The pattern formation process is closely associated with a class of reaction-diffusion
problems arising in mathematical biology and chemistry which has generated a lot of …

The present article deals with a fractional extension of the vibration equation for very large
membranes with distinct special cases. The fractional derivative is considered in Atangana …

In the present case, we propose the correct version of the fractional Adams-Bashforth
methods which take into account the nonlinearity of the kernels including the power law for …

Mathematical analysis with the numerical simulation of the newly formulated fractional
version of the Adams-Bashforth method using the Atangana-Baleanu operator which has …

In this work, the solution of Riesz space fractional partial differential equations of parabolic
type is considered. Since fractional-in-space operators have been applied to model …

This article presents a comprehensive literature survey on fractional-order optimal control
problems. Fractional-order differential equation is extensively used nowadays to model real …

This paper presents a numerical approach to solve the 2-dimensional reaction-diffusion
problem, a crucial model in physics and chemistry, with applications ranging from pattern …

Recently a new fractional differentiation was introduced to get rid of the singularity in the
Riemann-Liouville and Caputo fractional derivative. The new fractional derivative has then …

An epidemic system of HIV/AIDS transmission is examined in this paper. The classical time
derivative is modelled with the Atangana-Baleanu nonlocal and nonsingular fractional …

In this paper, we analyze an alcoholism model which involves the impact of Twitter via
Liouville–Caputo and Atangana–Baleanu–Caputo fractional derivatives with constant-and …