In this article, the fractional-order model, namely HIV-1 infection of CD4+ T-cells combined
with the effect of antiviral drug treatment, is investigated. The model includes three unknown …

In the current paper, the numerical solutions for a class of fractional advection–diffusion
equations with a kind of new generalized time-fractional derivative proposed last year are …

In this paper, we study the analytical solutions of linear and nonlinear partial differential
equations by Natural Transform Decomposition Method (NTDM) which is formed by …

In this paper we study a class of new Generalized Fractional Advection-Diffusion Equations
(GFADEs) with a new Generalized Fractional Derivative (GFD) proposed last year. The new …

In the present study, variational iteration and Adomian decomposition methods (ADMs) are
applied for solving a class of fractional optimal control problems (FOCPs). Also, a …

This study is aimed at making comparative analysis between three semi-analytical iterative
methods viz: Adomian decomposition method, Temimi-Ansari method and Daftardar-Jafari …

The fractional diffusion equation is one of the most important partial differential equations
(PDEs) to model problems in mathematical physics. These PDEs are more practical when …

This chapter is concerned with analyzing and presenting some algorithms for treating some
kinds of fractional differential equations (FDEs) based on utilizing some suitable spectral …

We comment the fractional space–time reaction–convection–diffusion defined by Grünwald–
Letnikov, Riesz and Riesz–Feller fractional derivatives. We find the explicit travelling wave …

S. Yu. Lukashchuk Approximation of ordinary fractional differential equations by differential
equations with a small parameter 2 Page 1 S. Yu. Lukashchuk Approximation of ordinary …