Fractional anisotropic diffusion equation in cylindrical brush model

Abstract

In this work, we have suggested a neat method of obtaining the fractional diffusion equation for an anomalous anisotropic diffusion process using fractal brush structure as a background medium. For the sake of completeness, we intend to present an analytical solution in the case of the Dirichlet boundary condition. Finally, some notes and remarks are represented to show the vital role of a physical or biological system that exhibits a multiple trapping process.

Propagation wave solutions with non-local nonlinearityfor stochastic NLSE

“…( 9), we need to evaluate the integer N at first. Balancing Q (4) with Q 5 , this provide N = 1. As a result, the following form can be used to express the solution of (9):…”

“…Several non-linear phenomena which occur in different applications like geology, plasma physics, chemical physics, fluid dynamics and biology can be modeled by using nonlinear partial differential equations (NLPDEs) [1][2][3][4][5][6][7][8][9]. Extracting solutions to these NLPDEs are crucial to identify the characteristics of these phenomena.…”

Quantization-Based Event-Triggered H∞ Consensus for Discrete-Time Markov Jump Fractional-Order Multiagent Systems with DoS Attacks

“…FOMASs are considered to be more reliable, flexible, and accurate in modeling the systems than integer-order MASs. Fractional-order systems are widely used for dynamical systems with memory or hereditary features [21][22][23]. The paper addresses the consensus challenges in FOMASs (DTFOMASs).…”

Investigation of new waves in chemical engineering

“…The theory of solitons is of great importance in various fields of applied sciences and new physics [23][24][25]. Soliton solutions play the crucial role biological sciences in the filed of neurosciences [26,27].…”