Numerical solution of two-dimensional nonlinear Hammerstein fuzzy functional integral equations based on fuzzy Haar wavelets

Enkov, Svetoslav; Georgieva, Atanaska

doi:10.1063/1.5013986

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Cited by 7 publications

(1 citation statement)

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“…The problems posed in the study of fuzzy integral equations are: existence and uniqueness, boundedness of the solutions [13,16] and the construction of numerical methods for the approximate solution.…”

Section: Introductionmentioning

confidence: 99%

Applications of Double Fuzzy Sumudu Adomain Decompositon Method for Two-dimensional Volterra Fuzzy Integral Equations

Alidema

2022

Eur. J. Pure Appl. Math.

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In this paper, we combine double Sumudu transform with Adomian decomposition method to solve two dimensional fuzzy convolution Volterra integral equations. We give some definition for fuzzy number, fuzzy valued function which are prerequest for combine the double fuzzy Sumudu transform with Adomian decomposition transform method. We describe the method and finally, numerical examples are given to illustrate the efficiency and applicability of our method.

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Section: Introductionmentioning

confidence: 99%

Applications of Double Fuzzy Sumudu Adomain Decompositon Method for Two-dimensional Volterra Fuzzy Integral Equations

Alidema

2022

Eur. J. Pure Appl. Math.

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Adomian decomposition method for solving two-dimensional nonlinear Volterra fuzzy integral equations

Alidema¹,

Georgieva²

2018

AIP Conference Proceedings

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Iterative numerical method for two-dimensional nonlinear Fredholm fuzzy functional integral equations

Georgieva¹,

Enkov²

2018

AIP Conference Proceedings

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Numerical solution of two-dimensional nonlinear Hammerstein fuzzy functional integral equations based on fuzzy Haar wavelets

Cited by 7 publications

References 21 publications

Applications of Double Fuzzy Sumudu Adomain Decompositon Method for Two-dimensional Volterra Fuzzy Integral Equations

Applications of Double Fuzzy Sumudu Adomain Decompositon Method for Two-dimensional Volterra Fuzzy Integral Equations

Adomian decomposition method for solving two-dimensional nonlinear Volterra fuzzy integral equations

Iterative numerical method for two-dimensional nonlinear Fredholm fuzzy functional integral equations

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