This paper proposes a nonlinear smoking model (SM) by means of a system of fractional-
order differential equations. The SM is formulated in the sense of the fractional Caputo …

In this paper, by means of the second Chebyshev wavelet and its operational matrix, we
solve a system of fractional-order Volterra–Fredholm integro-differential equations with …

The present paper is devoted to the application of local polynomial and non-polynomial
interpolation splines of the third order of approximation for the numerical solution of the …

This article proposes a hybrid technique for finding approximation solutions of the fractional
2D Sobolev equation. In the proposed approach, the Müntz‐Legender functions and Müntz …

In this paper, an artificial intelligence approach using neural networks is described to solve a
class of delay optimal control problems of fractional order with equality and inequality …

In this paper, a new method based on least squares support vector regression (LS-SVR) is
presented as a numerical method for solving linear and nonlinear Volterra–Fredholm …

Fractional integro-differential equations (FIDEs) of both Volterra and Fredholm types present
considerable challenges in numerical analysis and scientific computing due to their complex …

This paper introduces a new method which is used to obtain numerical solutions of Volterra–
Fredholm linear integral equation systems. In the proposed method, the functions and …

In this paper, a numerical scheme is utilized to solve three‐dimensional nonlinear system of
Volterra‐Hammerstein integrals equations, which is based on the three‐dimensional block …

In this study, a new pseudo-spectral method is proposed to numerical solve of an optimal
control problem whose constraint is given in terms of integral equation. The computational …