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 …

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 …

Computers and electronics play an enormous role in today's society, impacting everything
from communication and medicine to science. The development of computer-related …

The generalized shallow water wave equation is an important mathematical model that is
used to elaborate ocean engineering, weather simulations, tsunami prediction and tidal …

It is known that the Laplace transform method is used to solve only a finite class of linear
differential equations. In this paper, we suggest a new method that relies on a new fractional …

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 work, the existence of Hilfer fractional integro-differential equations with nonlocal
conditions are discussed. To obtain such result, we use M o¨ nch fixed point theorem and the …

In the present paper, a HIV-1 infection of CD 4+ T-cells with the impact of drug treatment
model of arbitrary order have been examined with the aid of Legendre wavelet operational …

An exact solution of partial differential equations provides a lot of information for a model.
Since obtaining such answers is generally very difficult or in some cases impossible, having …

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 …