fuzzy mappings
The concept of a linguistic variable and its application to approximate reasoning. I
The concept of a linguistic variable and its application to approximate reasoning. II
The concept of a linguistic variable and its application to approximate reasoning. III
The Cauchy problem for continuous fuzzy differential equations
Carathéodory solutions of fuzzy differential equations
On Henstock integrals of interval-valued functions and fuzzy-valued functions
Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
On the problem of characterizing derivatives for the fuzzy-valued functions. II: Almost everywhere differentiability and strong Henstock integral
Global existence and uniqueness of solutions for fuzzy differential equations under dissipative-type conditions
Toward a generalized theory of uncertainty (GTU) -- an outline
Generalized ordinary differential equations and continuous dependence on a parameter
Fuzzy sets
Fuzzy differential equations
On Henstock integral of fuzzy-number-valued functions. I

This page was built for publication: The Generalized Solution for Initial Problems of Fuzzy Discontinuous Differential Equations