Biomathematics has become one of the most significant areas of research as a result of
interdisciplinary study. Chronic diseases sometimes referred to as non-communicable and …

The global impact of corona virus (COVID-19) has been profound, and the public health
threat it represents is the most serious seen in a respiratory virus since the 1918 influenza A …

Abstract Models based on partial differential equations containing time–space fractional
derivatives have attracted considerable interest in the past decade because of their ability to …

In this paper we consider the analytical and numerical solutions for a two-dimensional multi-
term time-fractional diffusion and diffusion-wave equation. We derive the analytical solution …

Recently, numerous numerical schemes have been developed for solving single-term time-
space fractional diffusion-wave equations. Among them, some popular methods were …

The fundamental purpose of this paper is to study the numerical solution of multi-term time
fractional nonlinear Klein–Gordon equation, using regularized beta functions and fractional …

Magnetic resonance imaging (MRI) is used in physics, chemistry, engineering and medicine
to study complex materials. In this paper, numerical solution of fractional Bloch equations in …

In this paper, we consider the initial boundary value problem of the two dimensional multi-
term time fractional mixed diffusion and diffusion-wave equations. An alternating direction …

In this article, the numerical solution of fractional-order Bloch equations in MRI is obtained
using q-homotopy analysis transform method (q-HATM). The results are compared with …

This paper aims to estimate the parameters of the time-fractional Black-Scholes (TFBS)
partial differential equation with the Caputo fractional derivative by using the real option …