Global existence of solutions for interval-valued integro-differential equations under generalized \(H\)-differentiability

DOI10.1186/1687-1847-2013-217zbMath1379.34061OpenAlexW2102935875WikidataQ59299626 ScholiaQ59299626MaRDI QIDQ681095

Vinh An Truong, Ngo Van Hoa, Nguyen Dinh Phu

Publication date: 30 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-217

zbMATH Keywords

generalized Hukuhara derivativeinterval-valued differential equationsinterval-valued integro-differential equations

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) General theory of functional-differential equations (34K05) Integro-differential operators (47G20)

Related Items (7)

Interval-valued functional differential equations under dissipative conditions ⋮ Solution of fuzzy differential equations using fuzzy Sumudu transforms ⋮ Global existence of solutions for interval-valued second-order differential equations under generalized Hukuhara derivative ⋮ Bilateral multivalued stochastic integral equations with weakening of the Lipschitz assumption ⋮ Properties of interval-valued function space under the gH-difference and their application to semi-linear interval differential equations ⋮ On the solutions for box differential equations under generalized Hukuhara derivative ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Calculus for interval-valued functions using generalized Hukuhara derivative and applications
• On maximal and minimal solutions for set-valued differential equations with feedback control
• Existence of global solutions to nonlinear fuzzy Volterra integro-differential equations
• Random fuzzy differential equations under generalized Lipschitz condition
• A note on ``Fuzzy linear systems
• Solving fuzzy fractional differential equations by fuzzy Laplace transforms
• Second type Hukuhara differentiable solutions to the delay set-valued differential equations
• Global existence of solutions for fuzzy second-order differential equations under generalized \(H\)-differentiability
• Interval differential equations with a second type Hukuhara derivative
• Differentials of fuzzy functions
• Parametric representation of fuzzy numbers and application to fuzzy calculus
• First order linear fuzzy differential equations under generalized differentiability
• On new solutions of fuzzy differential equations
• Existence theorems for solutions to random fuzzy differential equations
• Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
• On random fuzzy differential equations
• Theory of functional differential equations. 2nd ed
• Existence and interrelation between set and fuzzy differential equations.
• A stacking theorem approach for fuzzy differential equations.
• On existence and uniqueness of solutions of fuzzy integrodifferential equations
• Interval Cauchy problem with a second type Hukuhara derivative
• Viability theory and fuzzy differential equations
• Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
• Existence and uniqueness of solutions to Cauchy problem of fuzzy differential equations
• On set differential equations in Banach spaces - a second type Hukuhara differentiability approach
• Fuzzy differential equations and the extension principle
• A note on ``Two-point boundary value problems associated with non-linear fuzzy differential equations
• Existence and Uniqueness of Solutions of Fuzzy Volterra Integro-differential Equations
• Set Differential Equations and Flow Invariance
• Fuzzy differential equations

This page was built for publication: Global existence of solutions for interval-valued integro-differential equations under generalized \(H\)-differentiability