## What is/are Anisotropic Nonlocal?

Anisotropic Nonlocal - Among them, the anisotropic nonlocal structure tensor (ANLST) has received much attention, recently.^{[1]}This paper focus on the critical wave speed and the traveling wave fronts for a general anisotropic nonlocal dispersal equation with delayed nonlocal response.

^{[2]}Establishing an equivalence between weighted and unweighted anisotropic nonlocal diffusion operators in the vein of unified nonlocal vector calculus, we apply our analysis to a class of fractional-order operators and present rigorous estimates for the solution of the corresponding anisotropic anomalous diffusion equation.

^{[3]}To comply with this description, the micromorphic stress-based localizing gradient damage model incorporates evolving anisotropic nonlocal interactions throughout the loading process through an anisotropic interaction tensor and a damage dependent interaction function.

^{[4]}Finally, we consider an anisotropic single-particle equation with nonlocal operator L is defined by the improper integrals with kernels Jj(xj) and it is a generation of an anisotropic nonlocal operator −∑j=1N(−∂xjxj)αj.

^{[5]}In this paper, a localizing gradient damage model with smoothed stress based anisotropic nonlocal interactions is proposed, which overcomes the limitations of conventional damage models for the accurate prediction of localized failure of quasi-brittle materials.

^{[6]}This paper obtains the numerical solutions of the elliptic solitons in a (1+2)-dimensional anisotropic nonlocal nonlinear fractional Schrödinger equation, and verifies their stabilities by the direct propagation method.

^{[7]}

## anisotropic nonlocal interaction

To comply with this description, the micromorphic stress-based localizing gradient damage model incorporates evolving anisotropic nonlocal interactions throughout the loading process through an anisotropic interaction tensor and a damage dependent interaction function.^{[1]}In this paper, a localizing gradient damage model with smoothed stress based anisotropic nonlocal interactions is proposed, which overcomes the limitations of conventional damage models for the accurate prediction of localized failure of quasi-brittle materials.

^{[2]}