Fractional reaction-diffusion equations are derived by exploiting the geometrical similarities between a comb structure and a spiny dendrite. In the framework of the obtained equations, two scenarios of reaction transport in spiny dendrites are explored, where both a linear reaction in spines and nonlinear Fisher-Kolmogorov-Petrovskii-Piskunov reactions along dendrites are considered. In the fr...

The use of reaction-diffusion models rests on the key assumption that the diffusive process is Gaussian. However, a growing number of studies have pointed out the presence of anomalous diffusion, and there is a need to understand reactive systems in the presence of this type of non-Gaussian diffusion. Here we study front dynamics in reaction-diffusion systems where anomalous diffusion is due to...

We provide a detailed description of numerical approach that makes use the shifted Chebyshev polynomials sixth kind to approximate solution some fractional order differential equations. Specifically, we choose Fisher–Kolmogorov–Petrovskii–Piskunov equation (FFKPPE) describe this method. write our in product form, which consists unknown coefficients and polynomials. To compute values coefficient...

Variational quantum algorithms (VQAs) that estimate values of widely used physical quantities such as the rank, entropies, Bures fidelity and Fisher information mixed states are developed. In addition, variations these VQAs also adapted to perform other useful functions state learning approximate fractional inverses. The common theme shared by proposed is their cost all based on minimizing puri...

We study a model with fractional quantum numbers using Monte Carlo techniques. The model is composed of bosons interacting though a Z 2 gauge field. We find that the system has three phases: a phase in which the bosons are confined, a fractionalized phase in which the bosons are deconfined, and a phase in which the bosons are condensed. The deconfined phase has a " topological " order due to th...