Because they are useful for both enabling numerical simulations and containing well-
defined physical phenomena, discrete fractional reaction–diffusion models have attracted a …

In the last few years, reaction–diffusion models associated with discrete fractional calculus
have risen in prominence in scientific fields, not just due to the requirement for numerical …

This article presents a comparative analysis of the conformable time–space fractional Fokker–
Planck equation (TSF-FP equation) by operating two efficacious techniques: Fractional …

In order to stop and reverse land degradation and curb the loss of biodiversity, the United
Nations 2030 Agenda for Sustainable Development proposes to combat desertification. In …

This paper proposes the shifted Legendre Gauss–Lobatto collocation (SL‐GLC) scheme to
solve two‐dimensional space‐fractional coupled reaction–diffusion equations (SFCRDEs) …

This paper studies a quantum particle traveling in a fractal space-time, which can be
modelled by a fractional modification of the Schrödinger equation with variable coefficients …

Chaotic systems arise everywhere in control theory and nonlinear vibration. This paper uses
a high-precision numerical approach for capturing chaotic attractors of the fractional EI Ni ñ …

The soliton propagation of the fractional-in-space nonlinear Schrodinger equation (NLSE) is
much more complicated than that of the corresponding integer NLSE. The aim of this paper …

This paper studies numerical methods for the two-dimensional fractional Gray-Scott (GS)
model with fractional Laplacian. A three-level linearized difference scheme for solving the …

In this research article, we analyzed the fractional order Selkov-Schnakenberg system under
consideration for the sake of classical regularity and analytical solutions. The existence and …