In this research, we study a weakly singular Volterra integro differential equation with
Caputo‐type fractional derivative. First, we derive a sufficient condition for the existence and …

This study solves the time-fractional telegraph equations with Dirichlet boundary conditions
using a novel and effective wavelet collocation method based on Taylor wavelets. In the …

This study aims to use the Taylor wavelet method to solve linear and nonlinear Lane-Emden
equations. An advantage of the method is the orthonormality property of the polynomials …

In the present paper, we propose a spectral collocation method based on Pell polynomials
to obtain the solution of a variable-order fractional integro-differential equation with a weakly …

The main objective of this paper is to establish a fractional-order operational matrix method
based on Euler wavelets for solving linear Volterra–Fredholm integro-differential equations …

In this paper, a wavelet-based operational matrix scheme has been introduced to obtain the
approximate solution of the linear and nonlinear fractional order Volterra–Fredholm integro …

One of the key tools for many fields of applied mathematics is the integral equations. Integral
equations are widely utilized in many models, atmosphere–ocean dynamics, fluid …

In this paper, we consider the Emden–Fowler integral equation with Green's function type
kernel. We propose three computational algorithms based on the Gegenbauer-wavelet, the …

A wavelet-based technique has been used in this study to solve the linear and nonlinear
fractional order Volterra integro-differential equations using weakly singular kernels. For …

The steady-state ship rolling motion in random beam seas with nonlinear damping and
restoring moments are explored mathematically in this work. The Hermite Wavelet Method …