In the computer security and for any defensive strategy, computer viruses are very significant
aspect. To understand their expansion and extension is very important component. In order …

The systems with fractional time derivative (FTD) and fractional space derivative (FSD), with
different versions, have occupied a vast area of research in the literature. It is worth …

The present research investigates symmetric soliton solutions for the Fractional Coupled
Konno–Onno System (FCKOS) by using two improved versions of an Extended Direct …

In this investigation, we utilize advanced versions of the Extended Direct Algebraic Method
(EDAM), namely the modified EDAM (mEDAM) and r+ mEDAM, to explore families of optical …

This research uses a novel analytical method known as the modified Extended Direct
Algebraic Method (mEDAM) to explore families of soliton solutions for the complex …

This paper ensures meticulous mathematical study for analyzing the dynamics of smoking
model and its public health with Atangana–Baleanu derivative. The existence and …

A virus that causes hepatitis E is known as (HEV) and regarded on of the reason for lever
inflammation. In mathematical aspects a very low attention has been paid to HEV dynamics …

The key purpose of the present work is to examine a fractional giving up smoking model
pertaining to a new fractional derivative with non-singular kernel. The numerical simulations …

Hepatitis B is the major public health issue of the entire world. In mathematical
epidemiology, mathematical models play a vital role in understanding the dynamics of …

In this article, we present a modified auxiliary equation method. We harness this modification
in three fundamental models in the biological branch of science. These models are the …