This article mainly explores and applies a modified form of the analytical method, namely the
homotopy analysis transform method (HATM) for solving time-fractional Cauchy reaction …

The present work considers a nonlinear system of singularly perturbed delay differential
equation whose each component of the solution has multiple layers. Here, we provide an a …

Fractional differential equations can describe the dynamics of several complex and nonlocal
systems with memory. They arise in many scientific and engineering areas such as physics …

In this manuscript, fractional order is introduced onto a time‐delay differential equation
model of cell‐to‐cell spread of HIV‐1. The fractional derivative of Caputo type is considered …

This paper presents dynamic model of COVID-19 and citizens reaction from a fraction of the
population in Nigeria using fractional derivative. We consider the reported cases from …

Motivated by the Hilfer fractional derivative (which interpolates the Riemann‐Liouville
derivative and the Caputo derivative), we consider a new type of fractional derivative (which …

In this work, a fractional order model for human papillomavirus (HPV) and Chlamydia
trachomatis (CT) co-infection is considered and analyzed. The existence and uniqueness of …

This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional
differential equations of variable order involving finite delays. The existence of solutions is …

We study the existence and uniqueness of positive solutions of the first-order nonlinear
Liouville–Caputo fractional differential equation {^ CD^ α\left (x\left (t\right)-g (t, x (t))\right) …

In this paper, we prove a theorem of linearized asymptotic stability for nonlinear fractional
differential equations with a time delay. By using the method of linearization of a nonlinear …