Waterborne diseases are illnesses caused by pathogenic bacteria that spread through water
and have a negative influence on human health. Due to the involvement of most countries in …

The present article deals with the exothermic reactions model having constant heat source
in the porous media with strong memory effects. The Caputo, Caputo-Fabrizio and Atangana …

In the recent years, few type of fractional derivatives which have non-local and non-singular
kernel are introduced. In this work, we present fractional rheological models and Newell …

In this work, a new fractional order epidemic model for the tuberculosis (TB) disease with
relapse using Atangana–Baleanu derivative is formulated. The basic reproduction number …

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 …

This paper is mainly concerned with introducing a new fractional derivative operator with a
generalized exponential kernel. The benefit of the new definition over existing exponential …

It is prominent that memory has a prodigious influence on the development of every process
associated with human societies. More specifically, the growth of an epidemic process is …

In this paper, a spatial sixth-order numerical scheme for solving the time-fractional diffusion
equation (TFDE) is proposed. The convergence order of the constructed numerical scheme …

This paper is concerned with numerical solution of time fractional stochastic advection-
diffusion type equation where the first order derivative is substituted by a Caputo fractional …

In the present work, the fractional‐order Sawada–Kotera–Ito problem is solved by
considering nonlocal Caputo and nonsingular Atangana–Baleanu (ABC) derivatives. The …