In this study, we present a numerical method named the logarithmic non-polynomial spline
method. This method combines conformable derivative, finite difference, and non …

The time-fractional coupled Korteweg–De Vries equations (TFCKdVEs) serve as a vital
framework for modeling diverse real-world phenomena, encompassing wave propagation …

This paper introduces a groundbreaking method, Homotopy-based Fourier transform,
integrating Fourier transform and Homotopy perturbation for refined nonlinear problem …

The key objective of this study is to examine the nonlinear Time-fractional generalized
Kawahara equation N-TF-GKE, a significant nonlinear equation that appears in a variety of …

Community structure is a very interesting attribute and feature in complex networks, which
has attracted scholars' attention and research on community detection. Many single …

We take into account a nonlinear Caputo fractional-order differential equation including
several variable delays. We examine whether the solutions to the Caputo fractional-order …

This study investigates the stability behavior of nonlinear Fredholm and Volterra integral
equations, as well as nonlinear integro-differential equations with Volterra integral terms …

A non-polynomial spline is a technique that utilizes information from symmetric functions to
solve mathematical or physical models numerically. This paper introduces a novel non …

In this paper, we present an efficient method for solving a class of higher order fractional
differential equations with general boundary conditions. The convergence of the numerical …

In the study of some real cases, it is possible to encounter well-defined geometric conditions,
of an industrial or design type—for example, the case of a specific volume within each of …