Global existence of solutions for fuzzy second-order differential equations under generalized \(H\)-differentiability

DOI10.1016/j.camwa.2010.06.038zbMath1202.34014OpenAlexW2059137332MaRDI QIDQ614338

Dongkai Zhang, Wenli Feng, Yongqiang Zhao, Ji-Qing Qiu

Publication date: 27 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.06.038

zbMATH Keywords

fuzzy numberfuzzy differential equationsglobal existence theoremhukuhara differentiability

Mathematics Subject Classification ID

Fuzzy real analysis (26E50) Fuzzy ordinary differential equations (34A07)

Related Items (8)

Global existence of solutions for interval-valued second-order differential equations under generalized Hukuhara derivative ⋮ Characterizations of generalized differentiable fuzzy functions ⋮ Global existence of solutions to fuzzy partial hyperbolic functional differential equations with generalized Hukuhara derivatives ⋮ Unnamed Item ⋮ Global existence of solutions for interval-valued integro-differential equations under generalized \(H\)-differentiability ⋮ The initial value problem for interval-valued second-order differential equations under generalized H-differentiability ⋮ Existence of local and global solutions of fuzzy delay differential inclusions ⋮ Existence of solutions for implicit fuzzy differential inclusions

Cites Work

• Unnamed Item
• Differentials of fuzzy functions
• Monotone method for fuzzy differential equations
• First order linear fuzzy differential equations under generalized differentiability
• Toward the existence and uniqueness of solutions of second-order fuzzy differential equations
• Initial value problem for fuzzy differential equations under dissipative conditions
• Existence theorems to the Cauchy problem for fuzzy differential equations under compactness-type conditions
• Existence and uniqueness theorem for a solution of fuzzy Volterra integral equations
• Global existence of solutions to fuzzy differential equations
• Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
• Revisiting fuzzy differential equations
• Existence of solutions of fuzzy integral equations in Banach spaces
• Approximate solutions, existence, and uniqueness of the Cauchy problem of fuzzy differential equations
• Existence, uniqueness and asymptotic behavior of the solutions of a fuzzy differential equation with piecewise constant argument
• Global existence and uniqueness of solutions for fuzzy differential equations under dissipative-type conditions
• Existence and uniqueness of Cauchy problem for fuzzy differential equations under dissipative conditions
• Initial value problems for higher-order fuzzy differential equations
• Fuzzy differential equations
• On Henstock integral of fuzzy-number-valued functions. I

This page was built for publication: Global existence of solutions for fuzzy second-order differential equations under generalized \(H\)-differentiability