In order to control or operate any system in a closed-loop, it is important to know its behavior
in the form of mathematical models. In the last two decades, a fractional-order model has …

By using a new derivative with fractional order, referred to conformable derivative, an
alternative representation of the diffusion equation is proposed to improve the modeling of …

In the present work, we propose a new parameterization for the concentration flux using
fractional derivatives. The fractional order differential equation in the longitudinal and …

This paper explores a novel generalized one-dimensional fractional order Granular
equation with the effect of periodic forced term. This type of equation arises in different area …

In this paper, fractional-order time delay system modeling is presented using Haar wavelet
operational matrix of integration. Therefore, it does not require any prior knowledge of …

Numerical simulation technique of two-dimensional variable-order time fractional advection-
diffusion equation is developed in this paper using radial basis function-based differential …

The Kolmogorov model has been applied to many biological and environmental problems.
We are particularly interested in one of its variants, that is, a Gauss-type predator–prey …

The key objective of this paper is to study the imprecise biological complexities in the
interaction of two species pertaining to harvesting threshold. It is explained by taking the …

In this study, an analytical solution for the steady-state fractional advection–diffusion
equation was obtained to simulate the atmospheric dispersion of pollutants in a vertically …

The model is a subdiffusion-type fractional degenerate parabolic equation. We consider two
inverse source problems with power vertical diffusion coefficients, including the well-known …