The generalized shifted Chebyshev polynomials (GSCP) represent a novel class of basis
functions that include free coefficients and control parameters. The GSCP are adopted to …

This paper develops a numerical approach for solving coupled systems of nonlinear
fractional order integro-differential equations (NFIDE). Shifted discrete Chebyshev …

In this paper, a special technique is studied by using the orthogonal Chebyshev polynomials
to get approximate solutions for singular and hyper-singular integral equations of the first …

In this paper, we present a new numerical method based on the fractional-order Chelyshkov
functions (FCHFs) for solving fractional variational problems (FVPs) and fractional optimal …

The aim of the present work is to introduce a method based on the Chebyshev polynomials
for numerical solution of a system of Cauchy type singular integral equations of the first kind …

The research considered the solution of the system of dual integral equations involving
Fourier transform occurring in mixed boundary value problems for Laplace's equation with …

Dual integral equations arise when integral transforms are used to solve mixed boundary
value problems of mathematical physics and mechanics. A formal technique for solving such …