In this paper, we propose a successive approximation method based on fuzzy wavelet like operator to approximate the solution of linear fuzzy Fredholm integral equations of the second kind with arbitrary kernels. We give the convergence conditions and an error estimate. Also, we investigate the numerical stability of the computed values with respect to small perturbations in the first iteration....

Abstract In this paper, the numerical method for solving Abel’s integral equations is presented. This method is based on fractional calculus. Also, Chebyshev polynomials are utilized to apply fractional properties for solving Abel’s integral equations of the first and second kind. The fractional operator is considered in the sense of RiemannLiouville. Although Abel’s integral equations as singu...

In this paper, we present a method for solving the rst kind Abel integral equation. In thismethod, the rst kind Abel integral equation is transformed to the second kind Volterraintegral equation with a continuous kernel and a smooth deriving term expressed by weaklysingular integrals. By using Sidi's sinm - transformation and modied Navot-Simpson'sintegration rule, an algorithm for solving this...

In this paper, the First Integral Method and Sine-Cosine are being used in constructing optical 1-soliton solutions of Triki-Biswas Equation that plays a vital role study soliton dynamics sub-pico-second pulses mono-mode fibers with non-Kerr law nonlinearity subsequently some non-soliton formally obtained. Â

We apply the first integral method to study the solutions of the variant Boussinesq and the nonlinear Drinfeld-Sokolov systems. This method is based on the theory of commutative algebra. The new idea in this paper is to find the solution of a system of nonlinear partial differential equations using the first integral method.