This paper deals with Chebyshev wavelets. We analyze their properties computing their
Fourier transform. Moreover, we discuss the differential properties of Chebyshev wavelets …

In this paper, we consider a class of quasilinear stationary Kirchhoff type potential systems
with Neumann Boundary conditions, which involves a general variable exponent elliptic …

The present paper first establishes that an identity involving generalized fractional integrals
is proved for differentiable functions by using two parameters. By utilizing this identity, we …

Recently, many fractional integral operators were introduced by different mathematicians.
One of these fractional operators, Atangana‐Baleanu fractional integral operator, was …

This article presents a homotopy perturbation transform method and a variational iterative
transform method for analyzing the fractional-order non-linear system of the unsteady flow of …

Based on the Riemann–Liouville fractional integral, a new form of generalized Simpson‐
type inequalities in terms of the first derivative is discussed. Here, some more inequalities for …

The main goal of this paper is to develop a new formula of the fractional derivatives of the
shifted Chebyshev polynomials of the third kind. This new formula expresses approximately …

The efficient parameter estimation of harmonics is required to effectively design filters to
mitigate their adverse effects on the power quality of electrical systems. In this study, a …

In this paper, we present generalized Jensen-Mercer inequality for a generalized h-convex
function on fractal sets. We proved Hermite-Hadamard-Mercer local fractional integral …

This study presents a new efficient collocation approach to handle the nonlinear generalized
fractional Riccati equation. The linearization formula of the product of two shifted Chebyshev …