Existence, uniqueness and exponential stability of traveling wave solutions of some integral differential equations arising from neuronal networks

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How to Approximate the Heat Equation with Neumann Boundary Conditions by Nonlocal Diffusion Problems (2006, unknown): “For recent references on nonlocal diffusion see, [1], [2], [3], [4], [5], [6], [9], [10], [12], [13], [14] and references therein.”
A nonlocal p-Laplacian evolution equation with Neumann boundary conditions (2008, methodology): “and variations of it, have been recently widely used to model diusion processes, see [7], [8], [10], [17], [18], [19], [21], [25], [26], [29], [31] and [ 34 ].”
A nonlocal convection–diffusion equation (2007, unknown): “[2], [4], [6], [7], [10], [13], [14], [20] and [21].”
The Neumann problem for nonlocal nonlinear diffusion equations (2008, methodology): “and variations of it, have been recently widely used to model diffusion processes, see [2], [4], [9], [11], [12], [16], [17], [18], [19] and [20].”
Nonlocal diffusion problems that approximate the heat equation with Dirichlet boundary conditions (2009, background): “For recent references on nonlocal diffusion see, [1], [2], [3], [4], [5], [6], [10], [11], [13], [14] and references therein.”
Asymptotic behavior for nonlocal diffusion equations (2006, methodology): “Nonlocal evolution equations of the form: J(x − y)u(y,t) d y − u(x,t), u(x, 0 ) = u 0 (x), (1) and variations of it, have been recently widely used in the modelling of diffusion processes, see [1,3,6,9,11,16, 17,20–22].”