Fuzzy Integral Equations

2002 ◽  
pp. 229-241 ◽  
Author(s):  
James J. Buckley ◽  
Esfandiar Eslami ◽  
Thomas Feuring
Keyword(s):  
Integral Equations ◽  
Fuzzy Integral

Existence of solutions of fuzzy integral equations in Banach spaces

1995 ◽  
Vol 72 (3) ◽  
pp. 373-378 ◽  
Author(s):  
Jong Yeoul Park ◽  
Young Chel Kwun ◽  
Jae Ug Jeong
Keyword(s):  
Banach Spaces ◽  
Integral Equations ◽  
Existence Of Solutions ◽  
Fuzzy Integral

Application of Bernoulli wavelet method to solve a system of fuzzy integral equations

2018 ◽  
Vol 9 (1-2) ◽  
pp. 16-27 ◽  
Author(s):  
Mohamed Abdel- Latif Ramadan ◽  
Mohamed R. Ali
Keyword(s):  
Numerical Method ◽  
Integral Equations ◽  
Bernoulli Polynomials ◽  
Approximate Solutions ◽  
Fredholm Integral Equations ◽  
Fuzzy Integral ◽  
Algebraic Equations ◽  
Wavelet Method ◽  
Numerical Examples ◽  
Bernoulli Wavelet

In this paper, an efficient numerical method to solve a system of linear fuzzy Fredholm integral equations of the second kind based on Bernoulli wavelet method (BWM) is proposed. Bernoulli wavelets have been generated by dilation and translation of Bernoulli polynomials. The aim of this paper is to apply Bernoulli wavelet method to obtain approximate solutions of a system of linear Fredholm fuzzy integral equations. First we introduce properties of Bernoulli wavelets and Bernoulli polynomials, then we used it to transform the integral equations to the system of algebraic equations. The error estimates of the proposed method is given and compared by solving some numerical examples.

A note on fuzzy integral equations

1999 ◽  
Vol 108 (2) ◽  
pp. 193-200 ◽  
Author(s):  
Jong Yeoul Park ◽  
Jae Ug Jeong
Keyword(s):  
Integral Equations ◽  
Fuzzy Integral

Approximating the solution of nonlinear Hammerstein fuzzy integral equations

2014 ◽  
Vol 245 ◽  
pp. 1-17 ◽  
Author(s):  
Alexandru Mihai Bica ◽  
Constantin Popescu
Keyword(s):  
Integral Equations ◽  
Fuzzy Integral

scholarly journals A series solution of fuzzy integral equations

2015 ◽  
Vol 2015 (3) ◽  
pp. 259-268
Author(s):  
Maryam Mosleh ◽  
Mahmood Otadi
Keyword(s):  
Integral Equations ◽  
Series Solution ◽  
Fuzzy Integral

scholarly journals Control Fuzzy Metric Spaces via Orthogonality with an Application

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Fahim Uddin ◽  
Khalil Javed ◽  
Hassen Aydi ◽  
Umar Ishtiaq ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Metric Spaces ◽  
Fuzzy Integral ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

In this article, we are generalizing the concept of control fuzzy metric spaces by introducing orthogonal control fuzzy metric spaces. We prove some fixed point results in this setting. We provide nontrivial examples to show the validity of our main results and the introduced concepts. An application to fuzzy integral equations is also included. Our results generalize and improve several developments from the existing literature.

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