Mathematical biology is one of the interesting research area of applied mathematics that
describes the accurate description of phenomena in biology and related health issues. The …

Epidemiology is the glorious discipline underlying medical research, public health practice,
and health care evaluation. Nowadays, research on disease models with anonymous …

The Lotka‐Volterra (LV) system is an interesting mathematical model because of its
significant and wide applications in biological sciences and ecology. A fractional LV model …

The heat equation is parabolic partial differential equation and occurs in the characterization
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …

In this paper, the operational matrix based on Bernstein wavelets is presented for solving
fractional SIR model with unknown parameters. The SIR model is a system of differential …

Considering the higher flexibility in tuning process and finer control action of the fractional-
order proportional integral derivative (FOPID) controller over the conventional proportional …

In this study, a novel stochastic computational frameworks based on fractional Meyer
wavelet artificial neural network (FMW-ANN) is designed for nonlinear-singular fractional …

In this article, we have investigated the fractional-order Burgers equation via Natural
decomposition method with nonsingular kernel derivatives. The two types of fractional …

The motive of the work is to propose a new hybrid technique, the Homotopy Perturbation
General Transform Method (HPGTM) for obtaining an analytic solution for a wide class of …

In this study, different systems of linear and non-linear fractional initial value problems are
solved analytically utilizing an attractive novel technique so-called the Laplace residual …