FUZZY INTEGRAL EQUATIONS PDF

FUZZY INTEGRAL EQUATIONS PDF

FUZZY INTEGRAL EQUATIONS PDF!

PDF | Using fuzzy Laplace transform method, the solution of fuzzy convolution Volterra integral equation (FCVIE) of the second kind with convolution fuzzy and. Consider the Fredholm integral equation of the second kind [5] $$f(x) = g(x) + \lambda \int\limits_a^b {K(x,y)f(y)dy}$$ where K(x, y) is the kernel of the. An algorithm which approximates this integral uniformly, is incorporated to design a soft computing tool for solving a fuzzy Fredholm integral equation of the.


FUZZY INTEGRAL EQUATIONS PDF

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FUZZY INTEGRAL EQUATIONS PDF


References Ralescu D, Adams G.

On Fuzzy Integral Equations - IOS Press

Dubois D, Prade H. Towards fuzzy differential calculus part 1: Integration of fuzzy mappings. Fuzzy Sets and Systems. The autocontinuity of set-function and the fuzzy integral.

J Math Anal Appl. Goetschel R, Voxman W. On integration of fuzzy mappings.

On fuzzy integrals, Proc. Numerical solutions of fuzzy differential and integral equations.

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A Taylor expansion approach for solving integral equations. Our special issue contains few papers in which different numerical techniques are employed. Particularly, the definition of the pseudointegral for a measurable function based on a strict pseudoaddition decomposable measure fuzzy integral equations generalizing the definition of the pseudointegral of a bounded measurable function was stated.

Also, it gave error bounds for mappings of bounded variation in terms of uniform modulus of continuity. Moreover, it proposed an iterative procedure based on quadrature formula to solve two-dimensional linear fuzzy Fredholm integral equations of the second kind 2DFFLIE2 and presented the error estimation of the proposed method.

FUZZY INTEGRAL EQUATIONS PDF

For this purpose, a numerical solution is obtained for an integrodifferential equation with an integral boundary condition and delay parameter. This type of problems arises in mathematical physics, mechanics, population growth, and other fields of physics and mathematical chemistry.

Then, convergence of this fuzzy integral equations is discussed by presenting a theorem which gives exponential type convergence rate and guarantees the accuracy of that.

FUZZY INTEGRAL EQUATIONS PDF

Indeed, it reconstructed the variational iteration method, that is, the so-called parametric iteration method PIM. To this end, fuzzy integral equations introduced an innovative method applying power series to solve numerically the linear and nonlinear fuzzy integrodifferential equation systems.

We hope the papers published in this special issue will provide a useful guide to a large community of researchers and will give way to development of new innovative theories and numerical approaches in the fields of modeling and approximating fuzzy integral equations and the related topics.