In this work, we propose a new optimal perturbation iteration method for solving the
generalized Fitzhugh–Nagumo equation with time-dependent coefficients. This research …

A model for the amount of pollution in lakes connected with some rivers is introduced. In this
model, it is supposed the density of pollution in a lake has memory. The model leads to a …

Water pollution is a critical global concern that demands ongoing scrutiny and revision of
water resource policies at all levels to safeguard a healthy living environment. In this study …

In this work, the newly developed optimal perturbation iteration technique with Laplace
transform is applied to the generalized regularized long wave equations with a new …

Abstract We employ Mittag-Leffler type kernels to solve a system of fractional differential
equations using fractal–fractional (FF) operators with two fractal and fractional orders. Using …

Since computer worms have very acute and negative effects on computer systems, they are
considered as one of the malicious bodies that induce serious issues in these structures …

In this paper, we examine a cubic isothermal auto-catalytic chemical system (CIACS) with
the help of the newly developed technique. Classical model of this system is transformed …

The purpose of this paper is to investigate the dynamics of the polluted lakes system through
fractional derivative approach in the sense of fractal-fractional operator. Initially, we derive …

The newly constructed optimal perturbation iteration procedure with Laplace transform is
applied to obtain the new approximate semi-analytical solutions of the fractional type of …

The purpose of this paper is to propose a new numerical technique called the natural
decomposition method (NDM) for solving fractional Bratu's initial value problems (FBIVP) in …