Introduction Falls are a major cause of accidents that can lead to serious injuries, especially
among geriatric populations worldwide. Ensuring constant supervision in hospitals or smart …

In this article, a new, attractive method is used to solve fractional neutral pantograph
equations (FNPEs). The proposed method, the ARA-Residual Power Series Method (ARA …

This paper deals with the generalized Bagley–Torvik equation based on the concept of the
Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space …

In this paper, we focus on the development and study of the finite difference/pseudo-spectral
method to obtain an approximate solution for the time-fractional diffusion-wave equation in a …

In this article, we consider a reliable analytical and numerical approach to create fuzzy
approximated solutions for differential equations of fractional order with appropriate …

Many phenomena in physics and engineering can be built by linear and nonlinear fractional
partial differential equations which are considered an accurate instrument to interpret these …

Parkinson's disease affects bodily functions and there is a growing need for advanced
solutions to offer therapeutic advice to patients. A framework using artificial intelligence and …

Over the last decade, there is a surge of attention in establishing ambient assisted living
(AAL) solutions to assist individuals live independently. With a social and economic …

Convection and diffusion are two harmonious physical processes that transfer particles and
physical quantities. This paper deals with a new aspect of solving the convection–diffusion …

This research investigates the explicit series solutions of the fractional Chaffee–Infante
reaction–diffusion coupled hierarchy system utilizing Lie symmetry analysis in two …