An existence and uniqueness result for fuzzy Goursat partial differential equation

DOI10.1016/J.FSS.2019.02.011zbMath1423.35426OpenAlexW2917169706WikidataQ114175411 ScholiaQ114175411MaRDI QIDQ2329053

Rosana Rodríguez-López, Alireza Khastan

Publication date: 17 October 2019

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2019.02.011

zbMATH Keywords

existence and uniquenessgeneralized differentiabilityfuzzy partial differential equationsBanach contraction mapping theorem

Mathematics Subject Classification ID

Fuzzy partial differential equations (35R13)

Related Items (8)

Complete controllability for a class of fractional evolution equations with uncertainty ⋮ EXISTENCE CRITERIA FOR THE UNIQUE SOLUTION OF FIRST ORDER LINEAR FUZZY DIFFERENTIAL EQUATIONS ON THE SPACE OF LINEARLY CORRELATED FUZZY NUMBERS ⋮ On Goursat problem for fuzzy random partial differential equations under generalized Lipschitz conditions ⋮ Analytical fuzzy triangular solutions of the wave equation ⋮ RESEARCH ON STOCHASTIC FUZZY DIFFERENTIAL EQUATIONS IN MULTIPLE BLURRED IMAGE REPAIR MODELS ⋮ A systematic review on the advancement in the study of fuzzy variational problems ⋮ Almost periodic fuzzy multidimensional dynamic systems and applications on time scales ⋮ Hyers-Ulam stability and existence criteria for the solution of second-order fuzzy differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On fuzzy solutions for partial differential equations
• On fuzzy solutions for heat equation based on generalized Hukuhara differentiability
• Fuzzy parameters in a partial differential equation model for population dispersal of leaf-cutting ants
• First order linear fuzzy differential equations under generalized differentiability
• On new solutions of fuzzy differential equations
• A generalization of Hukuhara difference and division for interval and fuzzy arithmetic
• The variational iteration method for a reliable treatment of the linear and the nonlinear goursat problem
• Generalized Hukuhara differentiability of interval-valued functions and interval differential equations
• New results on multiple solutions for \(N\)th-order fuzzy differential equations under generalized differentiability
• Numerical solution of the Goursat problem by a nonlinear trapezoidal formula
• Fubini theorem for generalized fuzzy number-valued integrals
• Introduction to fuzzy partial differential equations
• On the solutions to first order linear fuzzy differential equations
• Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
• Mathematics of fuzzy sets and fuzzy logic
• The solvability of fuzzy fractional partial differential equations under Caputo gH-differentiability
• A fuzzy solution of heat equation under generalized Hukuhara differentiability by fuzzy Fourier transform
• Generalized differentiability of fuzzy-valued functions
• A note on fuzzy differential equations
• Initial value problems for higher-order fuzzy differential equations
• TRANSPORT EQUATION WITH FUZZY DATA
• Fuzzy differential equations

This page was built for publication: An existence and uniqueness result for fuzzy Goursat partial differential equation