The main purpose of this work is to validate the numerical solution of fuzzy Fredholm integral
equation (IE) by applying the Sinc-collocation method (S-CM) based on the double …

The goal of this paper is to present a new scheme based on the stochastic arithmetic (SA) to
find the optimal convergence control parameter, the optimal iteration and the optimal …

The susceptible–infected–recovered model of computer viruses is investigated as a
nonlinear system of ordinary differential equations by using the homotopy analysis method …

The regularization method is one of the important schemes to solve the ill-posed problems.
In this work, by combining the Wazwaz's regularization method and the homotopy analysis …

The aim of this paper is to present a simple and accurate method to estimate the
approximate solution of non-linear epidemiological model of computer viruses. For this …

Mean value theorems for both derivatives and integrals are very useful tools in mathematics.
They can be used to obtain very important inequalities and to prove basic theorems of …

In this article, we prove the existence of a solution to some classes of integral equations of
generalized convolution type generated by the Kontorovich-Lebedev (K) transform, the …

In the present work, we study Fredholm integral equations of the second kind with Toeplitz,
Hankel, and Toeplitz plus Hankel kernels. The weighted mean-value method is employed …

This study examines the modification of the integral mean value theorem for discontinuous
functions. Modification is studied by proving that a function that is not continuous at a certain …