Iterative method for numerical solution of two-dimensional nonlinear fuzzy integral equations

2015 ◽  
Vol 280 ◽  
pp. 91-106 ◽  
Author(s):  
S.M. Sadatrasoul ◽  
R. Ezzati
Keyword(s):  
Iterative Method ◽  
Numerical Solution ◽  
Integral Equations ◽  
Fuzzy Integral ◽  
Two Dimensional

scholarly journals Numerical Method for Fractional Fuzzy Integral Equations

2021 ◽  
Author(s):  
Alexandru Mihai Bica ◽  
Shokrollah Ziari ◽  
Zoltan Satmari
Keyword(s):  
Iterative Method ◽  
Error Estimate ◽  
Numerical Solution ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Uniform Boundedness ◽  
Fuzzy Integral ◽  
Product Integration ◽  
Lipschitz Constants ◽  
Uniqueness Of The Solution

Abstract In the present work we construct an iterative method for the numerical solution of fuzzy fractional Volterra integral equations, by using the technique of fuzzy product integration. The existence and uniqueness of the solution and the uniform boundedness of the terms of the Picard iterations are proved. The convergence of the iterative algorithm is obtained and the apriori error estimate is given in terms of the Lipschitz constants. A numerical example illustrates the accuracy of the method.

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