In connection with issues pertinent with humans' health, it is highly significant to
comprehend the complex dynamics of the related infectious disease since the non …

This manuscript aims to consider a variety of fractional predator-prey models in the presence
of an infection developed in the predator population. The crowding behavior plays an …

In this paper, we solve a system of fractional differential equations within a fractional
derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the …

We develop efficient algorithms based on the Legendre-tau approximation for one-and two-
dimensional fractional Rayleigh–Stokes problems for a generalized second-grade fluid. The …

This paper deals with the study and analysis of several rational approximations to approach
the behavior of arbitrary-order differentiators and integrators in the frequency domain. From …

This paper is concerned with the application of the spectral tau and collocation methods to
delay multi-order fractional differential equations with vanishing delay rx (0< r< 1). The …

In this article, the authors propose to investigate the numerical solutions of several fractional-
order models of the multi-space coupled Korteweg–De Vries equation involving many …

The fractional reaction-diffusion equation has an important physical and theoretical
meaning, but its analytical solution poses considerable problems. This paper develops an …

In this paper, we investigate the possible treatment of a class of fractional-order delay
differential equations. In delay differential equations, the evolution of the state depends on …

This paper is devoted to developing spectral solutions for the nonlinear fractional Klein–
Gordon equation. The typical collocation method and the tau method are employed for …