The study of fractional variational problems with derivatives in the sense of Caputo is a
recent subject in Newtonian fluids. In this article, the homotopy perturbation method (HPM) …

In this paper, we consider a new fractional-order chaotic system described by the Caputo
fractional derivative. This paper's main objective is to analyze the bifurcation maps to detect …

This paper explores the investigation of a Volterra-Fredholm integro-differential equation
that incorporates Caputo fractional derivatives and adheres to specific order conditions. The …

In this paper, we develop a three-dimensional fractional-order cancer model. The proposed
model involves the interaction among tumor cells, healthy tissue cells and activated effector …

This paper introduces the properties of a fractional-order chaotic system described by the
Caputo derivative. The impact of the fractional-order derivative has been focused on. The …

This paper presents a modified chaotic system under the fractional operator with singularity.
The aim of the present subject will be to focus on the influence of the new model's …

The aim of this research is to demonstrate a novel scheme for approximating the Riemann-
Liouville fractional integral operator. This would be achieved by first establishing a fractional …

This paper investigates a new model on coronavirus-19 disease (COVID-19), that is
complex fractional SIR epidemic model with a nonstandard nonlinear incidence rate and a …

In this paper, we study a Volterra–Fredholm integro‐differential equation. The considered
problem involves the fractional Caputo derivatives under some conditions on the order. We …

Fractional nonlinear partial differential equations are used in many scientific fields to model
various processes, although most of these equations lack closed-form solutions. For this …